{ "cells": [ { "cell_type": "markdown", "id": "892310e9", "metadata": {}, "source": [ "## Physical damped and driven pendulum \n", "\n", "\n", "The driven damped pendulum is very rich system to study with chaotic behaviour. For a sufficiently weak driving force, the behavior of the driven damped pendulum is of course close to that of the driven damped linear oscillator, but on gradually increasing the driving force, at a certain strength the period of the response doubles, then, with further increase, it doubles again and again, at geometrically decreasing intervals, going to a chaotic (nonperiodic) response at a definite driving strength. This reminds us of the `Logistic map` we studied earlier, and indeed `r` in logistic map has a similar role as the driving force of the pendulum.\n", "\n", "\n", "Physical driven pendulum with damping has the equations\n", "\n", "$$m l^2 \\frac{d^2\\theta}{dt^2}=-{m g l}\\sin\\theta - b \\frac{d\\theta}{dt} + a\\cos(\\Omega t)$$\n", "\n", "see Wikipedia Pendulum.\n", "\n", "Here ${m g l}\\sin\\theta$ is the force of gravity, $b \\frac{d\\theta}{dt}$ is damping, and $a\\sin(\\Omega t)$ is the external force, which is periodic with some frequency $\\Omega$. Note that damping here is linear in velocity, as opposed to quadratic in projectile motion, because motion is much slower, where the linear term usually dominates over the quadratic. At high speeds, the quadratic drag dominates and linear is usually neglected.\n", "\n", "\n", "This equation can be recast into:\n", "$$\\frac{d^2\\theta}{dt^2}=-\\omega^2\\sin\\theta - B \\frac{d\\theta}{dt} + A\\omega^2\\cos(\\Omega t)$$\n", "where\n", "$\\omega=\\sqrt{\\frac{g}{l}}$, $B=\\frac{b}{m l^2}$ and $A=\\frac{a}{mgl}$\n", "\n", "For sufficiently strong driving force A the pendulum is chaotic. We will choose the values that were used by Talyor, namely, $\\omega=1.5$, $\\Omega=1$, $B=0.75$, and changing $A$ from 0.9 to 1.5. At $A\\approx 1.0829$ the system first becomes chaotic. Than at $A=1.35$ it has a single period, at $A=1.44$ a double period, and at $A=1.465$ has period 4, and around $1.5$ is again chaotic.\n", "\n", "For more information, see the lecture by Michael Fowler" ] }, { "cell_type": "code", "execution_count": 1, "id": "45eb1efe", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from math import *\n", "\n", "def D_driven(t, y, w2=1, B=0.75, A=0, Om=1):\n", " \"\"\"Driven pendulum EOM\n", " d/dt[theta,dtheta/dt] = [dtheta/dt, -w2*sin(theta)-B*dtheta/dt+A*w2*cos(Om*t)]\n", " \"\"\"\n", " return np.array([y[1],-w2*sin(y[0])-B*y[1]+A*w2*cos(Om*t)])" ] }, { "cell_type": "code", "execution_count": 2, "id": "e141c0db", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " message: 'The solver successfully reached the end of the integration interval.'