lorenz_attractor.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "# Lorenz Attractor\n",
    "\n",
    "This is an example of plotting Edward Lorenz's 1963 `\"Deterministic Nonperiodic\n",
    "Flow\"`_ in a 3-dimensional space using mplot3d.\n",
    "\n",
    "   https://journals.ametsoc.org/view/journals/atsc/20/2/1520-0469_1963_020_0130_dnf_2_0_co_2.xml\n",
    "\n",
    "<div class=\"alert alert-info\"><h4>Note</h4><p>Because this is a simple non-linear ODE, it would be more easily done using\n",
    "   SciPy's ODE solver, but this approach depends only upon NumPy.</p></div>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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    {
     "name": "stdout",
     "output_type": "stream",
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    {
     "name": "stdout",
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      "[ 3.24787746  5.08322818 19.95989244]\n",
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 3.80877013  5.79027139 18.9383426 ]\n",
      "[ 4.00692026  6.07750638 18.65379513]\n",
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "def lorenz(xyz, *, s=10, r=28, b=2.667):\n",
    "    \"\"\"\n",
    "    Parameters\n",
    "    ----------\n",
    "    xyz : array-like, shape (3,)\n",
    "       Point of interest in three dimensional space.\n",
    "    s, r, b : float\n",
    "       Parameters defining the Lorenz attractor.\n",
    "\n",
    "    Returns\n",
    "    -------\n",
    "    xyz_dot : array, shape (3,)\n",
    "       Values of the Lorenz attractor's partial derivatives at *xyz*.\n",
    "    \"\"\"\n",
    "    x, y, z = xyz\n",
    "    x_dot = s*(y - x)\n",
    "    y_dot = r*x - y - x*z\n",
    "    z_dot = x*y - b*z\n",
    "    return np.array([x_dot, y_dot, z_dot])\n",
    "\n",
    "\n",
    "dt = 0.01\n",
    "num_steps = 10000\n",
    "\n",
    "xyzs = np.empty((num_steps + 1, 3))  # Need one more for the initial values\n",
    "xyzs[0] = (0., 1., 1.05)  # Set initial values\n",
    "# Step through \"time\", calculating the partial derivatives at the current point\n",
    "# and using them to estimate the next point\n",
    "for i in range(num_steps):\n",
    "    xyzs[i + 1] = xyzs[i] + lorenz(xyzs[i]) * dt\n",
    "#     print(xyzs[i+1])\n",
    "\n",
    "# Plot\n",
    "ax = plt.figure().add_subplot(projection='3d')\n",
    "\n",
    "ax.plot(*xyzs.T, lw=0.5)\n",
    "ax.set_xlabel(\"X Axis\")\n",
    "ax.set_ylabel(\"Y Axis\")\n",
    "ax.set_zlabel(\"Z Axis\")\n",
    "ax.set_title(\"Lorenz Attractor\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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