{ "cells": [ { "cell_type": "markdown", "id": "outer-solution", "metadata": {}, "source": [ "# Прикладные дифференциальные уравнения\n", "## Занятие 8\n", "*Илья Щуров*\n", "\n", "Факультет компьютерных наук, Прикладная математики и информатика, 2021-22 учебный год\n", "\n", "[Страница курса](http://math-info.hse.ru/2021-22/Прикладные_дифференциальные_уравнения)" ] }, { "cell_type": "markdown", "id": "corporate-reservoir", "metadata": {}, "source": [ "## Система Лоренца" ] }, { "cell_type": "markdown", "id": "certified-gathering", "metadata": {}, "source": [ "\n", "\\begin{align}\n", "\\frac{\\mathrm{d}x}{\\mathrm{d}t} &= \\sigma (y - x), \\\\[6pt]\n", "\\frac{\\mathrm{d}y}{\\mathrm{d}t} &= x (\\rho - z) - y, \\\\[6pt]\n", "\\frac{\\mathrm{d}z}{\\mathrm{d}t} &= x y - \\beta z.\n", "\\end{align}\n", "" ] }, { "cell_type": "code", "execution_count": 2, "id": "dying-yahoo", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from scipy.integrate import odeint\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "id": "noticed-familiar", "metadata": {}, "outputs": [], "source": [ "def lorentz(X, t, sigma, rho, beta):\n", " x, y, z = X\n", " return np.array([sigma * (y - x), x * (rho - z) - y, x * y - beta * z])" ] }, { "cell_type": "code", "execution_count": 4, "id": "cross-resolution", "metadata": {}, "outputs": [], "source": [ "trajectory1 = odeint(\n", " lorentz, np.array([1, 2, 3]), np.linspace(0, 30, 3000), args=(10, 28, 8.1 / 3)\n", ")\n", "trajectory2 = odeint(\n", " lorentz, np.array([10, 2, 3]), np.linspace(0, 30, 3000), args=(10, 28, 8.1 / 3)\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "id": "brilliant-collection", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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