\n", " nfev: 98192\n", " njev: 0\n", " nlu: 0\n", " sol: None\n", " status: 0\n", " success: True\n", " t: array([0.00000000e+00, 1.00000000e-04, 1.10000000e-03, ...,\n", " 1.99981946e+03, 1.99996305e+03, 2.00000000e+03])\n", " t_events: None\n", " y: array([[0.00000000e+00, 1.12497187e-08, 1.36087529e-06, ...,\n", " 2.61906716e+00, 2.65250317e+00, 2.65488358e+00],\n", " [0.00000000e+00, 2.24991561e-04, 2.47397772e-03, ...,\n", " 3.65325286e-01, 9.92876484e-02, 2.94327008e-02]])\n", " y_events: None\n" ] } ], "source": [ "from scipy.integrate import solve_ivp\n", "\n", "tf=2000. # end time. We want it to be as long as possible\n", "A=1.0 # this driving force > 1.09 should be chaotic\n", "(w2,B,Om)=(1.5**2,0.75,1.) # Taylor's values\n", "sol1=solve_ivp(D_driven, [0,tf], [0,0], atol=1e-10, rtol=1e-6, args=(w2,B,A,Om))\n", "print(sol1)\n", "sol2=solve_ivp(D_driven, [0,tf], [1e-6,0], atol=1e-10, rtol=1e-6, args=(w2,B,A,Om))" ] }, { "cell_type": "code", "execution_count": 3, "id": "c848adee", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.plot(sol1.t, sol1.y[0])\n", "plt.plot(sol2.t, sol2.y[0])\n", "plt.xlim(1900,2000);" ] }, { "cell_type": "markdown", "id": "b1b6f2e3", "metadata": {}, "source": [ "It is instructive to plot the `Phase Space` trajectory: $\\dot{\\theta}(\\theta)$\n", "For Harmonic oscilator it is a circle. When the system has single fixed point, it becomes single curve. The double period would show two curves. Once the system is chaotic, it covers a 2D space volume." ] }, { "cell_type": "code", "execution_count": 4, "id": "fb34fcc7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N2 = int(len(sol1.y[0])/2)\n", "plt.plot((sol1.y[0,N2:]+pi)%(2*pi)-pi,sol1.y[1,N2:], '.')\n", "plt.plot((sol2.y[0,N2:]+pi)%(2*pi)-pi,sol2.y[1,N2:], '.');" ] }, { "cell_type": "markdown", "id": "bf15256c", "metadata": {}, "source": [ "This `Phase Space` is simple, similar to a simple harmonic oscilator." ] }, { "cell_type": "code", "execution_count": 5, "id": "9db9be9c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " message: 'The solver successfully reached the end of the integration interval.'\n", " nfev: 88250\n", " njev: 0\n", " nlu: 0\n", " sol: None\n", " status: 0\n", " success: True\n", " t: array([0.00000000e+00, 1.00000000e-04, 1.10000000e-03, ...,\n", " 1.99970803e+03, 1.99988107e+03, 2.00000000e+03])\n", " t_events: None\n", " y: array([[0.00000000e+00, 1.22621934e-08, 1.48335406e-06, ...,\n", " 8.21360172e+00, 8.35319859e+00, 8.39670829e+00],\n", " [0.00000000e+00, 2.45240802e-04, 2.69663572e-03, ...,\n", " 1.07294043e+00, 5.43739936e-01, 1.88681110e-01]])\n", " y_events: None\n" ] } ], "source": [ "tf=2000.