{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "btRuklcGrGwQ"
      },
      "source": [
        "# Spring Mass Simulation using RK4\n",
        "## Simulation Code\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "scrolled": false,
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "y0Khdd0nZsf2",
        "outputId": "84da5db4-d21e-49fb-b5ba-d9e6f099bd27"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.3671460645786982\n"
          ]
        }
      ],
      "source": [
        "import numpy as np\n",
        "def forwardEuler(f, t_i, y_i, dt):\n",
        "    # f : derivative function\n",
        "    # t_i: current time, \n",
        "    # y_i: current value\n",
        "    # dt: stepsize\n",
        "    y_next = y_i + dt*f(t_i, y_i) # next_value\n",
        "    return y_next\n",
        "\n",
        "t0=0\n",
        "y0=0\n",
        "def f(y,t):\n",
        "    return y - np.sin(t)\n",
        "t = t0\n",
        "y = y0\n",
        "k = 10**(-2)\n",
        "while t < 1:\n",
        "    y_next = forwardEuler(f, t, y, k)\n",
        "    y = y_next\n",
        "    t = t + k\n",
        "\n",
        "print(y)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "id": "bmeIbcQwpjsL"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import matplotlib.animation as animation\n",
        "from IPython.display import HTML\n",
        "\n",
        "import seaborn as sns\n",
        "sns.set_style('darkgrid')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "id": "CPDj6xZ1piFV"
      },
      "outputs": [],
      "source": [
        "def forwardEuler(f, t_i, y_i, dt):\n",
        "  y_next = y_i + dt*f(t_i, y_i)\n",
        "  return y_next\n",
        "\n",
        "def rungeKutta2(f, t_i, y_i, dt):\n",
        "  y_star = forwardEuler(f, t_i, y_i, dt)\n",
        "  An = f(t_i, y_i)\n",
        "  Bn = f(t_i + dt, y_star)\n",
        "  better_slope = (An + Bn) / 2\n",
        "\n",
        "  y_next = y_i + dt*better_slope\n",
        "  return y_next \n",
        "\n",
        "def rungeKutta4(f, t_i, y_i, dt):\n",
        "  f_1 = f(t_i, y_i)\n",
        "  f_2 = f(t_i + dt/2, y_i + (1/2)*dt*f_1)\n",
        "  f_3 = f(t_i + dt/2, y_i + (1/2)*dt*f_2)\n",
        "  f_4 = f(t_i + dt, y_i + dt*f_3)\n",
        "\n",
        "  y_next = y_i + (1/6)*dt*(f_1 + 2*f_2 + 2*f_3 + f_4)\n",
        "\n",
        "  return y_next"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "id": "5zZxUmaV0K11"
      },
      "outputs": [],
      "source": [
        "class Spring_Mass:\n",
        "\n",
        "    def __init__(self, x0, v0, dt, length = 3, m = 0.25, k = 42, damping = 0):\n",
        "\n",
        "        self.length = length # length of the spring at rest\n",
        "        self.xs = [x0] # initial position\n",
        "        self.vs = [v0] # initial velocity\n",
        "        self.m = m # mass of the object\n",
        "        self.k = k # spring constant\n",
        "        self.beta = damping # damping coefficient\n",
        "        self.ts = [0.0]\n",
        "        self.a_s = []\n",
        "        self.dt = dt #timestep\n",
        "\n",
        "        self.states = [(x0, v0)]\n",
        "\n",
        "        self.omega = np.sqrt(self.k/self.m) \n",
        "\n",
        "    def get_acceleration(self):\n",
        "        a_next = (1/self.m) * (-self.beta*self.vs[-1] - self.k*self.xs[-1])\n",
        "        self.a_s.append(a_next)\n",
        "    \n",
        "    def derivatives(self, t, state):\n",
        "        k = self.k\n",
        "        m = self.m\n",
        "        beta = self.beta\n",
        "\n",
        "        x = state[0]\n",
        "        v = state[1]\n",
        "\n",
        "        x_prime = v\n",
        "        v_prime = (1/m) * (-beta*v - k*x)\n",
        "\n",
        "        return np.array((x_prime, v_prime))\n",
        "    \n",
        "    def update_euler(self):\n",
        "        self.get_acceleration()\n",
        "        v_next = self.vs[-1] + self.a_s[-1] * self.dt\n",
        "        x_next = self.xs[-1] + self.vs[-1] * self.dt\n",
        "\n",
        "        self.vs.append(v_next)\n",
        "        self.xs.append(x_next)\n",
        "\n",
        "        t_next = self.ts[-1] + self.dt\n",
        "        self.ts.append(t_next)   \n",
        "\n",
        "    def update_euler_cromer(self):\n",
        "        self.get_acceleration()\n",
        "        v_next = self.vs[-1] + self.a_s[-1] * self.dt\n",
        "        x_next = self.xs[-1] + v_next * self.dt\n",
        "\n",
        "        self.vs.append(v_next)\n",
        "        self.xs.append(x_next)\n",
        "\n",
        "        t_next = self.ts[-1] + self.dt\n",
        "        self.ts.append(t_next)     \n",
        "\n",
        "    def updateRK4(self):\n",
        "        state_next = rungeKutta4(self.derivatives, self.ts[-1], self.states[-1], self.dt)\n",
        "        self.states.append(state_next)\n",
        "\n",
        "        t_next = self.ts[-1] + self.dt\n",
        "        self.ts.append(t_next)\n",
        "\n",
        "        self.xs.append(state_next[0])\n",
        "        self.vs.append(state_next[1])\n",
        "\n",
        "    def updateRK2(self):\n",
        "        state_next = rungeKutta2(self.derivatives, self.ts[-1], self.states[-1], self.dt)\n",
        "        self.states.append(state_next)\n",
        "\n",
        "        t_next = self.ts[-1] + self.dt\n",
        "        self.ts.append(t_next)\n",
        "\n",
        "        self.xs.append(state_next[0])\n",
        "        self.vs.append(state_next[1])\n",
        "\n",
        "    def display(self):\n",
        "        current_x = self.xs[-1]\n",
        "        a = [-3, current_x]\n",
        "        b = [0, 0]\n",
        "        if a[-1] < 0:\n",
        "            plt.plot(a, b, color = 'blue')\n",
        "        else:\n",
        "            plt.plot(a, b, color = 'green')\n",
        "        plt.scatter([current_x],[0], s = 1000, color = 'red')\n",
        "        plt.vlines(0, -2, 2, linestyles='dotted')\n",
        "\n",
        "        plt.xlim(-3, 5)\n",
        "        plt.title(\"Time = \"+str(np.round(self.ts[-1], 2)))\n",
        "\n",
        "        plt.show()\n",
        "    \n",
        "    def update_exact(self):\n",
        "        '''\n",
        "        Exact solution of the undamped mass spring system\n",
        "        '''\n",
        "        x_next = x0 * np.cos(self.omega * self.ts[-1])\n",
        "        v_next = -x0 * self.omega * np.sin(self.omega * self.ts[-1])\n",
        "        \n",
        "        self.xs.append(x_next)\n",
        "        self.vs.append(v_next)\n",
        "\n",
        "        t_next = self.ts[-1] + self.dt\n",
        "        self.ts.append(t_next)\n",
        "\n",
        "    def update(self, method = 'RK4'):\n",
        "        if method == 'Euler':\n",
        "            self.update_euler()\n",
        "        elif method == 'RK4':\n",
        "            self.updateRK4()\n",
        "        elif method == 'RK2':\n",
        "            self.updateRK2()\n",
        "        elif method == 'exact':\n",
