{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "NonLinearGraph.ipynb",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
""
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "KYk_ViRYoLNP"
},
"source": [
"# 非線形な漸化式\n",
"\n",
"X[n+1] = a * X[n] ( 1 - X[n] ) の振る舞いをグラフで確認\n",
"\n",
"X[0] = 0.2 として a の値を変化させながら・・・"
]
},
{
"cell_type": "code",
"metadata": {
"id": "btt9QJKWNmun"
},
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"# 配列の初期化\n",
"n = list(range(100))\n",
"X = [0]*100\n"
],
"execution_count": 23,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "GBTsFRSRkfJ0",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"outputId": "ceb9639f-3e58-4e9d-f37f-0192d68ee204"
},
"source": [
"X[0] = 0.2\n",
"a = 0.6\n",
"\n",
"for i in range(1,100):\n",
" X[i] = a * X[i-1] * (1.0 - X[i-1])\n",
"\n",
"plt.plot(n, X)\n",
"plt.show()"
],
"execution_count": 24,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
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