\n", "A=1.09\n", "(w2,B,Om)=(1.5**2,0.75,1.)\n", "sol1=solve_ivp(D_driven, [0,tf], [0,0], atol=1e-10, rtol=1e-6, args=(w2,B,A,Om))\n", "print(sol1)\n", "sol2=solve_ivp(D_driven, [0,tf], [1e-6,0], atol=1e-10, rtol=1e-6, args=(w2,B,A,Om))" ] }, { "cell_type": "code", "execution_count": 6, "id": "5ebea311", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N2 = int(len(sol1.y[0])/2)\n", "plt.plot((sol1.y[0,N2:]+pi*1.1)%(2*pi)-pi*1.1,sol1.y[1,N2:], '.')\n", "plt.plot((sol2.y[0,N2:]+pi*1.1)%(2*pi)-pi*1.1,sol2.y[1,N2:], '.')" ] }, { "cell_type": "code", "execution_count": 7, "id": "3be24c5f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " message: 'The solver successfully reached the end of the integration interval.'\n", " nfev: 82208\n", " njev: 0\n", " nlu: 0\n", " sol: None\n", " status: 0\n", " success: True\n", " t: array([0.00000000e+00, 1.00000000e-04, 1.10000000e-03, ...,\n", " 1.99970858e+03, 1.99989108e+03, 2.00000000e+03])\n", " t_events: None\n", " y: array([[ 0.00000000e+00, 1.51871203e-08, 1.83718164e-06, ...,\n", " -1.99615675e+03, -1.99620538e+03, -1.99627507e+03],\n", " [ 0.00000000e+00, 3.03738608e-04, 3.33986992e-03, ...,\n", " -4.41959491e-02, -4.95976911e-01, -7.86037997e-01]])\n", " y_events: None\n" ] } ], "source": [ "from scipy.integrate import solve_ivp\n", "\n", "tf=2000. # end time. We want it to be as long as possible\n", "A=1.35 # this driving force > 1.09 should be chaotic\n", "(w2,B,Om)=(1.5**2,0.75,1.) # Taylor's values\n", "sol1=solve_ivp(D_driven, [0,tf], [0,0], atol=1e-10, rtol=1e-6, args=(w2,B,A,Om))\n", "print(sol1)\n", "sol2=solve_ivp(D_driven, [0,tf], [1e-6,0], atol=1e-10, rtol=1e-6, args=(w2,B,A,Om))" ] }, { "cell_type": "code", "execution_count": 8, "id": "307f72ea", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.plot(sol1.t, sol1.y[0])\n", "plt.plot(sol2.t, sol2.y[0])" ] }, { "cell_type": "code", "execution_count": 9, "id": "23da84bf", "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "(1950.0, 2000.0)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(sol1.t, (sol1.y[0]+pi)%(2*pi)-pi,'.-')\n", "plt.plot(sol2.t, (sol2.y[0]+pi)%(2*pi)-pi,'.-')\n", "plt.xlim(1950,2000)" ] }, { "cell_type": "code", "execution_count": 10, "id": "f3b556f9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N2 = int(len(sol1.y[0])/2)\n", "plt.plot((sol1.y[0,N2:]+pi)%(2*pi)-pi,sol1.y[1,N2:], '.')\n", "plt.plot((sol2.y[0,N2:]+pi)%(2*pi)-pi,sol2.y[1,N2:], '.');" ] }, { "cell_type": "code", "execution_count": 11, "id": "0851fa8f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " message: 'The solver successfully reached the end of the integration interval.'