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"## 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."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "45eb1efe",
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"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": "3be24c5f",
"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": [
"from scipy.integrate import solve_ivp\n",
"\n",
"tf=2000. # end time. We want it to be as long as possible\n",
"A=1.5 # the 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": "307f72ea",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
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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": "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": 4,
"id": "23da84bf",
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"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,'.-')"
]
},
{
"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": 5,
"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": 6,
"id": "0851fa8f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" message: 'The solver successfully reached the end of the integration interval.'\n",
" nfev: 71126\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",
" 1.99967591e+03, 1.99985717e+03, 2.00000000e+03])\n",
" t_events: None\n",
" y: array([[ 0.00000000e+00, 1.21496962e-08, 1.46974531e-06, ...,\n",
" 1.47574740e+01, 1.46688229e+01, 1.45530461e+01],\n",
" [ 0.00000000e+00, 2.42990886e-04, 2.67189594e-03, ...,\n",
" -3.25058061e-01, -6.61951156e-01, -9.64500158e-01]])\n",
" y_events: None\n"
]
}
],
"source": [
"tf=2000.\n",
"A=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": 7,
"id": "404f6351",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 7,
"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": 8,
"id": "f2ba37f1",
"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": [
"tf=2000.\n",
"A=1.0\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": 9,
"id": "bbcd50d6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 9,
"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": "markdown",
"id": "bf15256c",
"metadata": {},
"source": [
"This `Phase Space` is simple, similar to a simple harmonic oscilator."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "9ca310b2",
"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
}