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@garym
Last active September 19, 2020 13:40
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Logistic Map exploration
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.rc_context at 0x7ff4703c79d0>"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"from IPython.display import Markdown as md\n",
"plt.xkcd()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Logistic Map\n",
"\n",
"The logistic map is one of the standard basic equations used to show that chaotic behaviour can arise from remarkably simple, non-linear equations. It is an example of a quadratic iterated map and is defined as\n",
"\n",
"\\begin{equation*}\n",
" x_{n+1} = r x_{n} (1 - x_{n})\n",
"\\end{equation*}\n",
"\n",
"which is mapping $x_{n}$ for the $n$th generation to the value for the $n+1$th generation.\n",
"\n",
"As a continuous function, plotting the function with $r=4$ over the range $0\\le{x}\\le{1}=$ looks like this:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7ff4489a9d60>]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(10, 6))\n",
"ax = fig.add_subplot()\n",
"\n",
"r = 4.0\n",
"xs = np.linspace(0, 1, 100)\n",
"\n",
"ax.set_title('$y = r x (1 - x)$ for $r = %s$' % r)\n",
"ax.set_xlabel('$x$')\n",
"ax.set_ylabel('$y$')\n",
"ax.plot(xs, r * (xs * (1 - xs)))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def f(r, x):\n",
" return r * x * (1 - x)\n",
"\n",
"def map_1d(r, x0, f):\n",
" x = x0\n",
" while True:\n",
" x = f(r, x)\n",
" yield x"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Perhaps obviously, in the iterated form, each iteration lies on the same line and, maybe less obviously, in the range $ 0 \\le{x_n} \\le{1} $, iterating will stay within that for all $n$."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"x0 = 0.2\n",
"x = x0\n",
"r = 4.0\n",
"iterations = 100\n",
"gen = map_1d(r, x, f)\n",
"\n",
"data = []\n",
"for i in range(iterations):\n",
" xnew = next(gen)\n",
" data.append((i, x, xnew))\n",
" x = xnew"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7ff4488c1e20>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(10, 6))\n",
"ax = fig.add_subplot()\n",
"ixs = [item[1] for item in data]\n",
"iys = [item[2] for item in data]\n",
"\n",
"ax.set_title('$x_{n+1} = r x_{n} (1 - x_{n})$ for $r = %s$ and $x_0 = %s$ after $%s$ iterations' % (r, x0, iterations))\n",
"ax.set_xlabel('$x_{n}$')\n",
"ax.set_ylabel('$y_{n+1}$')\n",
"#ax.plot(xs, r * (xs * (1 - xs)))\n",
"ax.scatter(ixs, iys)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Given enough iterations, the points will seem to form a continuous line. Perhaps interestingly though, there are initial values which will not display this behaviour, including $x = 0$, $x = 1$ and $x = 0.5$ which all end up at $0$."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7ff4486c7910>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(10, 6))\n",
"ax = fig.add_subplot()\n",
"\n",
"initial_points = (\n",
" (0.0, ax.scatter),\n",
" (0.5, ax.plot),\n",
" (1.0, ax.plot),\n",
" (0.345491, ax.plot),\n",
" (0.75, ax.scatter),\n",
")\n",
"\n",
"r = 4.0\n",
"iterations = 10\n",
"\n",
"ax.set_title('Plots of $x_{n+1} = r x_{n} (1 - x_{n})$ for different $x_{0}$s ($r=%s$)' % r)\n",
"ax.set_xlabel('$x_{n}$')\n",
"ax.set_ylabel('$y_{n+1}$')\n",
"ax.plot(xs, r * (xs * (1 - xs)))\n",
"\n",
"for (x0, pltfn) in initial_points:\n",
" gen = map_1d(r, x0, f)\n",
" label = \"$x_{0}=%s$\" % x0\n",
"\n",
" data = []\n",
" for i in range(iterations):\n",
" x0new = next(gen)\n",
" data.append((i, x0, x0new,))\n",
" x0 = x0new\n",
" i0xs = [item[1] for item in data]\n",
" i0ys = [item[2] for item in data]\n",
" pltfn(i0xs, i0ys, label=label)\n",
"\n",
"ax.legend(loc='center')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are an infinite number of points which end up in cycles, like the 2-cycle between $x=0.345491...$ and $x=0.904508...$, though these are unstable in the sense that a slight deviation from these points will move away over successive iterations.\n",
"\n",
"The behaviour of the map changes with the value of $r$ in a way that may not be particularly intuitive."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x576 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rs = (3.0, 3.2, 3.5, 3.84, 3.85, 4.0) \n",
"x_0 = 0.2\n",
"iterations = 1000\n",
"skip = 900\n",
"\n",
"fig, axs = plt.subplots(2, 3, figsize=(14, 8), sharex=True, sharey=True)\n",
"fig.suptitle('''Long term trends of $x_{n+1} = r x_{n} (1 - x_{n})$ for six different values of $r$, each with $ x_0 = %s $\n",
"(iterations plotted between $%s \\leq n < %s$)''' % (x_0, skip, iterations))\n",
"fig.subplots_adjust(top=0.85)\n",
"\n",
"for ax in axs.flat:\n",
" ax.set(xlabel='$x_{n}$', ylabel='$y_{n+1}$')\n",
" ax.label_outer()\n",
" \n",
"for i, ax in enumerate(axs.flat):\n",
" r = rs[i]\n",
" ax.plot(xs, r * (xs * (1 - xs)))\n",
" x0 = x_0\n",
" gen = map_1d(r, x0, f)\n",
" data = []\n",
" for i in range(iterations):\n",
" x0new = next(gen)\n",
" data.append((i, x0, x0new,))\n",
" x0 = x0new\n",
" i0xs = [item[1] for item in data[skip:]]\n",
" i0ys = [item[2] for item in data[skip:]]\n",
" ax.plot(i0xs, i0ys)\n",
" ax.set_title('$ r = %s $' % r)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/markdown": [
"\n",
"In the above plots, we are plotting the iterated map for a number of values of $r$\n",
"but otherwise keeping the initial conditions the same, with $ x_0 = 0.2$.\n",
"For each case we run $1000$ iterations but only start plotting from\n",
"$900$ iterations to isolate longer term trends.\n"
],
"text/plain": [
"<IPython.core.display.Markdown object>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"md(f'''\n",
"In the above plots, we are plotting the iterated map for a number of values of $r$\n",
"but otherwise keeping the initial conditions the same, with $ x_0 = {x_0}$.\n",
"For each case we run ${iterations}$ iterations but only start plotting from\n",
"${skip}$ iterations to isolate longer term trends.\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": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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