\n", " nfev: 88640\n", " njev: 0\n", " nlu: 0\n", " sol: None\n", " status: 0\n", " success: True\n", " t: array([0.00000000e+00, 1.00000000e-04, 1.10000000e-03, ...,\n", " 1.99979143e+03, 1.99992763e+03, 2.00000000e+03])\n", " t_events: None\n", " y: array([[ 0.00000000e+00, 1.61995950e-08, 1.95966041e-06, ...,\n", " -1.99549342e+03, -1.99547662e+03, -1.99548377e+03],\n", " [ 0.00000000e+00, 3.23987849e-04, 3.56252792e-03, ...,\n", " 2.61791507e-01, -1.93115264e-02, -1.79728452e-01]])\n", " y_events: None\n" ] } ], "source": [ "tf=2000.\n", "A=1.44 #1.08\n", "(w2,B,Om)=(1.5**2,0.75,1.)\n", "sol1=solve_ivp(D_driven, [0,tf], [0,0], atol=1e-10, rtol=1e-6, args=(w2,B,A,Om))\n", "print(sol1)\n", "sol2=solve_ivp(D_driven, [0,tf], [1e-6,0], atol=1e-10, rtol=1e-6, args=(w2,B,A,Om))" ] }, { "cell_type": "code", "execution_count": 12, "id": "404f6351", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N2 = int(len(sol1.y[0])/2)\n", "plt.plot((sol1.y[0,N2:]+pi)%(2*pi)-pi,sol1.y[1,N2:], '.')\n", "plt.plot((sol2.y[0,N2:]+pi)%(2*pi)-pi,sol2.y[1,N2:], '.')" ] }, { "cell_type": "code", "execution_count": 13, "id": "f2ba37f1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " message: 'The solver successfully reached the end of the integration interval.'\n", " nfev: 86054\n", " njev: 0\n", " nlu: 0\n", " sol: None\n", " status: 0\n", " success: True\n", " t: array([0.00000000e+00, 1.00000000e-04, 1.10000000e-03, ...,\n", " 1.99968190e+03, 1.99985867e+03, 2.00000000e+03])\n", " t_events: None\n", " y: array([[ 0.00000000e+00, 1.64808379e-08, 1.99368230e-06, ...,\n", " -1.99658330e+03, -1.99665758e+03, -1.99677285e+03],\n", " [ 0.00000000e+00, 3.29612638e-04, 3.62437736e-03, ...,\n", " -2.11925756e-01, -6.35372348e-01, -9.98509711e-01]])\n", " y_events: None\n" ] } ], "source": [ "tf=2000.\n", "A=1.465\n", "(w2,B,Om)=(1.5**2,0.75,1.)\n", "sol1=solve_ivp(D_driven, [0,tf], [0,0], atol=1e-10, rtol=1e-6, args=(w2,B,A,Om))\n", "print(sol1)\n", "sol2=solve_ivp(D_driven, [0,tf], [1e-6,0], atol=1e-10, rtol=1e-6, args=(w2,B,A,Om))" ] }, { "cell_type": "code", "execution_count": 14, "id": "bbcd50d6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Iv//9b1m8eLH85S9/kauuukr1WwMAYBxWcU2kvI/IdNBHBADSjRNybTZuoyjnb+41AwDQgpsR1ubCNiIQAQAkjmWstbmyjZTXiAAA7KN6OoBlrLW5so3IiAAAJkhiOoBlrLW5so0IRADLDXf5kn/MT126FnokNR3gyp1lp8OVbUQgAljMhUK2OBG01ZbkdEDTjkA+z4nk8yKf57gjcjkubCNqRABLDXeVbpwlUvrvcJefuiumOHCjsfqMXBjbPuODkcJ0gIobBnIzwtrSvo3IiACWcqWQLQ6urD6IgyvTATAHGRHAUklfucZBV2MmgrZo6PypDtt1KjIigKVsu3LVWc/iyuqDOLXuDKT5icDY/clG1HSVRyACWMyWQjbdUyO2BW1IH93fAZMxNQNYzoZCNhOmRphugE4mfAdMRSACQDlT6llsCNqQTqZ8B0zE1AwA5Zgagev4DlRGIAIgEbbUswCqRPkOuNR8zwvDybXk5shms+L7vgRBIG1tbbqHA2hFfQPghtHuUmFrIXNiW+Ae5fxNRgSwAMv+ADe4uLqGQAQwnIsHJsBVLq6uIRABDOfigQlwlYvN9whEAMO5eGACXOXi6hoCEcBwLh6YAJe5tsKMhmaABegKCrjFpeZ7BCKAJVw6MAFwB1MzAABAGwIRAACgDVMzAOC4pOqPqHNCOWREADjNpXt6lJNU1166A6MSAhEAznL95JhU115XuwO7HuTWi0AEgJNcPTmOl1TXXhe7A7se5EZBIALASS6eHCdLqmuva92BCXKjIRAB4CTXTo7lJNW117XuwAS50RCIAHCSayfHSpJqJ+5S23KC3Gi8MJy8ucyRzWbF930JgkDa2tp0DwdACrGkFCqMdpemZwpBbpqDr8minL/pIwLAabTOhwr13h+KQJhABAAAJWoFuYWVNZ4n0tI09rNLWZMCakQAaEe/BbiGlTUlBCIAtKLfAlzEypoSAhEA2nBVCFexsqaEQASANlwVwlUsHy8hEAGgDVeFcJlLvVWqYdUMkGKmLw1s3RkUa0LG91swcayACiwfJyMCpJYtRaBcFQJuIyMCpNBwV6k/gUjpv8NdvpHZBq4KAXeREQFSiCJQALZQGog8+eSTsmLFCrnooovk0ksvVflWAMahCBSALZQGIiMjI7Ju3Tp54IEHVL4NgElYGoiCj0+dlH/+3z/Lx6dO6h4KUJbSGpHHH39cRESef/55lW8DoIx6b7qF9Dr6x/8jS4/3yBwvlHzoydFv9ch3fvig7mEBExhVrJrL5SSXyxV/zmazGkcD2I8i0PjYFtR9fOqkLD3eI83eWFqs2Qvl+uOPy8c33iZz5i/SOzhgHKOKVXt7e8X3/eKjo6ND95AAwJql0ON9+t//KgYhBV/xRuXMf7+raURAeZEDkZ6eHvE8r+qjr6+vocFs27ZNgiAoPgYHBxv6dwAgLrbeD+eKq74h+XDi0qkvwiZpv+rrmkYElBd5ambz5s2yfv36qq/p7OxsaDCZTEYymUxDfxcAVLBxKfRwly/tM0TyoyLhV5rkK96ofBE2yf/71nb5DtMyMEzkQKS9vV3a29tVjAUAjDNyQaSlaWIwUlgKbWLtTWEayfNEmppEwnBU3ln9orRf9XWCkJjYVi9kOqU1IgMDA9Lf3y8DAwOSz+elv79f+vv75dy5cyrfFgBiY9NS6ErTSP/rz/+bAtWY2FgvZDqlgUh3d7csWbJEtm/fLufOnZMlS5bIkiVLGq4hAQAdbLkfjo3TSDaxtV7IdEqX7z7//PP0EAESRtpYDRuWQic9jeTavkagp4ZRy3cBTA9pY7clOY3k4r7GrRPUIBABUoK0MUSSmUZydV+zqV7IJkZ1VgXQONLGKFA9jeTyvsatE+JHIAKkhG3LTGEv1/e1aoEeQUp0TM0AKUHaGElhXyvPxbqZOBCIACliyzJT2I99bSJX62biwNQMkDI2LDOdLtLfZnBhX6uXy3Uz00VGBIBVSH/DRCztbRyBCABrkP6GqaibaRyBCABrkP6GyaibaQw1IgCs4fqyUZiPupnoyIgAsIaN6e/hLl/yj/lMHwEVEIgAsIpN6W8Ka4HamJoBYB0b0t/DXWNByPjC2sLzJmdwgKSREQEABSisBepDIAIACtBXAqgPgQgAKGBjYS2gA4EIAChiU2EtoAvFqgCgkA2FtYBOZEQAAIA2BCIAAEAbpmYATDHc5cvMGV+2Tqe4MlFse7iGjAiACegGqg/bHi4iEAFQNNzli+dN7AbqecJ9UhLAtoermJoBUEQ3UH3Y9slh+sssZEQAFNENVB+2fTKY/jIPgQiAIrqB6sO2V4/pLzMRiACYgG6g+tTa9sNdvuQf8zlxNojpLzNRIwJgCrqB6lNp2xemFDxPpKVp7GeCxGhGLoxtu/HBSGH6i31dHzIiAJxjW2YhzikF2z57nJj+MhOBCACn2FisGNeUgo2fPW5MPZqHqRkAzhjuKk1viJT+O9zlG31VHMeUgq2fXYVK018s69WDjAgAZ9harBjHlIKtnz0pZIv0IRAB4Aybe3VMd0rB5s+uGst69SIQAeAM24sVW3cG0vxE0NB4bf/sKpEt0otABEBZaV1d4XKxosufvRqyRXp5YTh585sjm82K7/sSBIG0tbXpHg7gjNHuUqq6cOXMSQtpxj4fryjnbzIiACZgvhwuIlukD8t3AUzAfDlcRUdhPQhEAExAG2x30UcDOjA1A2ACVle4iT4a0IVABMAUzJe7hbog6MTUDICymC93B3VB0ImMCAA4jj4a0ElZIPLhhx/KvffeKwsXLpTW1lZZtGiRbN++XUZGRlS9JQCgAdQFQSdlUzPvvvuujI6OyrPPPitXX321/POf/5T7779fzp8/L7t27VL1tgCABjTtCFg1Ay0S7az6y1/+Unbv3i3vv/9+Xa+nsyoApA8BT/pFOX8nWqwaBIHMnj274p/ncjnJ5XLFn7PZbBLDAoCaOHnGo7BM2PPG+tWMdvusynJcYsWqJ0+elKefflo2btxY8TW9vb3i+37x0dHRkdTwAKCienpspPUmgXFimTDKiRyI9PT0iOd5VR99fX0T/s7Q0JDceuutsm7dOrnvvvsq/tvbtm2TIAiKj8HBweifCABiVM/Jk2Zg9WGZMMqJPDWzefNmWb9+fdXXdHZ2Fv9/aGhIVq1aJcuXL5fnnnuu6t/LZDKSyWSiDgmABWyd2qh18hzuKk01FP6s8LxNnzMJ3D4A5UQORNrb26W9vb2u13700UeyatUqWbp0qezZs0eammhbArjI5rqAWidPrvLr17ozKGaLPM/cZcK2Bs22UhYZDA0Nyc033ywdHR2ya9cu+fTTT+X06dNy+vRpVW8JwEC21wXU6rFBM7BoTL99ANNsyVO2amb//v1y4sQJOXHihMyfP3/CnyW4YhiAZmnIGFTrsWHLVb5JTL19ANNseijLiNx9990ShmHZBwB3pCVj0LozkOYngrInJNOv8lGfNATNNuKmdzFjbhGYyJWMgalX+bbScSzVWUzr8rmD6tEY6ZpbpH8BTEfGAFHoOpbquueO63UpibZ4j8qmFu+T5xZFxnbgz3Nqd+LR7lIhYOFLw0EegK10HUsnjyGp7IQJn1cFY1u8p5mOuUUKqwCkjQl1GklOs5nweXUjEImJjrlFdmDAfi7XBpTjWtMz3Z/XhP2PGpGY6JhbTMtqBMBVjdQGpL0mTFedhi46P68ptSkEIjFKuiDPtS8skCaNNHoz5cShmmvFzTo+r0mNBpmaiVnSS/iqNVrSwaSxACaLOrXqWk3Y5GNp2o8tSZ47xt9yYTxdU/tkRFKgWqOlJLlytQbEIerUqss1YRxb4jM5EzKerql9AhHEwqQ0H8yX9jqHekSdWnW1JoxjS7zKBbQieqf2CUQQC5ev1hANV7clUWoDXK0J49gSr0oBrc5aHAIRxMLVqzVEw9XtVFGmVl0r4hTh2BI3EwNailURC1fuJ4Lp4ep2+pIuiNddJJrWY4vO7WraIgdavGti0k4Qp7R+LsQjre2s08qkW0jYfGyZPHaTtqsqUc7fzgYiOndqF3ZCoBL2fzvYFDSaHKSU298nr1oxdbtOR5Tzt5M1IiqK5epdBcAcuRqswrCHi3UONrJlGs3k4udKx3sd9yUz+fjoXCCiIhCI8kWw5cttE5MPRCjPlN43qMyGIlHTL+wqHe+T3K42HB+dC0TiDgSifhFs+HLbxPQDEZJl+pWfTUxcXTGZ6Rd2lY73SW1XW46PzgUicQcCUb8INny5bWL6gQglqoMEG678bGP6NJrpF3aVjvdJbVdbjo/OBSJxBwKNfBFM+nLbfgVp+oEIY1QHCbZc+dnI5Gk0Gy7sKh3va23XOI7NthwfWTUTQ5W1rasAbB33ZGn5HGmVxOqL/GO+NDeXeT4v0vwE+0LambxqphFxHtN0HR+jnL+dbWgWR1Og8Tu/iFj1RUjTnTxNac5jwhhMlER6eOSCSEvT1GBn5EJyjb+gT9JN3lSK+9hsyvGxGmcDkekafxvllqZSlGnLF8GWucN66T4QTd4fRrt9sjJfSiJISGv3TbhHxbFZ9/GxFudqROKQhvloW+YObZCG/UGlpObxTaq9Ahrl4rGZjEgD0pBN4AoyPqbuDyalY5NKD5t+5Qc9TPou1OLisZmMSAPSErFyBRkPE/cHE5eymrz6Aull4nehFteOzc6umpkuVmpgPJP2B5vuEQKoxHdBH+41kwDXIlZUZ9L+YOpUEZA0vgt2oEZkGpiPjodN87fVmLI/sJQVGBP1u5CWY5FtyIhAKxvnb01nQ7fJpNneQRiNifJd4FikD4FISth4oGXZqzomTRXpxgnGbfV8FzgW6cXUTArY2kyL+Vu1TJkq0imJDsKk881X67vAsUgvMiKWszmSN3HZK9IlM1PtCSbt2RYbM62N4FikF4GI5WyO5KllgEqFIH2yuE4wNl8E1KORIMvWwIVjkV4EIpazPZKnlgGqlAvSReI7wdh8EVBLI0GW7dkhjkX6UCNiuczMiT/bGMlTywAVKi3dzI3Es6+leZl01CArLXfz5likBxkRi02+ainIjegZD2AS1el2k9L5cU+JRM20pjk7BPUIRCzGlz9ets5vozLV6XYT0vkqpkSiBlm2TxFDL+41YzHuoxAfk+4VA9RL9TEgytLkKN8hljynH/eacYRJqWGbpX31A9JLdVY0yh2T680O2V7UivhRrGq5ph0BVxfTxBQXVFL5/UyyYLaez1Gr2DMtRa2IFxmRFIhy1YKpmN+GKqqv/pPKisb1OQj6UQ6BCJzHFBdUSGrKT3XBbJyfg6Af5TA1AwhTXIhfklf/1aZEprtfx/k5WncGxWzK+KJWvm9uU5oRuf3222XBggXS0tIic+fOlQ0bNsjQ0JDKtwQaZuIUl6lLik0dl0lMuPqPY0ol7s9hwpJnmEXp8t2nnnpKli9fLnPnzpWPPvpIfvazn4mIyOHDh+v6+yzfhctMXVJs6rhMpHNbxbm0l985oopy/k60j8hrr70ma9eulVwuJzNm1M7rEYjAVab2iDF1XCbTNeWXf8yX5uYyz+dFmp+IPg6mLhFFlPN3YjUin332mbzwwguyYsWKuoIQwGWmri4wdVwm03X/kriX9nIfFqiifNXMww8/LBdffLFcfvnlMjAwIPv27av42lwuJ9lsdsIDcJEJ9QXlmDouTMVqMNgiciDS09MjnudVffT19RVf/9BDD8mxY8dk//790tzcLHfeeadUmg3q7e0V3/eLj46OjsY/GbShkHH6TD2JmDoulEdhKGwQuUbkzJkzcubMmaqv6ezslJaWlinPnzp1Sjo6OuTw4cOyfPnyKX+ey+Ukl8sVf85ms9LR0UGNiEUoaouXqfPypo4LgBmU1oi0t7dLe3t7QwMrxDzjg43xMpmMZDKZhv5t6Ef75viZOi9v6rgA2EdZserRo0fl6NGjsnLlSrnsssvk/fffl+7ublm0aFHZbAjsRyEjACAqZcWqra2t8qc//UluueUWueaaa+See+6RxYsXy8GDB8l6AAAAEVGYEfnmN78