        "            self.update_exact()\n",
        "        elif method == 'Euler-Cromer':\n",
        "            self.update_euler_cromer()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XFkFoDXtrqRS"
      },
      "source": [
        "## Testing the simulation"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "V0chz3__R3TW",
        "outputId": "4d3e7df0-3926-4727-d60e-769857174dc2"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1440x432 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "# Test Case\n",
        "m = 0.25 \n",
        "k = 42\n",
        "damping = 0\n",
        "\n",
        "x0 = -1.5\n",
        "v0 = 0.0\n",
        "dt = 0.01\n",
        "\n",
        "spring_mass = Spring_Mass(x0, v0, dt=dt, damping=0)\n",
        "spring_mass.display()\n",
        "\n",
        "for i in range(500):\n",
        "    spring_mass.update()\n",
        "    if i%100 == 0:\n",
        "        spring_mass.display()\n",
        "\n",
        "plt.figure(figsize = (20,6))\n",
        "\n",
        "plt.subplot(131)\n",
        "plt.plot(spring_mass.ts, spring_mass.xs)\n",
        "plt.xlabel('Time (s)')\n",
        "plt.ylabel('Distance From Equilibrium (m)')\n",
        "plt.title('Distance vs Time Plot')\n",
        "\n",
        "plt.subplot(132)\n",
        "plt.plot(spring_mass.ts, spring_mass.vs)\n",
        "plt.xlabel('Time (s)')\n",
        "plt.ylabel('Velocity (m/s)')\n",
        "plt.title('Velocity vs Time Plot')\n",
        "\n",
        "plt.subplot(133)\n",
        "plt.plot(spring_mass.xs, spring_mass.vs)\n",
        "plt.title('Distance vs Velocity Plot (Phase Diagram)')\n",
        "plt.xlabel('Distance (m)')\n",
        "plt.ylabel('Velocity (m/s)')\n",
        "\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8wETnLcfyxYl"
      },
      "source": [
        "## Animation"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "id": "uYAiUHl7gwmd"
      },
      "outputs": [],
      "source": [
        "import math\n",
        "\n",
        "# This code for genarating a spring was taken from \n",
        "# N.R. Syed, Spring, (2018), GitHub repository, https://github.com/nrsyed/utilities/tree/master/spring \n",
        "\n",
        "def spring(start, end, nodes, width):\n",
        "    \"\"\"!\n",
        "    Return a list of points corresponding to a spring.\n",
        "    @param r1 (array-like) The (x, y) coordinates of the first endpoint.\n",
        "    @param r2 (array-like) The (x, y) coordinates of the second endpoint.\n",
        "    @param nodes (int) The number of spring \"nodes\" or coils.\n",
        "    @param width (int or float) The diameter of the spring.\n",
        "    @return An array of x coordinates and an array of y coordinates.\n",
        "    \"\"\"\n",
        "\n",
        "    # Check that nodes is at least 1.\n",
        "    nodes = max(int(nodes), 1)\n",
        "\n",
        "    # Convert to numpy array to account for inputs of different types/shapes.\n",
        "    start, end = np.array(start).reshape((2,)), np.array(end).reshape((2,))\n",
        "\n",
        "    # If both points are coincident, return the x and y coords of one of them.\n",
        "    if (start == end).all():\n",
        "        return start[0], start[1]\n",
        "\n",
        "    # Calculate length of spring (distance between endpoints).\n",
        "    length = np.linalg.norm(np.subtract(end, start))\n",
        "\n",
        "    # Calculate unit vectors tangent (u_t) and normal (u_t) to spring.\n",
        "    u_t = np.subtract(end, start) / length\n",
        "    u_n = np.array([[0, -1], [1, 0]]).dot(u_t)\n",
        "\n",
        "    # Initialize array of x (row 0) and y (row 1) coords of the nodes+2 points.\n",
        "    spring_coords = np.zeros((2, nodes + 2))\n",
        "    spring_coords[:,0], spring_coords[:,-1] = start, end\n",
        "\n",
        "    # Check that length is not greater than the total length the spring\n",
        "    # can extend (otherwise, math domain error will result), and compute the\n",
        "    # normal distance from the centerline of the spring.\n",
        "    normal_dist = math.sqrt(max(0, width**2 - (length**2 / nodes**2))) / 2\n",
        "\n",
        "    # Compute the coordinates of each point (each node).\n",
        "    for i in range(1, nodes + 1):\n",
        "        spring_coords[:,i] = (\n",
        "            start\n",
        "            + ((length * (2 * i - 1) * u_t) / (2 * nodes))\n",
        "            + (normal_dist * (-1)**i * u_n))\n",
        "\n",
        "    return spring_coords[0,:], spring_coords[1,:]"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 700
        },
        "id": "llfxuMXhar8r",
        "outputId": "42e468cd-599b-4928-fd58-792fbaa4dcdf"
      },
      "outputs": [
        {
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            ],
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ]
          },
          "execution_count": 192,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
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\n",
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "m = 0.25 \n",
        "k = 42\n",
        "damping = 0.25 # animation with damping looks nicer\n",
        "\n",
        "x0 = -2.5\n",
        "v0 = 0.0\n",
        "dt = 0.01\n",
        "\n",
        "spring_mass = Spring_Mass(x0, v0, dt=dt, damping=damping)\n",
        "\n",
        "#############\n",
        "# ANIMATION #\n",
        "#############\n",
        "\n",
        "#%matplotlib notebook\n",
        "\n",
        "# create figure, axis, and lines for drawing\n",
        "lines  = [None, None]\n",
        "fig    = plt.figure(figsize =(8,5))\n",
        "ax     = plt.subplot(xlim = (-3, abs(x0)*1.5), ylim = (-2, 2))\n",
        "\n",
        "nodes = 12\n",
        "width = 0.5\n",
        "\n",
        "# initialize lines to certain values\n",
        "current_x = spring_mass.xs[-1]\n",
        "start = (-3, 0)\n",
        "end = (current_x, 0)\n",
        "x_coords, y_coords = spring(start, end, nodes, width)\n",
        "\n",
        "lines[0], = ax.plot([current_x], [0], ms = 30, color = 'red', marker = 'o') \n",
        "if current_x < 0:\n",
        "    lines[1], = ax.plot(x_coords, y_coords, color = 'blue')\n",
        "else:\n",
        "    lines[1], = ax.plot(x_coords, y_coords, color = 'green')\n",
        "\n",
        "\n",
        "ax.set_yticks([])\n",
        "ax.vlines(0, -2, 2, linestyles = 'dotted')\n",
        "ax.set_title(f'Time: {np.round(spring_mass.ts[-1], 2)}')\n",
        "\n",
        "def animate(i):\n",
        "    for _ in range(5):\n",
        "        spring_mass.update()\n",
        "\n",
        "    current_x = spring_mass.xs[-1]\n",
        "    current_x = spring_mass.xs[-1]\n",
        "    end = (current_x, 0)\n",
        "    x_coords, y_coords = spring(start, end, nodes, width)\n",
        "\n",
        "    lines[0].set_data(current_x, 0)\n",
        "    lines[1].set_data(x_coords, y_coords)\n",
        "    if current_x < 0:\n",
        "        lines[1].set_color('blue')\n",
        "    else:\n",
        "        lines[1].set_color('green')\n",
