classical_dynamical_systems/henon_map.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "80ed7532",
   "metadata": {},
   "source": [
    "# Hénon map\n",
    "\n",
    "[![Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/brainpy/examples/blob/main/classical_dynamical_systems/henon_map.ipynb)\n",
    "[![Open in Kaggle](https://kaggle.com/static/images/open-in-kaggle.svg)](https://kaggle.com/kernels/welcome?src=https://github.com/brainpy/examples/blob/main/classical_dynamical_systems/henon_map.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccbf1b24",
   "metadata": {},
   "source": [
    "The Hénon map is a discrete-time dynamical system. It is one of the most studied examples of dynamical systems that exhibit chaotic behavior. The Hénon map takes a point $(x_n, y_n)$ in the plane and maps it to a new point\n",
    "\n",
    "$$\n",
    "\\begin{cases}x_{n+1} = 1-a x_n^2 + y_n\\\\y_{n+1} = b x_n.\\end{cases}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7acaaa89",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-22T05:43:16.157699600Z",
     "start_time": "2023-07-22T05:43:15.139808300Z"
    }
   },
   "outputs": [],
   "source": [
    "import brainpy as bp\n",
    "import brainpy.math as bm\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-22T05:43:16.173508100Z",
     "start_time": "2023-07-22T05:43:16.159812200Z"
    },
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'2.4.3'"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bp.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d6301a3e",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-22T05:43:16.220388600Z",
     "start_time": "2023-07-22T05:43:16.173508100Z"
    }
   },
   "outputs": [],
   "source": [
    "class HenonMap(bp.DynamicalSystem):\n",
    "  \"\"\"Hénon map.\"\"\"\n",
    "\n",
    "  def __init__(self, num, a=1.4, b=0.3):\n",
    "    super(HenonMap, self).__init__()\n",
    "\n",
    "    # parameters\n",
    "    self.a = a\n",
    "    self.b = b\n",
    "    self.num = num\n",
    "\n",
    "    # variables\n",
    "    self.x = bm.Variable(bm.zeros(num))\n",
    "    self.y = bm.Variable(bm.zeros(num))\n",
    "\n",
    "  def update(self):\n",
    "    x_new = 1 - self.a * self.x * self.x + self.y\n",
    "    self.y.value = self.b * self.x\n",
    "    self.x.value = x_new"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "dca82373",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-22T05:43:16.220388600Z",
     "start_time": "2023-07-22T05:43:16.189140800Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)\n"
     ]
    }
   ],
   "source": [
    "map = HenonMap(4)\n",
    "map.a = bm.asarray([0.5, 1.0, 1.4, 2.0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "07cba40a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-22T05:43:16.373052700Z",
     "start_time": "2023-07-22T05:43:16.220388600Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a8a1c133ee2b4f40a4bb735bc54c72e5",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/10000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "runner = bp.DSRunner(map, monitors=['x', 'y'], dt=1.)\n",
    "runner.run(10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6dbda68a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-22T05:43:16.813724900Z",
     "start_time": "2023-07-22T05:43:16.373052700Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 600x1600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, gs = bp.visualize.get_figure(4, 1, 4, 6)\n",
    "for i in range(map.num):\n",
    "  fig.add_subplot(gs[i, 0])\n",
    "  plt.plot(runner.mon.x[:, i], runner.mon.y[:, i], '.k')\n",
    "  plt.xlabel('x')\n",
    "  plt.ylabel('y')\n",
    "  plt.title(f'a={map.a[i]}')\n",
    "  if (i + 1) == map.num:\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "99747810",
   "metadata": {},
   "source": [
    "The strange attractor illustrated above is obtained for $a=1.4$ and $b=0.3$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1ba06331",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-22T05:43:17.003617400Z",
     "start_time": "2023-07-22T05:43:16.813724900Z"
    },
    "lines_to_next_cell": 0
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "320221423b994135a45cc68f74e545d3",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/10000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "map = HenonMap(1)\n",
    "map.a = 0.2\n",
    "map.b = 0.9991\n",
    "\n",
    "runner = bp.DSRunner(map, monitors=['x', 'y'], dt=1.)\n",
    "runner.run(10000)\n",
    "plt.plot(runner.mon.x[:, 0], runner.mon.y[:, 0], ',k')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.xlim([-5, 5])\n",
    "plt.ylim([-5, 5])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "7a3859e7",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-22T05:43:17.184854900Z",
     "start_time": "2023-07-22T05:43:17.005618Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "bb2e8ba906414c6094781f5b57973f0a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/10000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "map = HenonMap(1)\n",
    "map.a = 0.2\n",
    "map.b = -0.9999\n",
    "\n",
    "runner = bp.DSRunner(map, monitors=['x', 'y'], dt=1.)\n",
    "runner.run(10000)\n",
    "plt.plot(runner.mon.x[:, 0], runner.mon.y[:, 0], ',k')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.show()"
   ]
  }
 ],
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