pf/vb31T98zBQkncCBQCkAze9Q2xYUQEAiIpABLFiuSAAIAruvovYsaICAFAvMiIAAEAbAhEAAKANgQgAANCGQAQAAGhDIAIAALQhEAEAANoQiAAAAG3oIwIACRju8mXmjC9veUC3YaCIjAhSbbjLl/xjvgx3+bqHAoeNdvvSkhFpbhZpyYz9DGAMgQhSi4M/TDDc5YvnlW4GWfh/gmNgDIEIUomDP0wxc8bEO1KLjP08c4ae8QCmIRBBKnHwhylGLpTuSF0QhmPPAyAQAQClWncGEoalYKTw/xSsAmMIRJBKXIXCJE07Avk8J5LPi3yeG/sZwBgCEaQSV6EwTevOQEYujE0PUqsElBCIILW4CoVJWMUFlEdDM6RaIQPSqnkccNtw11gQMn4VV+F5snRwHRkRAFCMVVxAZQQiAKAYxdNAZQQiAKAYxdNAZQQiAJAAiqeB8ihWBRLGXVjdRfE0MBUZESBBLOEEgIkIRICEcCM+AJiKQARICEs4AWAqakSAhIxcEGlpmhiMFJZwUjPQGOptAPuREQFgJeptgHQgEAESwtRMfKi3AdKDqRkgITZMzdgy1UFQB6QHGREgIaZ317RpqoOW6UB6EIgACTK1u6ZtUx2mB3UA6kcgAiSsdWcgzU8ERp00bZzqaNpRCkYKgZPJWRwA5RGIALByqsO2LA6A8ghEAFg51WFjFgfAVAQiAKzMLtiYxQEwFYEIACuzCzZmcQBMRSACwNrsgqmrkADUj4ZmAKR1Z1BcceJ5dmUXCmM0pSkcgGjIiAAQEbILAPQgIwKgiOwCgKSREQEAANoQiAAAAG0SCURyuZx8+9vfFs/zpL+/P4m3BAAAFkgkEPn5z38u8+bNS+KtAACARZQHIq+//rrs379fdu3apfqtAACAZZSumvn444/l/vvvl1dffVUuuuiimq/P5XKSy+WKP2ezWZXDAwAAminLiIRhKHfffbds3LhRli1bVtff6e3tFd/3i4+Ojg5VwwMAAAaIHIj09PSI53lVH319ffL0009LNpuVbdu21f1vb9u2TYIgKD4GBwejDg8AAFjEC8PJd5io7syZM3LmzJmqr+ns7JT169fLn//8Z/HG3Ukrn89Lc3Oz/OQnP5Hf/e53Nd8rm82K7/sSBIG0tbVFGSYAANAkyvk7ciBSr4GBgQk1HkNDQ/L9739f/vCHP8iNN94o8+fPr/lvEIgAAGCfKOdvZcWqCxYsmPDzJZdcIiIiixYtqisIAQAA6Wf0vWYKyRpWzwAAYI/CebueSZfEApHOzs66BjTe2bNnRURYPQMAgIXOnj0rvu9XfY2yGpE4jI6OytDQkMyaNWtC0WvcstmsdHR0yODgILUoFbCNamMb1cY2qo1tVBvbqDbd2ygMQzl79qzMmzdPmpqqL9A1emqmqakp0XqStrY2duoa2Ea1sY1qYxvVxjaqjW1Um85tVCsTUsDddwEAgDYEIgAAQBsCERHJZDKyfft2yWQyuodiLLZRbWyj2thGtbGNamMb1WbTNjK6WBUAAKQbGREAAKANgQgAANCGQAQAAGhDIAIAALQhEJnk9ttvlwULFkhLS4vMnTtXNmzYIENDQ7qHZYwPP/xQ7r33Xlm4cKG0trbKokWLZPv27TIyMqJ7aEZ58sknZcWKFXLRRRfJpZdeqns4RnjmmWdk4cKF0tLSIkuXLpW33npL95CMcujQIbnttttk3rx54nmevPrqq7qHZJTe3l654YYbZNasWXLllVfK2rVr5b333tM9LKPs3r1bvvWtbxWbmC1fvlxef/113cOqiUBkklWrVsnvf/97ee+99+SPf/yjnDx5Un70ox/pHpYx3n33XRkdHZVnn31W3nnnHXnqqafkt7/9rTzyyCO6h2aUkZERWbdunTzwwAO6h2KEV155RR588EF59NFH5dixY3LTTTfJmjVrZGBgQPfQjHH+/Hm57rrr5Ne//rXuoRjp4MGDsmnTJjly5IgcOHBAvvjiC1m9erWcP39e99CMMX/+fNm5c6f09fVJX1+ffO9735M77rhD3nnnHd1Dqy5EVfv27Qs9zwtHRkZ0D8VYv/jFL8KFCxfqHoaR9uzZE/q+r3sY2n3nO98JN27cOOG5r3/962FXV5emEZlNRMK9e/fqHobRPvnkk1BEwoMHD+oeitEuu+yy8L/+6790D6MqMiJVfPbZZ/LCCy/IihUrZMaMGbqHY6wgCGT27Nm6hwFDjYyMyNtvvy2rV6+e8Pzq1avl8OHDmkYF2wVBICLCsaeCfD4vL7/8spw/f16WL1+uezhVEYiU8fDDD8vFF18sl19+uQwMDMi+fft0D8lYJ0+elKefflo2btyoeygw1JkzZySfz8ucOXMmPD9nzhw5ffq0plHBZmEYytatW2XlypWyePFi3cMxyj/+8Q+55JJLJJPJyMaNG2Xv3r3yjW98Q/ewqnIiEOnp6RHP86o++vr6iq9/6KGH5NixY7J//35pbm6WO++8U8KUN6CNuo1ERIaGhuTWW2+VdevWyX333adp5MlpZBuhxPO8CT+HYTjlOaAemzdvluPHj8tLL72keyjGueaaa6S/v1+OHDkiDzzwgNx1113yr3/9S/ewqvqK7gEkYfPmzbJ+/fqqr+ns7Cz+f3t7u7S3t8vXvvY1ufbaa6Wjo0OOHDlifHprOqJuo6GhIVm1apUsX75cnnvuOcWjM0PUbYQx7e3t0tzcPCX78