        "    ax.set_title(f'Time: {np.round(spring_mass.ts[-1], 2)}')\n",
        "    return lines\n",
        "    \n",
        "    \n",
        "# starts animation\n",
        "#from IPython.display import HTML\n",
        "ani = animation.FuncAnimation(fig, animate, np.arange(1, 70), interval = 150, blit = True)\n",
        "HTML(ani.to_html5_video())"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Dr4zPl62ubXG"
      },
      "source": [
        "# Order of a Method"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "CmjVqJA1u9L3"
      },
      "outputs": [],
      "source": [
        "def testNumericalMethod(numerical_method, f, y0, interval, dt):\n",
        "    '''\n",
        "    Input:\n",
        "    numerical_method - method to use to predict the system\n",
        "    y0 - initial value/state of the system\n",
        "    f - derivative of the system\n",
        "    interval - the time interval\n",
        "    dt - stepsize\n",
        "\n",
        "    Output:\n",
        "    t - times of all of the steps in given interval \n",
        "    y - values of the system at corresponding time\n",
        "    '''\n",
        "    t = np.arange(interval[0], interval[1]+dt, dt)\n",
        "    y = [y0]\n",
        "\n",
        "    for i in range(len(t)-1):\n",
        "    y_next = numerical_method(f, t[i], y[i], dt)\n",
        "    y.append(y_next) \n",
        "\n",
        "    return t, y"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "721l0T_-uvj5"
      },
      "outputs": [],
      "source": [
        "def get_odex(numerical_method):\n",
        "    '''\n",
        "    Return a ode solver function which will output the values of \n",
        "    the system at corresponding times in the given interval\n",
        "    '''\n",
        "    def odex(f, y0, interval, dt):\n",
        "    return testNumericalMethod(numerical_method, f, y0, interval, dt)\n",
        "    return odex\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "_8z6cv1tueSK"
      },
      "outputs": [],
      "source": [
        "from numpy import log2\n",
        "\n",
        "def orderx(odex, reduction_factor=2):\n",
        "    F = lambda t,y: 1/((1+t)**2) \n",
        "    t0 = 0\n",
        "    tfinal = 1\n",
        "    vexact = lambda t: 1/(t+1)\n",
        "    y0 = 0\n",
        "\n",
        "    #Choose a step size.\n",
        "    h = 0.1\n",
        "    tout, yout = odex(F, y0, (t0, tfinal), h)\n",
        "    v1 = yout[-1]\n",
        "\n",
        "    #Reduce the step size, e.g., by a factor of 2.\n",
        "    h = h/reduction_factor\n",
        "    tout2, yout2 = odex(F, y0, (t0, tfinal), h)\n",
        "    v2 = yout2[-1]\n",
        "\n",
        "    #Compare the ratio of the error for the different step sizes\n",
        "    ratio = (v1 - vexact(tfinal))/(v2 - vexact(tfinal))\n",
        "\n",
        "    #Determine the order of the ratio relative to a base of 2\n",
        "    p = round(log2(ratio) / log2(reduction_factor))\n",
        "    return ratio, p\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "WKZd7uGQuybu",
        "outputId": "8e29a5fc-cd79-400f-ac4b-c50c88b83de6"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Euler:  1\n",
            "RK2:  2\n",
            "RK4:  4\n"
          ]
        }
      ],
      "source": [
        "ode1 = get_odex(forwardEuler)\n",
        "ode2 = get_odex(rungeKutta2)\n",
        "ode4 = get_odex(rungeKutta4)\n",
        "\n",
        "order1 = []\n",
        "order2 = []\n",
        "order4 = []\n",
        "\n",
        "factors = [2,4,6,8]\n",
        "for factor in factors:\n",
        "  ratio_ode1, p_ode1 = orderx(ode1, reduction_factor=factor)\n",
        "  order1.append(ratio_ode1)\n",
        "  ratio_ode2, p_ode2 = orderx(ode2, reduction_factor=factor)\n",
        "  order2.append(ratio_ode2)\n",
        "  ratio_ode4, p_ode4 = orderx(ode4, reduction_factor=factor)\n",
        "  order4.append(ratio_ode4)\n",
        "\n",
        "print('Euler: ', p_ode1)\n",
        "print('RK2: ', p_ode2)\n",
        "print('RK4: ', p_ode4)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 388
        },
        "id": "iKeLtnm1l6Id",
        "outputId": "a47201ba-ef48-4d2c-9069-feddb61af6f8"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1440x432 with 3 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.figure(figsize=(20,6))\n",
        "plt.subplot(1,3,1)\n",
        "plt.plot(factors, order1, marker='o', label='Euler (1st-order)')\n",
        "plt.legend()\n",
        "plt.xlabel(\"Step size reduction factor\")\n",
        "plt.ylabel(\"Error reduction ratio\")\n",
        "\n",
        "plt.subplot(1,3,2)\n",
        "plt.plot(factors, order1, marker='o', label='Euler (1st-order)')\n",
        "plt.plot(factors, order2, marker='o', label='RK2 (2nd-order)')\n",
        "plt.legend()\n",
        "plt.xlabel(\"Step size reduction factor\")\n",
        "plt.ylabel(\"Error reduction ratio\")\n",
        "\n",
        "plt.subplot(1,3,3)\n",
        "plt.plot(factors, order1, marker='o', label='Euler (1st-order)')\n",
        "plt.plot(factors, order2, marker='o', label='RK2 (2nd-order)')\n",
        "plt.plot(factors, order4, marker='o', label='RK4 (4nd-order)')\n",
        "plt.legend()\n",
        "plt.xlabel(\"Step size reduction factor\")\n",
        "plt.ylabel(\"Error reduction ratio\")\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 388
        },
        "id": "cZc-OHk-u2P5",
        "outputId": "08c94e9b-89b7-43ca-bfa4-a1d8921ab3b9"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x432 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.figure(figsize=(8,6))\n",
        "plt.plot(factors, np.log(order1)/np.log(factors), marker='o', label='Euler (1st-order)')\n",
        "plt.plot(factors, np.log(order2)/np.log(factors), marker='o', label='RK2 (2nd-order)')\n",
        "plt.plot(factors, np.log(order4)/np.log(factors), marker='o', label='RK4 (4nd-order)')\n",
        "plt.legend()\n",
        "plt.xlabel(\"Step Size reduction factor\")\n",
        "plt.ylabel(\"log(Error reduction ratio) / log(step size reduction factor)\")\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8Apst08A3R1M"
      },
      "source": [
        "# Damped-Spring-Mass Simulation"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "DnHwGu034Lfj"
      },
      "source": [
        "## Critical Damping"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Ss9TAA7o2voT"
      },
      "source": [
        "When the damping coefficient is low, the system still oscillates but the amplitude decreases and it comes to rest eventually. It is called an ***underdamped system***. If the coefficient increases, at one point the system comes to rest even without any oscillation, which is called ***critically damped***.\n",
        "\n",
        "Now let's consider the given system with m = 0.25 and k = 30."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "_F2_KIsupoUf",
        "outputId": "f4b7afbc-c2ed-4ff1-eee4-0a114a0d6e04"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1296x1296 with 9 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "dt = 0.01\n",
