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Experimenting with Chaos Theory and Visualizing logistic map (Source: https://ipython-books.github.io/121-plotting-the-bifurcation-diagram-of-a-chaotic-dynamical-system/)
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def logistic(r,x):\n", | |
" return r*x*(1-x)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def plot_system(r,x0,n, ax=None):\n", | |
" #plot the function and y=x diagonal line\n", | |
" t = np.linspace(0,1)\n", | |
" ax.plot(t,logistic(r,t),'k',lw=2)\n", | |
" ax.plot([0, 1], [0, 1], 'k', lw=2)\n", | |
" \n", | |
" # Recursively apply y=f(x) and plot two lines:\n", | |
" # (x, x) -> (x, y)\n", | |
" # (x, y) -> (y, y)\n", | |
" x = x0\n", | |
" for i in range(n):\n", | |
" y = logistic(r, x)\n", | |
" # Plot the two lines.\n", | |
" ax.plot([x, x], [x, y], 'k', lw=1)\n", | |
" ax.plot([x, y], [y, y], 'k', lw=1)\n", | |
" # Plot the positions with increasing\n", | |
" # opacity.\n", | |
" ax.plot([x], [y], 'ok', ms=10,\n", | |
" alpha=(i + 1) / n)\n", | |
" x = y\n", | |
" \n", | |
" ax.set_xlim(0, 1)\n", | |
" ax.set_ylim(0, 1)\n", | |
" ax.set_title(f\"$r={r:.1f}, \\, x_0={x0:.1f}$\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x432 with 2 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 6),\n", | |
" sharey=True)\n", | |
"plot_system(2.5, .1, 10, ax=ax1)\n", | |
"plot_system(3.5, .1, 10, ax=ax2)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"n = 10000\n", | |
"r = np.linspace(2.5, 4.0, n)\n", | |
"\n", | |
"iterations = 1000\n", | |
"last = 100\n", | |
"\n", | |
"x = 1e-5 * np.ones(n)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"lyapunov = np.zeros(n)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Text(0.5, 1.0, 'Bifurcation diagram')" | |
] | |
}, | |
"execution_count": 8, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 576x648 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"#Bifurcation\n", | |
"\n", | |
"fig, ax = plt.subplots(1, 1, figsize=(8, 9),\n", | |
" sharex=True)\n", | |
"for i in range(iterations):\n", | |
" x = logistic(r, x)\n", | |
" if i >= (iterations - last):\n", | |
" ax.plot(r, x, ',k', alpha=.25)\n", | |
"ax.set_xlim(2.5, 4)\n", | |
"ax.set_title(\"Bifurcation diagram\")\n" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"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": "3.7.1" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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