cknn0zJkgC1bNmyRV577TU5dOiQzJ8/X/dwjDNz5ky5+uqrRURk2bJl8ve//11+9atfybPPPqt5ZJU5EYgUAotGFDIhuVwuziEZJ8o2+uijj2TVqlWydOlS2bNnjzQ1OZFYm9Z+5LKZM2fK0qVL5cCBA/KDH/yg+PyBAwfkjjvu0Dgy2CQMQ9myZYvs3btX3nzzTVm4cKHuIVkhDEPjz19OBCL1Onr0qBw9elRWrlwpl112mbz//vvS3d0tixYtSnU2JIqhoSG5+eabZcGCBbJr1y759NNPi3/21a9+VePIzDIwMCCfffaZDAwMSD6fl/7+fhERufrqq+WSSy7ROzgNtm7dKhs2bJBly5YVs2gDAwPUFo1z7tw5OXHiRPHnDz74QPr7+2X27NmyYMECjSMzw6ZNm+TFF1+Uffv2yaxZs4oZNt/3pbW1VfPozPDII4/ImjVrpKOjQ86ePSsvv/yyvPnmm/LXv/5V99Cq07lkxzTHjx8PV61aFc6ePTvMZDJhZ2dnuHHjxvDUqVO6h2aMPXv2hCJS9oGSu+66q+w2euONN3QPTZvf/OY34VVXXRXOnDkzvP7661l2Ockbb7xRdp+56667dA/NCJWOO3v27NE9NGPcc889xe/YFVdcEd5yyy3h/v37dQ+rJi8MU16FCQAAjOXG5D4AADASgQgAANCGQAQAAGhDIAIAALQhEAEAANoQiAAAAG0IRAAAgDYEIgAAQBsCEQAAoA2BCAAA0IZABAAAaEMgAgAAtPn/at7yxRbzIGoAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N2 = int(len(sol1.y[0])/2)\n", "plt.plot((sol1.y[0,N2:]+pi)%(2*pi)-pi,sol1.y[1,N2:], '.')\n", "plt.plot((sol2.y[0,N2:]+pi)%(2*pi)-pi,sol2.y[1,N2:], '.')" ] }, { "cell_type": "code", "execution_count": 15, "id": "9ca310b2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " message: 'The solver successfully reached the end of the integration interval.'\n", " nfev: 86834\n", " njev: 0\n", " nlu: 0\n", " sol: None\n", " status: 0\n", " success: True\n", " t: array([0.00000000e+00, 1.00000000e-04, 1.10000000e-03, ...,\n", " 1.99973815e+03, 1.99990905e+03, 2.00000000e+03])\n", " t_events: None\n", " y: array([[ 0.00000000e+00, 1.68745781e-08, 2.04131293e-06, ...,\n", " -5.35036878e+01, -5.33735176e+01, -5.33202447e+01],\n", " [ 0.00000000e+00, 3.37487342e-04, 3.71096658e-03, ...,\n", " 8.71616400e-01, 6.48714221e-01, 5.21598633e-01]])\n", " y_events: None\n" ] } ], "source": [ "tf=2000.\n", "A=1.5\n", "(w2,B,Om)=(1.5**2,0.75,1.)\n", "sol1=solve_ivp(D_driven, [0,tf], [0,0], atol=1e-10, rtol=1e-6, args=(w2,B,A,Om))\n", "print(sol1)\n", "sol2=solve_ivp(D_driven, [0,tf], [1e-6,0], atol=1e-10, rtol=1e-6, args=(w2,B,A,Om))" ] }, { "cell_type": "code", "execution_count": 16, "id": "7e7250e5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N2 = int(len(sol1.y[0])/2)\n", "plt.plot((sol1.y[0,N2:]+pi)%(2*pi)-pi,sol1.y[1,N2:], '.')\n", "plt.plot((sol2.y[0,N2:]+pi)%(2*pi)-pi,sol2.y[1,N2:], '.')" ] }, { "cell_type": "markdown", "id": "5b18aa55", "metadata": {}, "source": [ "Even though the initial conditions differ for $10^{-6}$ the two solutions are completely different at long times. This means that Lyapunov exponent is positive. It is possible to calculate it, but we will not attempt that here." ] }, { "cell_type": "code", "execution_count": null, "id": "de35810b", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.18" } }, "nbformat": 4, "nbformat_minor": 5 }