        "m = 0.25\n",
        "k = 30\n",
        "\n",
        "dampings = [1,2,3,4,5,6,7,8,9]\n",
        "iterations = 20\n",
        "\n",
        "plt.figure(figsize = (18, 18))\n",
        "\n",
        "for i in range(len(dampings)):\n",
        "    damping = dampings[i]\n",
        "\n",
        "    plt.subplot(3,3,i+1)\n",
        "    for _ in range(iterations):\n",
        "        x0 = np.random.uniform(-10,10)\n",
        "        v0 = np.random.uniform(-10,10)\n",
        "        spring_mass = Spring_Mass(x0, v0, dt, k = k, m = m, damping = damping)\n",
        "\n",
        "        for _ in range(200):\n",
        "            spring_mass.update(method = 'RK4')\n",
        "\n",
        "        plt.plot(spring_mass.xs, spring_mass.vs)\n",
        "\n",
        "    plt.title('Damping = '+str(damping) )\n",
        "    plt.xlabel('Position (m)')\n",
        "    plt.ylabel('Velocity (m/s)')\n",
        "\n",
        "    #plt.legend()    \n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "_xHZ3sWo4Mv4",
        "outputId": "a8ac02e0-833f-43f9-9568-a717e6c6c0e9"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1296x1296 with 9 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "dt = 0.01\n",
        "m = 0.25\n",
        "k = 30\n",
        "\n",
        "dampings = [1,2,3,4,5,6,7,8,9]\n",
        "iterations = 20\n",
        "\n",
        "plt.figure(figsize = (18, 18))\n",
        "\n",
        "for i in range(len(dampings)):\n",
        "    damping = dampings[i]\n",
        "\n",
        "    plt.subplot(3,3,i+1)\n",
        "    n_crossed_equilibriam = 0\n",
        "    for _ in range(iterations):\n",
        "        x0 = np.random.uniform(-10,10)\n",
        "        v0 = np.random.uniform(-10,10)\n",
        "        spring_mass = Spring_Mass(x0, v0, dt, k = k, m = m, damping = damping)\n",
        "\n",
        "        for _ in range(150):\n",
        "            spring_mass.update(method = 'RK4')\n",
        "        \n",
        "        plt.plot(spring_mass.ts, spring_mass.xs)\n",
        "\n",
        "    plt.title('Damping = '+str(damping) )\n",
        "    plt.xlabel('Time (s)')\n",
        "    plt.ylabel('Position (m)')\n",
        "   \n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "dt = 0.01\n",
        "m = 0.25\n",
        "k = 30\n",
        "\n",
        "#dampings = [1,2,3,4,5,6,7,8,9]\n",
        "iterations = 30\n",
        "\n",
        "x0 = np.random.uniform(-10,10)\n",
        "v0 = np.random.uniform(-10,10)\n",
        "spring_mass = Spring_Mass(x0, v0, dt, k = k, m = m, damping = 0)\n",
        "\n",
        "\n",
        "n_animate = 19\n",
        "interval = 600\n",
        "\n",
        "fig = plt.figure(figsize = (8, 6))\n",
        "ax = plt.subplot(ylim=(-10, 10))\n",
        "\n",
        "lines = [None]\n",
        "\n",
        "\n",
        "dampings = np.linspace(0,9,n_animate)\n",
        "\n",
        "def animate(i):\n",
        "    ax.clear()\n",
        "    damping = dampings[i]\n",
        "    \n",
        "    for _ in range(iterations):\n",
        "        x0 = np.random.uniform(-10,10)\n",
        "        v0 = np.random.uniform(-10,10)\n",
        "        spring_mass = Spring_Mass(x0, v0, dt, k = k, m = m, damping = damping)\n",
        "\n",
        "        for _ in range(150):\n",
        "            spring_mass.update(method = 'RK4')\n",
        "        \n",
        "        lines[0], = ax.plot(spring_mass.ts, spring_mass.xs)\n",
        "\n",
        "    # Setting the axes properties\n",
        "    ax.set_xlabel('Time, t')\n",
        "\n",
        "    ax.set_ylim([-10, 10])\n",
        "    ax.set_ylabel('Position (m)')\n",
        "    \n",
        "    ax.set_title(f'Damping = {damping:0.2f}', \n",
        "                 loc = 'center', fontweight = 3, fontsize = 15)\n",
        "    return lines\n",
        "\n",
        "# starts animation\n",
        "ani = animation.FuncAnimation(fig, animate, n_animate, interval = interval, blit = True)\n",
        "    \n",
        "HTML(ani.to_html5_video())\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 842
        },
        "id": "NM9mQqusaZsB",
        "outputId": "ef1ff5f2-1cf7-4145-fc62-87401969ee3a"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ],
            "text/html": [
              "<video width=\"576\" height=\"432\" controls autoplay loop>\n",
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              "\">\n",
              "  Your browser does not support the video tag.\n",
              "</video>"
            ]
          },
          "metadata": {},
          "execution_count": 17
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x432 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "dt = 0.01\n",
        "m = 0.25\n",
        "k = 30\n",
        "\n",
        "#dampings = [1,2,3,4,5,6,7,8,9]\n",
        "iterations = 30\n",
        "\n",
        "x0 = np.random.uniform(-10,10)\n",
        "v0 = np.random.uniform(-10,10)\n",
        "spring_mass = Spring_Mass(x0, v0, dt, k = k, m = m, damping = 0)\n",
        "\n",
        "\n",
        "n_animate = 19\n",
        "interval = 600\n",
        "\n",
        "fig = plt.figure(figsize = (8, 6))\n",
        "ax = plt.subplot(ylim=(-10, 10))\n",
        "\n",
        "lines = [None]\n",
        "\n",
        "\n",
        "dampings = np.linspace(0,9,n_animate)\n",
        "\n",
        "def animate(i):\n",
        "    ax.clear()\n",
        "    damping = dampings[i]\n",
        "    \n",
        "    for _ in range(iterations):\n",
        "        x0 = np.random.uniform(-10,10)\n",
        "        v0 = np.random.uniform(-10,10)\n",
        "        spring_mass = Spring_Mass(x0, v0, dt, k = k, m = m, damping = damping)\n",
        "\n",
        "        for _ in range(150):\n",
        "            spring_mass.update(method = 'RK4')\n",
        "        \n",
        "        lines[0], = ax.plot(spring_mass.xs, spring_mass.vs)\n",
        "\n",
        "    # Setting the axes properties\n",
        "    ax.set_xlim([-10, 10])\n",
        "    ax.set_xlabel('Position (m)')\n",
        "\n",
        "    # ax.set_ylim([-10, 10])\n",
        "    ax.set_ylabel('Velocity (m/s)')\n",
        "    \n",
        "    ax.set_title(f'Damping = {damping:0.2f}', \n",
        "                 loc = 'center', fontweight = 3, fontsize = 15)\n",
        "    return lines\n",
        "\n",
        "# starts animation\n",
        "ani = animation.FuncAnimation(fig, animate, n_animate, interval = interval, blit = True)\n",
        "    \n",
        "HTML(ani.to_html5_video())\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 842
        },
        "id": "x-ZdLV-xdOMK",
        "outputId": "4882eca2-673f-401e-c2f0-24b75f392d2d"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "\">\n",
              "  Your browser does not support the video tag.\n",
              "</video>"
            ]
          },
          "metadata": {},
          "execution_count": 18
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x432 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3Oy6xijC8qsb"
      },
      "source": [
