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@kumpeishiraishi
Created April 22, 2018 13:59
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3D scatter plot of Lorenz attractor\n",
"\n",
"In this JupyterLab notebook, we numerically solve Lorenz equation in a certain parameter set, and visualize an attractor.\n",
"\n",
"Reference: [E.N. Lorenz, Journal of the Atmospheric Science 20, 130 (1963)](https://doi.org/10.1175/1520-0469%281963%29020<0130:DNF>2.0.CO;2)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from mpl_toolkits.mplot3d import Axes3D\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lorenz equation consists of the following three equations.\n",
"$$\n",
"\\begin{align}\n",
"\\frac{dx}{dt} &= -\\sigma(x-y)\\\\\n",
"\\frac{dy}{dt} &= -xz+rx-y\\\\\n",
"\\frac{dz}{dt} &= xy - bz\n",
"\\end{align}\n",
"$$\n",
"\n",
"Parameter values which Lorenz used in the article is $\\sigma=10,b=8/3,r=28$. We use the same values.\n",
"\n",
"Initial values of $x,y,z$ can be determined arbitrarily, so we pick out, say, $x=10,y=-10,z=-10$."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"sigma = 10\n",
"b = 8/3\n",
"r = 28\n",
"x0 = -10\n",
"y0 = -10\n",
"z0 = -10"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To solve this nonlinear equation numerically, we have to choose a small increment $\\Delta t$, and a length of simulation."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"delta_t = 1e-5\n",
"max_t = int(1e7)\n",
"x = np.empty(max_t)\n",
"y = np.empty(max_t)\n",
"z = np.empty(max_t)\n",
"x[0] = x0\n",
"y[0] = y0\n",
"z[0] = z0"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally, let's start iteration! (Caution, this loop takes very long time)\n",
"```python\n",
"for t in range(1,max_t):\n",
" x[t] = x[t-1] - sigma*(x[t-1] - y[t-1])*delta_t\n",
" y[t] = y[t-1] + (-x[t-1]*z[t-1] + r*x[t-1] - y[t-1])*delta_t\n",
" z[t] = z[t-1] + (x[t-1]*y[t-1] - b*z[t-1])*delta_t\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"... I love Python, but do not want to use it in this case.\n",
"I cannot bear long calculation time, so I wrote the same code in C++:\n",
"\n",
"```c++\n",
"# include <fstream>\n",
"# include <cmath>\n",
"# include <iomanip>\n",
"\n",
"int main() {\n",
" const double sigma = 10;\n",
" const double b = 8.0/3.0;\n",
" const double r = 28;\n",
" double x = -10;\n",
" double y = -10;\n",
" double z = -10;\n",
" double dt = 1e-5;\n",
" double xn;\n",
" double yn;\n",
" double zn;\n",
"\n",
" std::ofstream out(\"res.csv\");\n",
" for (int t=0; t<1e7; t++) {\n",
" if (t%1000==0) {\n",
" out << std::setprecision(15) << std::scientific\n",
" << x << \",\" << y << \",\" << z << \"\\n\";\n",
" }\n",
" xn = x - sigma*(x-y)*dt;\n",
" yn = y + (r*x-z*x-y)*dt;\n",
" zn = z + (x*y - b*z)*dt;\n",
" x = xn;\n",
" y = yn;\n",
" z = zn;\n",
" }\n",
"}\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Running the above C++ code, we obtain the data. Read it by pandas."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_csv(\"res.csv\",header=None)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The final mission we have is to visualize the data. \n",
"Matplotlib can do a great job for almost all purpose of data visualization.\n",
"3D scatter plot is not an exception."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(8,6))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"ax.scatter(np.array(df.loc[:,0]),np.array(df.loc[:,1]),np.array(df.loc[:,2]),s=1)\n",
"plt.show()"
]
}
],
"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": "3.6.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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