        "It seems like the critical damping is between 5 and 6 as this is where we can find a straight line in the phase diagram and also we cannot see oscillations in the position vs time graph.\n",
        "\n",
        "But let's define a metric to determine the critical damping even better. We can assume that, at critical temperature most of the time the mass will never cross the equilibrium position. So in every iteration, we can try to check if the mass crosses the equilibrium or not. We did that by multiplying the first and last value of the sorted position of the mass. If it didn't cross, then both should have similar sign and their multiplication must be positive.\n",
        "\n",
        "Then we calculated the proportion of time where the mass crosses the equilibrium."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "jDnT0PfC4K2m"
      },
      "outputs": [],
      "source": [
        "dt = 0.01\n",
        "m = 0.25\n",
        "k = 30\n",
        "\n",
        "dampings = np.linspace(3,8,11)\n",
        "iterations = 20\n",
        "prop_crossing = []\n",
        "\n",
        "for i in range(len(dampings)):\n",
        "    damping = dampings[i]\n",
        "\n",
        "    n_crossed_equilibriam = 0\n",
        "    for _ in range(iterations):\n",
        "        x0 = np.random.uniform(-10,10)\n",
        "        v0 = np.random.uniform(-10,10)\n",
        "        spring_mass = Spring_Mass(x0, v0, dt, k = k, m = m, damping = damping)\n",
        "\n",
        "        for _ in range(150):\n",
        "            spring_mass.update(method = 'RK4')\n",
        "            \n",
        "        if (sorted(spring_mass.xs)[-1] * sorted(spring_mass.xs)[0]) < 0:\n",
        "             n_crossed_equilibriam += 1\n",
        "    \n",
        "    prop_crossing.append(n_crossed_equilibriam/iterations)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        },
        "id": "7AvabMt79CDo",
        "outputId": "a84428d3-aadf-471d-ab2a-5f67cfcc7d9a"
      },
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
            "  FutureWarning\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x360 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.figure(figsize=(7,5))\n",
        "sns.lineplot(dampings, prop_crossing)\n",
        "plt.ylabel('Proportion of Equilibrium Crossing')\n",
        "plt.xlabel('Damping Coefficient, $\\\\beta$')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "g-U8eLrY2eKn"
      },
      "source": [
        "At $\\beta = 5$, the mass crosses the equilibrium in all iterations, while at $\\beta = 5.5$, the mass never crosses the equilibrium position.\n",
        "\n",
        "So, from the empirical analysis, we can say that the critical damping, $\\beta_{crit}$ is most likely in between 5 to 5.5.\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "em7Cx8xU3ML0"
      },
      "source": [
        "## Varying spring constant, k"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "a4XMmdVR9hws"
      },
      "outputs": [],
      "source": [
        "dt = 0.01\n",
        "m = 0.25\n",
        "k_s = np.array([15,30,45,60])\n",
        "\n",
        "dampings = np.linspace(2,9,15)\n",
        "iterations = 50\n",
        "prop_crossing_k = np.zeros((len(k_s), len(dampings)))\n",
        "\n",
        "for i in range(len(k_s)):\n",
        "    k = k_s[i]\n",
        "\n",
        "    for j in range(len(dampings)):\n",
        "        damping = dampings[j]\n",
        "        n_crossed_equilibriam = 0\n",
        "        for _ in range(iterations):\n",
        "            x0 = np.random.uniform(-10,10)\n",
        "            v0 = np.random.uniform(-10,10)\n",
        "            spring_mass = Spring_Mass(x0, v0, dt, k = k, m = m, damping = damping)\n",
        "\n",
        "            for _ in range(150):\n",
        "                spring_mass.update(method = 'RK4')\n",
        "                \n",
        "            if (sorted(spring_mass.xs)[-1] * sorted(spring_mass.xs)[0]) < 0:\n",
        "                n_crossed_equilibriam += 1\n",
        "        \n",
        "        prop_crossing_k[i,j] = n_crossed_equilibriam/iterations\n",
        "\n",
        "    "
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 494
        },
        "id": "-_bmejK6IOy1",
        "outputId": "b5360568-133a-499d-83b7-6204b9d55036"
      },
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
            "  FutureWarning\n",
            "/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
            "  FutureWarning\n",
            "/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
            "  FutureWarning\n",
            "/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
            "  FutureWarning\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x360 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.figure(figsize=(7,5))\n",
        "for i in range(len(k_s)):\n",
        "    sns.lineplot(dampings, prop_crossing_k[i], label = f'k = {k_s[i]}')\n",
        "    plt.ylabel('Proportion of Equilibrium Crossing')\n",
        "    plt.xlabel('Damping Coefficient, $\\\\beta$')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "L-QBGt7S3k54"
      },
      "source": [
        "We can assume that, at critical temperature most of the time the mass will never cross the equilibrium position. So we can define the critical damping $\\beta_{crit}$ as the value of $\\beta$ where the proportion of equilibrium crossing becomes less than 10% (i.e. < 0.1). \n",
        "\n",
        "We can also plot the ratio of the spring constant compared to the our first system $(k = 15)$ and the ratio of the critical damping with the critical damping for the first system."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        },
        "id": "CzGb_6DISqTI",
        "outputId": "7bd32a26-c3ef-4161-98f9-2933baef9392"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "index = np.argmax(prop_crossing_k < 0.1, axis=1)\n",
        "crit_damp_k = np.array(dampings[index])\n",
        "\n",
        "plt.plot(k_s/k_s[0], crit_damp_k/crit_damp_k[0], marker = 'o')\n",
        "plt.xlabel('Spring Constant Ratio')\n",
        "plt.ylabel('Critical Damping Ratio')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PKvBV3KV3iTq"
      },
      "source": [
        "We can see that when k becomes double, critical damping becomes around $1.4$ times or around $\\sqrt{2}$ times. Similarly, when k becomes 4 times, $\\beta_{crit}$ becomes 2 times.\n",
        "\n",
        "So most probably the proportional relationship is,\n",
        "$$\n",
        "\\beta_{crit} \\propto \\sqrt{k}\n",
        "$$\n",
        "or\n",
        "$$\n",
        "\\log \\beta_{crit} = 0.5 \\log k + C \n",
        "$$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 333
        },
        "id": "60aaLtaXYBO5",
        "outputId": "42ab711f-c6f5-4b42-affb-f5ea39411a9d"
      },
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
            "  FutureWarning\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "sns.regplot(np.log(k_s), np.log(crit_damp_k))\n",
        "plt.xlabel('log(Spring Constant)')\n",
        "plt.ylabel('log(Critical Damping)')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "zBk6A9wRYZcM",
        "outputId": "a7d0ecc6-46fa-4844-ddc3-ed85ec5881b0"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "array([0.50552067])"
            ]
          },
          "execution_count": 155,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "from sklearn.linear_model import LinearRegression\n",
        "reg = LinearRegression()\n",
        "reg.fit(np.log(k_s).reshape(-1,1), np.log(crit_damp_k))\n",
        "reg.coef_"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "e7q1k3eC3WEX"
      },
      "source": [
        "## Varying mass, m"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "nWPfV2l3Jt9_"
      },
      "outputs": [],
      "source": [
        "dt = 0.01\n",
        "m_s = np.array([0.25,0.5,0.75,1])\n",
        "k = 15\n",
        "\n",
        "dampings = np.linspace(2,9,15)\n",
        "iterations = 50\n",
        "prop_crossing_m = np.zeros((len(m_s), len(dampings)))\n",
        "\n",
        "for i in range(len(m_s)):\n",
        "    m = m_s[i]\n",
        "\n",
        "    for j in range(len(dampings)):\n",
        "        damping = dampings[j]\n",
        "        n_crossed_equilibriam = 0\n",
        "        for _ in range(iterations):\n",
        "            x0 = np.random.uniform(-20,20)\n",
        "            v0 = np.random.uniform(-20,20)\n",
        "            spring_mass = Spring_Mass(x0, v0, dt, k = k, m = m, damping = damping)\n",
        "\n",
        "            for _ in range(200):\n",
        "                spring_mass.update(method = 'RK4')\n",
        "                \n",
        "            if (sorted(spring_mass.xs)[-1] * sorted(spring_mass.xs)[0]) < 0:\n",
        "                n_crossed_equilibriam += 1\n",
        "        \n",
        "        prop_crossing_m[i,j] = n_crossed_equilibriam/iterations\n",
        "\n",
        "    "
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 494
        },
        "id": "CjQFxmFMJ5Iz",
        "outputId": "b36e9641-c0f6-47b0-ed90-3b3d1f559fc0"
      },
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
            "  FutureWarning\n",
            "/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
            "  FutureWarning\n",
            "/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
            "  FutureWarning\n",
            "/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
            "  FutureWarning\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x360 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.figure(figsize=(7,5))\n",
        "for i in range(len(m_s)):\n",
        "    sns.lineplot(dampings, prop_crossing_m[i], label = f'm = {m_s[i]}')\n",
        "    plt.ylabel('Proportion of Equilibrium Crossing')\n",
        "    plt.xlabel('Damping Coefficient, $\\\\beta$')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yWvkYbx16LUM"
      },
      "source": [
        "Let's plot the ratio of the mass compared to the our first system $(m = 0.25)$ and the ratio of the critical damping with the critical damping for the first system.\n",
        "\n",
        "The critical damping is defined again at the point where less than 10% of the time, the mass crosses the equilibrium."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        },
        "id": "rVwmCMQmKeyg",
        "outputId": "cb140dc3-8fa6-48dc-a1bb-a1cda1652f5c"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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6kcTR0RHt27dXOwQAYPXq1SrXeeWVV/DKK6+o/ZpE1FhlrRSfn83Ft5fvQSwS4c/9fDCtlzdsLHlpaFKf0iDIzc3Fa6+91vB1Xl5eo683b96s2cqISCmpXIFdvxTgX2fuorJWhuhQd7za3xduPAuYmkFpEGzcuLHR17NmzdJ4MUTUNEEQcOz2A6w/nonc8lr09nHCvAh/BLrZ6bo0MmBKg6B3797arIOIVEgvqMTa5ExcvlcJP2cbrB0fiv6+rSHiLSLpGak8j4CIdCu/ohYbTmTh8M0StLGxwJLIDhgT6gFzDoKphTAIiPSUpFaGf5/LwTep92AmEmFWXx/MCPOCbRNnBBM1B7+jiPSMTK7A978UYMt/B8GjOrnj9QG+vBw0aYzKIPjtkUK/sre3R2hoKCZPntxwiCkRPRtBEJB8+wE+O5GFnLKH6OXjhPnh/ghy5yCYNEtlEHh5eaGsrAxRUVEAgB9//BG2trbIzs7Gu+++i08//VTjRRIZu2uFEqxNzkRqXgX82thgzbhOGODXhoNg0gqVQZCamorvv/++4eshQ4ZgwoQJ+P777xvCgYiap7CyFhtOZuM/14vRupUFFg99DjGd23IQTFqlMghqamqQn5/fcN+A/Px81NQ8uvqdhYWFZqsjMlJVdTJ8kZKLnRfzIBKJMLOPN2aEecPOimM70j6V33WLFy/GH/7wB3h7ewN4dIbxe++9h5qaGrXuH0BE/yOTK7DnaiG2nL6LsodSjOrohtcH+MLDwVrXpZEJUxkEEREROHz4MDIzMwEAfn5+DQNiXi2USD2CIOBEZik+O56J7NKH6OHliITn/RHirvwa8UTaotb70LS0NNy7dw9yuRw3btwAAL4bIFLTjSIJEpIzcSG3Aj6tW2FVTCeEB3AQTPpDZRAsXLgQubm5CA4Ohlj86IqGIpGIQUCkQmFlLTadysaP14rh1MoCC4c8h/FdPGAuNtN1aUSNqAyCtLQ0/Pjjj/zrhUhN1fUybEvJxdcX70EQBMwI88bMPhwEk/5S+Z3ZoUMHlJSUwM3NTRv1EBksmULA1yk5SDiSgdIaKYYHu2LOQD94OnIQTPpNZRD8ejJZly5dGh0uyvsRED0iCAJOZ5Uh4Xgmsh7UoHs7B6weF4pOHhwEk2FQGQSxsbHaqIPIIN0srkJCcibO55TDp3UrbJzSHb3a2vGjVDIoKoOA9yUgelyxpA6bTmXjh/QiOFib483BAZjQtS1cne1QXl6j6/KInorSIJgyZQp27tyJ7t27N/rrRhAEiEQiXLp0SSsFEumTmno5tp/PxVcX8qAQBEzt5YVZfXxgb81BMBkupd+9O3fuBPDoWkNEpk6uELA/rRCbT2WjtEaKyCBX/GWQL9o5ttJ1aUTPTK0/Y9LT03Hx4kWIRCL07NkTHTt21HRdRHrjdFYp1h3PxJ37Neji6YBVMZ3Q2dNB12URtRiVQbB+/XocOnQIkZGRAB5de2jEiBGYM2eOxosj0qWMkiqsS87C2btl8HKyxsfRIRjcwYWDYDI6KoPgwIED2L9/f8P1hWbPno2YmBgGARmtkqo6/OPUXRxIL4SdlTn++rw/JnXzhAXPCCYjpTII3NzcUFdX1xAE9fX1cHd313hhRNr2UCrHV+fzsP18LmQKAZN7tMOsPj5wbMXLrZNxUxkE9vb2iIqKwoABAyASiXDq1Cl06dIFy5cvBwC8++67Gi+SSJPkCgE/pBdh06ls3K+uxwuBLnhjkB+8nDgIJtOgMggiIyMb5gMAzysg43Iu+9EZwRkl1ejc1h4fRYegaztHXZdFpFUqg2DcuHHaqINIq27fr8a65EycyS6Dp6M14keHYGggB8FkmlQGwbFjx5CQkID8/HzIZDKeUEYG7X51Pf5xKhv70wpha2mOeRH+eLGbJyzNOQgm06UyCOLj4/HZZ58hKCiIfy2RwaqVyvHVhUeD4Hq5gBe7t8PLfX3gxEEwkeog8PDwQGBgIEOADJJC+N8guKSqHoM7PBoE+7TmIJjoV2rdoezPf/4zevfuDUtLy4bHZ86cqdHCiJ7V+ZwyrE3KxK2SanT0sMeKqBB09+IgmOj3VAbB2rVrYWNjg7q6OkilUm3URPRMsh7UYN3xTJzMLEVbByssHxWMyGBXmPFdLdETqQyC4uJiJCYmaqMWomfyoLoeW87cxd4rBbC2ECN2kB9e6tEOVhwEEzVJZRCEh4fj5MmTGDhwoDbqIXpqtVI5dl66h20puaiVKTChqyf+3K89nGw4CCZSh8og2LlzJz7//HNYWlrC3Nych4+S3lAIAv5zvRgbTmShuKoeEQHOeCPcD75tbHRdGpFBURkEzb0fwZIlS5CUlARnZ+cmP1q6cuUKJk+ejNWrV2PEiBHN2haZnou55ViblIkbxVUIcbfDB6OC0dPbSddlERkkte5HUFFRgbt376Kurq7hsbCwsCafM378eEybNg2LFi1Suo5cLseqVaswYMAANcslU5f930HwicxSuNtb4YNRQRge7MZBMNEzUBkE3333HbZv347CwkIEBwfjl19+Qbdu3bB9+/YmnxcWFoa8vLwm1/nyyy8xfPhwXL169emqJpNTVlOPf56+iz3/HQTPGeiLKT3awdpCrOvSiAyeysMptm/fjl27dsHT0xNffvkl9uzZAweHZ787U1FREX7++WdMmTLlmV+LjFedTIFtKbkY96/z2HOlAOO6tMXul8Mws48PQ4Cohah8R2BpadnoXgQBAQHIysp65g2vWLECCxYsgJnZ0x3aJxaL4OTUvGGgWGzW7OfqG2PvRaEQkHi1AH//6RbyK2oxJMgVC4cF4Tk3Ox1VqR5j2S/G0gfAXtSh1iUmKisrMXToUMycORMODg7w9PR85g2npaUhLi4OAFBWVobk5GSYm5tj6NChTT5PLhdQXl7TrG06Odk0+7n6xph7uZRXjoTkLFwrlCDIzQ4bJ3VGmE9rAND7no1lvxhLHwB7+ZWrq73SZSqDYMOGDQCA2NhY9OnTBxKJBIMGDWpWIb919OjRhn8vXrwYzz//vMoQIONy8HoRNp7IRpGkDu72Vnixuyeu5Fci6fYDuNlZYtmIIIzsyEEwkaapDIKbN28iMzMTABAQEKD2jWni4uKQkpKCsrIyhIeHIzY2FjKZDAA4FyAcvF6E+MMZqJUpAACFkjqsO54FCzMRXh/giz/05CCYSFuUBoFEIsGcOXOQn5+P4OBgCIKAW7duoW3btti0aRPs7Jr+rHb16tVqF/HRRx+pXzEZhY0nshtC4Lda21hgVl8fHVREZLqUBkFCQgJCQ0Oxbdu2hoGuQqHAqlWrsGbNGixdulRrRZLxKZLUPfHxkqp6LVdCREqD4PTp09i/f3+jo3rMzMwQFxeH6OhorRRHxulBdT3MzUSQKoTHlrnbW+mgIiLTpvTYTQsLC5ibP54T5ubmje5LQPQ0Mkqq8KcdqVAIAizEjYfA1uZmmDPIVzeFEZkwpe8I6urqcO3aNQhC47/aBEFAfT3fvtPTS779AEt/vA47K3P8e2p3ZJfWNDpqaM4gX4wMcdd1mUQmR2kQuLq6YuXKlU9c5uLiorGCyPgIgoAvz+dh/YksBLvb4e9jO8HVzgoh7vYYGeJuVMd5ExkipUHw5ZdfarMOMlL1MgXif87AD+lFGBroivdGBPKwUCI9o9bVR4mao7SmHm/tu4Zf8isxu197vNLPByKeHEakdxgEpBG3S6oRtzcNpTVSxI8OQWSQq65LIiIlGATU4k7ceYB3f7gBG0sx/vFSV3TyUH6NEyLSPaVBkJ6e3uQTO3Xq1OLFkGETBAE7Lt7DuuRMBLk9Ggq78bwAIr2nNAiauuyDSCRSeWMaMi1SuQIrf8rAgfQivBDogmUjgjgUJjIQPGqInll5jRRv7U9H6r1KvNzXB7P7t+cVQ4kMiFozglu3buH27duNTiQbO3asxooiw3HnfjXi9qbjflUdlo8KxvAQN12XRERPSWUQrF+/HufOncOdO3cQERGB48ePo2fPngwCwqnMUrzzw3VYWzwaCoe2ffZbmBKR9qm8T+ShQ4ewbds2uLi4YOXKldi3bx8kEok2aiM9JQgCvr6Yh7i9aWjnaI0v/tCNIUBkwFS+I7CysoKZmRnMzc1RVVUFZ2dnFBQUaKM20kNSuQIfH7mNfVcLMbiDC94fGYRWHAoTGTSVQRAaGorKykpMmjQJ48ePh42NDbp3766N2kjPlD+UYtH+a7iUV4FZfbzx6gBfDoWJjIBI+P3lRZuQl5eHqqoqBAcHa7KmJkmlct68HtrvJetBDeL2pqFYUod3hwe26FVCuV/0j7H0AbCXXzV183qVM4KffvqpYSbg5eUFT09P/Pzzz80qhAzT6axSzPw6FTX1cmx+sSsvFU1kZFQGwfr162Fv/78kcXBwwPr16zVaFOkHQRDwzaV7+OueNHg6WmPb1O7o7MmhMJGxUTkjUCgev8G4XC7XSDGkP2RyBT45eht7rhQiIsAZH4wKho0lh8JExkitYfHKlSsxdepUAMCOHTt4nSEjV/FQisUHruFCbgX+2NsbcwZyKExkzFR+NLR06VJYWFhg/vz5mD9/PiwtLfG3v/1NG7WRDmQ/qMHMr1PxS34l3h8ZhDcG+TEEiIycyncENjY2WLBggTZqIR07l12GxYnXYGFmhk2TuqBrO0ddl0REWqA0CFasWIF33nkHr7322hOXb968WWNFkfZ9m5qP1cduw8/ZFqvHdUJbB2tdl0REWqI0CGJiYgAAs2bN0loxpH0yuQKrjt3B978UYJB/G3wYFQxbS96viMiUKP2JDw0NBQBcv34df/zjHxst27ZtG3r37q3ZykjjKmulWHzgOs7nlGNGmBfmDPSD2IzzACJTo3JYvHfv3sce27Nnj0aKIe25W1qDmV9fRmpeBf42PBCx4f4MASITpfQdQWJiIhITE5GXl9doTlBdXQ1HRw4RDVnK3TIsPnAdYjMRNk3qgm5e3J9EpkxpEHTv3h2urq4oKytrNCewtbVFUFCQVoqjlrfrcj5WHb0NX2cb/H1sJ7RzbKXrkohIx5QGQbt27dCuXTv83//9nzbrIQ2RKQSsOXYH317Ox0D/NvhwVDDsrDgUJqImgmDKlCnYuXMnunfvDtFvTigSBAEikQiXLl3SSoH07CS1MrydeB1n75Zhak8vxIZzKExE/6M0CHbu3AkASE1N1Vox1PJyyh4ibk8a7lXUYumwQIzp7KHrkohIzzR51JBcLseIESO0VQu1sAs55Zj5dSrKH0qxYVJnhgARPVGTQSAWi+Hn54f8/Hxt1UMtZPcv+Xjj+6twtrXEF1O7o4eXk65LIiI9pXJaWFlZiaioKHTp0gWtWv3vCBNeYkI/yRQCEpIz8c2le+jv1xorokI4FCaiJqn8DTFv3jxt1EEtoKpOhiWJ13E2uwx/6NkOc3mSGBGpQWkQ3L17F/fv33/sUhIXLlyAm5ubyhdesmQJkpKS4OzsjMTExMeW79+/H1u2bAHw6NyEZcuW6fReyIYur/wh4vakI6f8Id6O7IBxXdrquiQiMhBKZwTx8fGws7N77HF7e3vEx8erfOHx48dj69atSpd7eXnhq6++woEDB/D6669j6dKlapZMv3cxtxx/2pGK0pp6bJjYmSFARE9F6TuC+/fvP/EM4qCgINy7d0/lC4eFhSEvL0/p8h49ejT8u1u3bigsLFT5mvS4vVcK8NGR2/B2ssbqsaHwbs0zhYno6SgNAolEovRJtbW1LVrErl27EB4erta6YrEITk42zdqOWGzW7OfqHZEIG8/cxb9P38Wg51yw9sWucGhloeuqmsWY9oux9GIsfQDsRR1NXob622+/xYsvvtjo8e+++65F71l89uxZ7Nq1C19//bVa68vlAsrLa5q1LScnm2Y/V59U1cmw7HAGkm+V4KXunpj/fAAUdVKU10l1XVqzGMt+AYynF2PpA2Avv3J1tVe6TGkQvP3223jjjTdw4MCBhl/8aWlpkEqlWL9+fbMK+b0bN27g3XffxZYtW9C6desWeU1jl1f+EHF705Fb9hBLhj6H8V09dV0SERk4pUHg4uKCb775BmfPnkVGRgYAICIiAv369WuRDefn5yM2NhaffPIJ/Pz8WuQ1jYKxr5cAAA7kSURBVF1qXgXe2n8NCkHA53/shZA2nAcQ0bNTeR5B37590bdv36d+4bi4OKSkpKCsrAzh4eGIjY2FTCYD8OiCdhs2bEB5eTnef/99AI/OYt69e/dTb8dU7L9aiJU/Z8DT0RprxoWii5+z0bzdJSLdEgmCIOi6iKchlcpNakYgVwhYfyILX13IQ28fJ6yMDoGDtYVB9qIMe9E/xtIHwF5+1awZAeleVZ0MS3+8gZOZpZjUzRNxgwNgzjOFiaiFMQj0VH5FLeL2piH7QQ3eeuE5TOrGoTARaQaDQA9d/u9QWKYQkDChM/q05xFVRKQ5DAI9k5heiPifMtDWwRp/H9sJvm2M40QYItJfDAI9IVcI2HgyC9vP5yHMxwkrR4fA0UDPFCYiw8Ig0APV9TL87cebOH7nASZ0bYsFgwNgLm7ynkFERC2GQaBjBZW1eHNvOu7cr8bCIQGY1M0TIhGPDCIi7WEQ6NCV/Eos3JeOerkCCeND0de3ja5LIiITxCDQkR+vFWH54Vtwt7fCP8Z2ha8zh8JEpBsMAi1TCAI2nczGFym56OntiI+iO8KJQ2Ei0iEGgRbV1Mvx3sEbSLr9AGM7e2DRC89xKExEOscg0JLCylrE/XcoHDc4AJO7cyhMRPqBQaAFV/MrsWBfOupkCqwZF4r+fhwKE5H+YBBo2H+uF+PDQzfhameFTS92gb+zra5LIiJqhEGgIQpBwD9OZePzc7no4eWIj6M7wsmGQ2Ei0j8MAg14KJXjvYM3cSzjPmJCPbBo6HOw4FCYiPQUg6CFFUnq8ObedGSUVOGvz/tjSo92HAoTkV5jELSg9IJKvLnvGmqlcvx9bCcM9HfWdUlERCoxCFrI4RvF+ODQLTjbWmLDxM4IcOFQmIgMA4PgGSkEAVtO38XWszno3s4BH4/piNY2lroui4hIbQyCZ1ArleP9/9zEz7fuI7qTOxYP7QBLcw6FiciwMAiaqVhShwX70nGjqApzw/0wrZcXh8JEZJAYBM1wrVCCN/emo6b+0VB4UACHwkRkuBgET+mnmyV4/z830cbGAv+a0g3PuXIoTESGjUGgJkEQsPVMDv555i66eDrg05iOaMOhMBEZAQaBGmqlcnxw6BZ+ulmCqI5ueDsykENhIjIaDAIVSqrqsGDfNVwvlCB2kB+mh3EoTETGhUHQhBtFj4bCkjoZPo3piIjnXHRdEhFRi2MQKHH0Vgn+dvAmWreywNbJ3RDoZqfrkoiINIJB8DuCIODzcznYfOouOrd9NBR2tuVQmIiMF4PgN2qlciw/fAuHbpRgZIgb3hkWCCsOhYnIyDEI/ut+dT0W7ktHWoEEcwb64k+9vTkUJiKTwCAAcLOoCnF701BZK8MnYzpicAcOhYnIdJh8EBzLuI+//XgDDtbm2Dq5G4LcORQmItNiskEgCAK+SMnFxpPZCG1rj09jOsGFQ2EiMkEmGQR1MgWWH76F/1wvxvBgV7w7LBDWFmJdl0VEpBMaC4IlS5YgKSkJzs7OSExMfGy5IAhYsWIFkpOTYW1tjY8++gidOnXSSC0Hrxdh44lsFEnq4GpnCUuxCHkVdXh9gC9m9uFQmIhMm8aOjRw/fjy2bt2qdPnx48eRnZ2Nw4cP48MPP8SyZcs0UsfB60WIP5yBQkkdBADFVfXIq6jDS909MauvD0OAiEyexoIgLCwMjo6OSpcfOXIEY8eOhUgkQrdu3VBZWYni4uIWr2PjiWzUyhSPPZ58+0GLb4uIyBDpbEZQVFQEDw+Phq89PDxQVFQENze3Jp8nFovg5GSj/nYkdUoff5rX0TdisZlB1/9b7EX/GEsfAHtRh8ENi+VyAeXlNWqv725vhcInhIG7vdVTvY6+cXKyMej6f4u96B9j6QNgL79ydbVXukxn109wd3dHYWFhw9eFhYVwd3dv8e3MGeQL699dJsLa3AxzBvm2+LaIiAyRzoJgyJAh2Lt3LwRBwOXLl2Fvb6/yY6HmGBnijreHdYCHvRVEADzsrfD2sA4YGdLyoUNEZIg09tFQXFwcUlJSUFZWhvDwcMTGxkImkwEApkyZgoiICCQnJyMyMhKtWrVCfHy8pkrByBB3jAxxN6q3iERELUUkCIKg6yKehlQqb/Yvc2MKAvain4ylF2PpA2Avv9LLGQEREekHBgERkYljEBARmTgGARGRiTO4YTEREbUsviMgIjJxDAIiIhPHICAiMnEMAiIiE8cgICIycQwCIiITxyAgIjJxRhkES5YsQb9+/TB69OgnLhcEAcuXL0dkZCSio6ORnp6u5QrVo6qPc+fOoWfPnoiJiUFMTAzWr1+v5QrVV1BQgOnTp2PUqFGIiorCtm3bHlvHEPaLOn0Yyn6pq6vDxIkTMWbMGERFRWHdunWPrVNfX4/58+cjMjISkyZNQl5eng4qVU2dXnbv3o2+ffs27JfvvvtOB5WqRy6XY+zYsXj11VcfW6aRfSIYoZSUFCEtLU2Iiop64vKkpCTh5ZdfFhQKhZCamipMnDhRyxWqR1UfZ8+eFWbPnq3lqpqnqKhISEtLEwRBECQSiTBs2DAhIyOj0TqGsF/U6cNQ9otCoRCqqqoEQRCE+vp6YeLEiUJqamqjdb766ith6dKlgiAIQmJiojBv3jyt16kOdXr5/vvvhffff18X5T21zz//XIiLi3vi95Em9olRviMICwuDo6Oj0uVHjhzB2LFjIRKJ0K1bN1RWVqK4uFiLFapHVR+GxM3NDZ06dQIA2NnZwd/fH0VFRY3WMYT9ok4fhkIkEsHW1hYAIJPJIJPJIBKJGq1z9OhRjBs3DgAwfPhwnDlzBoIeXoxAnV4MRWFhIZKSkjBx4sQnLtfEPjHKIFClqKgIHh4eDV97eHgY7A/z5cuXMWbMGLzyyivIyMjQdTlqycvLw/Xr19G1a9dGjxvaflHWB2A4+0UulyMmJgb9+/dH//79n7hP2rZtCwAwNzeHvb09ysrKdFGqSqp6AYDDhw8jOjoac+fORUFBgQ6qVC0+Ph4LFy6EmdmTfz1rYp+YZBAYi06dOuHo0aPYv38/pk+fjr/85S+6Lkml6upqzJ07F2+//Tbs7Ox0XU6zNdWHIe0XsViMffv2ITk5GVeuXMGtW7d0XVKzqepl8ODBOHr0KA4cOID+/ftj0aJFOqpUuWPHjqFNmzYIDQ3V6nZNMgjc3d1RWFjY8HVhYSHc3Q3vHsZ2dnYNb4cjIiIgk8lQWlqq46qUk0qlmDt3LqKjozFs2LDHlhvKflHVh6HtFwBwcHBAnz59cOLEiUaPu7u7N/zlLJPJIJFI0Lp1a12UqDZlvbRu3RqWlpYAgEmTJunlwQiXLl3C0aNHMWTIEMTFxeHs2bNYsGBBo3U0sU9MMgiGDBmCvXv3QhAEXL58Gfb29nBzc9N1WU+tpKSk4bPBK1euQKFQ6O0PqSAIeOedd+Dv74+ZM2c+cR1D2C/q9GEo+6W0tBSVlZUAgNraWpw+fRr+/v6N1hkyZAj27NkDADh06BD69u2rl5+9q9PLb+dNR48eRUBAgFZrVMebb76J48eP4+jRo1i9ejX69u2LVatWNVpHE/tEYzev16W4uDikpKSgrKwM4eHhiI2NhUwmAwBMmTIFERERSE5ORmRkJFq1aoX4+HgdV/xkqvo4dOgQdu7cCbFYDGtra6xevVovf0gB4OLFi9i3bx8CAwMRExMD4FF/+fn5AAxnv6jTh6Hsl+LiYixevBhyuRyCIGDEiBEYPHgwEhISEBoaihdeeAETJ07EwoULERkZCUdHR6xZs0bXZT+ROr18+eWXOHr0KMRiMRwdHbFy5Updl602Te8T3o+AiMjEmeRHQ0RE9D8MAiIiE8cgICIycQwCIiITxyAgIjJxDAIyGUFBQY1OzpHJZOjbt+8Tr/CoTefOncOlS5cavt65cyf27t2rw4rI1BjleQRET2JjY4OMjAzU1tbC2toap06d0tqZyzKZDObmT/5xS0lJgY2NDXr06AHg0bkIRNrEICCTEhERgaSkJIwYMQI//PADoqKicPHiRQCPzgJesWIF6urqYG1tjfj4ePj7+yMjIwNLliyBVCqFQqHAZ599Bjc3N8yfPx+FhYVQKBSYM2cORo0a1Whb06dPR3BwMC5evIjRo0fD19cXmzZtglQqhZOTE1atWoXa2lp88803MDMzw/79+7F06VKcOXMGNjY2ePnll3H9+nW89957ePjwIXx8fBAfH280V6Ql/cEgIJMyatQobNy4EYMHD8bNmzcxYcKEhiDw9/fHjh07YG5ujtOnT2PNmjX47LPP8M0332DGjBkYM2YM6uvroVAokJycDDc3N/zzn/8EAEgkkiduTyqVYvfu3QCAiooKfPvttxCJRPjuu++wdetWLF68GJMnT274xQ8AZ86caXj+W2+9haVLl6J3795ISEjA+vXr8c4772jyv4hMEIOATEpwcDDy8vKQmJiIiIiIRsskEgkWLVqEu3fvQiQSQSqVAgC6deuGzZs3o7CwEMOGDYOvry8CAwPx8ccf49NPP8XgwYPRq1evJ27vt+8SCgsL8de//hUlJSWor6+Hl5dXk7VKJBJIJBL07t0bADBu3DjMmzfvWdoneiIOi8nkDBkyBJ988gmioqIaPZ6QkIA+ffogMTERmzZtQn19PQAgOjoamzZtgrW1NWbPno0zZ87Az88Pu3fvRmBgINauXav0dpStWrVq+Pfy5csxdepUHDhwAB988EHD6xPpGt8RkMmZOHEiHBwcEBQUhHPnzjU8LpFIGobHv17dEQByc3Ph7e2NGTNmoKCgADdv3oS/vz+cnJwQExMDBwcHte5/+9vX/+1RQba2tqiqqnpsfXt7ezg4OODChQvo1asX9u3bh7CwsGb3TaQMg4BMjoeHB2bMmPHY46+88goWL16MTZs2NfrY6ODBg9i3bx/Mzc3h4uKCV199FVevXsUnn3wCMzMzmJubY9myZSq3+8Ybb2DevHlwdHREnz59Gm46PnjwYMydOxdHjhzB0qVLGz3n448/bhgWe3t7G9QVM8lw8OqjREQmjjMCIiITxyAgIjJxDAIiIhPHICAiMnEMAiIiE8cgICIycQwCIiIT9/+NZMshuFxuEgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "index = np.argmax(prop_crossing_m < 0.1, axis=1)\n",
        "crit_damp_m = np.array(dampings[index])\n",
        "\n",
        "plt.plot(m_s/m_s[0], crit_damp_m/crit_damp_m[0], marker = 'o')\n",
        "plt.xlabel('Mass ratio')\n",
        "plt.ylabel('Critical Damping Ratio')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "F8BALcew5bns"
      },
      "source": [
        "We can see that when m becomes double, critical damping becomes around $1.4$ times or around $\\sqrt{2}$ times. Similarly, when m becomes 4 times, $\\beta_{crit}$ becomes approximately 2 times.\n",
        "\n",
        "So most probably the proportional relationship is,\n",
        "$$\n",
        "\\beta_{crit} \\propto \\sqrt{m}\n",
        "$$\n",
        "or\n",
        "$$\n",
        "\\log \\beta_{crit} = 0.5 \\log m + C \n",
        "$$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 333
        },
        "id": "u9xIVulVW0S7",
        "outputId": "3c47b6a7-f33b-48ec-c861-3471b6e18c9a"
      },
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
            "  FutureWarning\n"
          ]
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "sns.regplot(np.log(m_s), np.log(crit_damp_m))\n",
        "plt.xlabel('log(Mass)')\n",
        "plt.ylabel('log(Critical Damping)')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "aLr4rnIMXgV4",
        "outputId": "afeab90c-d63e-4902-c0ce-dd8c8f8dd37b"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "array([0.44950851])"
            ]
          },
          "execution_count": 157,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "from sklearn.linear_model import LinearRegression\n",
        "reg = LinearRegression()\n",
        "reg.fit(np.log(m_s).reshape(-1,1), np.log(crit_damp_m))\n",
        "reg.coef_"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "2N-t2ku-aB-2"
      },
      "source": [
        "## 3.3 Theoretical Analysis"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dIL95lpyrBrk"
      },
      "source": [
        "Considering the damping, our equation of motion become:\n",
        "\\begin{align*}\n",
        "    F_{spring} &= -kx\\\\\n",
        "    F_{damping} &= -\\beta v\\\\\n",
        "    F_{total} &= F_{damping} + F_{spring}\\\\\n",
        "    ma &= - \\beta v -kx \\\\\n",
        "    m\\ddot{x} &= -\\beta \\dot{x} - kx\\\\\n",
        "    m\\ddot{x} +\\beta \\dot{x} + kx &= 0\n",
        "\\end{align*}\n",
        "\n",
        "Using a differential equation solver (I used symbolab), the general solution can be written as,\n",
        "$$\n",
        "x(t) = c_1 e^{\\lambda_1 t} + c_2 e^{\\lambda_2 t}\n",
        "$$\n",
        "where,\n",
        "$$\n",
        "\\lambda_{1,2} = \\frac{-\\beta\\pm \\sqrt{\\beta^2 - 4mk}}{2m}\n",
        "$$\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "taiZynrvuutz"
      },
      "source": [
        "When the term $\\sqrt{\\beta^2 - 4mk}$ becomes imaginary (i.e. $\\beta^2 < 4mk$), $\\lambda_{1,2}$ become two complex conjugates and using Euler's formula we can represent the $x(t)$ as an oscillation function. This is when the underdamping happens and the system keeps oscillating before finally coming into rest.\n",
        "\n",
        "When the term $\\sqrt{\\beta^2 - 4mk}$ becomes real (i.e. $\\beta^2 > 4mk$), $\\lambda_{1,2}$ become two distinct real numbers. The largest value possible for $\\sqrt{\\beta^2 - 4mk}$ is $\\beta$ and we have another $-\\beta$ term in the numerator of $\\lambda_{1,2}$. So $x(t)$ becomes a decay function and the system comes to rest without any oscillaton. This is the overdamped situation.\n",
        "\n",
        "\n",
        "So, the critical damping happens when\n",
        "\\begin{align*}\n",
        "    \\sqrt{\\beta^2 - 4mk} &= 0\\\\ \n",
        "    \\Rightarrow \\beta^2 &= 4mk\\\\\n",
        "    \\Rightarrow \\beta &= \\sqrt{4mk}\n",
        "\\end{align*}\n",
        "This is the first time when the system starts to come to rest without any oscilltion. \n",
        "\n",
        "Thus, from theory we can say that,\n",
        "$$\n",
        "\\beta_{crit} \\propto \\sqrt{k}\n",
        "$$\n",
        "and \n",
        "$$\n",
        "\\beta_{crit} \\propto \\sqrt{m}\n",
        "$$"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "N_ceafLA935X"
      },
      "source": [
        "For **3.1**, we have k = 30, m = 0.25.\n",
        "\\begin{align*}\n",
        "    \\beta_{crit} &= \\sqrt{4mk}\\\\\n",
        "    &= \\sqrt{4\\cdot 0.25\\cdot 30}\\\\\n",
        "    &= 5.48 \n",
        "\\end{align*}\n",
        "\n",
        "Our empirical value was around 5.5 (between 5 to 5.5), which is pretty close to the theoretical value."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        },
        "id": "ieW19RSCaHOH",
        "outputId": "17639e71-3775-4708-f963-03702b8cb0ef"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.plot(k_s/k_s[0], crit_damp_k/crit_damp_k[0], marker = 'o')\n",
        "plt.plot(k_s/k_s[0], (k_s/k_s[0])**0.5, \":\", marker = 'o', label = 'Theoretical')\n",
        "plt.xlabel('Spring Constant Ratio')\n",
        "plt.ylabel('Critical Damping Ratio')\n",
        "plt.legend()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        },
        "id": "yDT-bxWuaBnY",
        "outputId": "2cbfdc92-ceda-4aa7-d83e-ed5164cfd1e7"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.plot(m_s/m_s[0], crit_damp_m/crit_damp_m[0], marker = 'o')\n",
        "plt.plot(m_s/m_s[0], (m_s/m_s[0])**0.5, \":\", marker = 'o', label = 'Theoretical')\n",
        "plt.xlabel('Mass ratio')\n",
        "plt.ylabel('Critical Damping Ratio')\n",
        "plt.legend()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "U9gwNlqw5krg"
      },
      "source": [
        "We can say that the empirical analysis agrees with the theoretical analysis most of the time. \n",
        "\n",
        "Only for higher mass, the empirical value for $\\beta_{crit}$ is a little bit lower than the theoretical values. One possible reason could be that when the system is near the critical damping, the force become very small when it is close to equilibrium. So for a higher mass, it takes a lot of time to cross the equilibrium and again come back. So maybe during the amount of time that we run the empirical model, the system which was near critical value was very close to the equilibrium but did not cross the equilibrium yet. And as it didn't cross the equilibrium, according to our chosen metric, maybe we considered it as a critical system. This is why our empirical $\\beta_{crit}$ is a bit lower for higher mass system."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "phGsepPq8VsV"
      },
      "outputs": [],
      "source": []
    }
  ],
  "metadata": {
    "colab": {
      "name": "Assignment_Part_3:_Spring-Mass_System",
      "provenance": []
    },
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