{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Streamplot of a linear system\n", "\n", "Find more tutorials on my webpage: [yairmau.com](http://yairmau.com).\n", "\n", "End product:\n", "
\n", " \"linear\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## import stuff" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import sympy as sp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## customize figure" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/yairmau/anaconda3/lib/python3.6/site-packages/matplotlib/cbook/deprecation.py:106: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance. In a future version, a new instance will always be created and returned. Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n", " warnings.warn(message, mplDeprecation, stacklevel=1)\n" ] } ], "source": [ "plt.ioff()\n", "fig = plt.figure(1, figsize=(10,7)) # figsize accepts only inches.\n", "fig.subplots_adjust(left=0.10, right=0.97, top=0.82, bottom=0.10,\n", " hspace=0.02, wspace=0.02)\n", "ax = fig.add_subplot(111)\n", "\n", "params = {'backend': 'ps',\n", " 'axes.labelsize': 22,\n", " 'legend.fontsize': 16,\n", " 'legend.handlelength': 2.5,\n", " 'legend.borderaxespad': 0,\n", " 'xtick.labelsize': 22,\n", " 'ytick.labelsize': 16,\n", " 'font.family': 'serif',\n", " 'font.size': 22,\n", " # Times, Palatino, New Century Schoolbook,\n", " # Bookman, Computer Modern Roman\n", "# 'font.serif': ['Times'],\n", " 'ps.usedistiller': 'xpdf',\n", " 'text.usetex': True,\n", " # include here any neede package for latex\n", " 'text.latex.preamble': [r'\\usepackage{amsmath}',\n", " ],\n", " }\n", "plt.rcParams.update(**params)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## define system of equations\n", "\n", "$$\n", "\\frac{dx}{dt} = ax + by\\\\\n", "\\frac{dy}{dt} = cx + dy\n", "$$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# parameters as a dictionary\n", "p = {'a': -1.0, 'b': +0.2,\n", " 'c': +1.2, 'd': -1.5}\n", "\n", "# the equations\n", "def system_equations(x,y):\n", " return [p['a'] * x + p['b'] * y,\n", " p['c'] * x + p['d'] * y,\n", " ]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## streamplot configuration" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "min_x, max_x = [-1, 1]\n", "min_y, max_y = [-4, 4]\n", "div = 50\n", "X, Y = np.meshgrid(np.linspace(min_x, max_x, div),\n", " np.linspace(min_y, max_y, div))\n", "\n", "density = 2 * [0.80]\n", "minlength = 0.2\n", "arrow_color = 3 * [0.5]\n", "ax.streamplot(X, Y, system_equations(X, Y)[0], system_equations(X, Y)[1],\n", " density=density, color=arrow_color, arrowsize=2,\n", " linewidth=2, minlength=minlength)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## nullclines\n", "\n", "Plot the nullclines, i.e., the curves for which the right-hand side of the differential equations is zero.\n", "$$\n", "\\frac{dx}{dt} = 0 = n_1(x,y) = ax + by\\\\\n", "\\frac{dy}{dt} = 0 = n_2(x,y) = cx + dy\n", "$$" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "null_0 = ax.contour(X, Y, system_equations(X, Y)[0],\n", " levels=[0], colors='black', linewidths=3)\n", "null_1 = ax.contour(X, Y,system_equations(X, Y)[1],\n", " levels=[0], colors='blue', linewidths=3)\n", "n0 = null_0.collections[0]\n", "n1 = null_1.collections[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## eigenvectors" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "a, b, c, d = sp.symbols('a b c d')\n", "Jacobian = sp.Matrix([[a, b],[c, d]])\n", "ev1 = sp.lambdify((a, b, c, d), list(Jacobian.eigenvects())[0][2][0][0], dummify=False)\n", "ev2 = sp.lambdify((a, b, c, d), list(Jacobian.eigenvects())[1][2][0][0], dummify=False)\n", "eigen_vec = 100 * np.array([[ev1(**p), 1.0],\n", " [ev2(**p), 1.0]])\n", "\n", "eigen_0, = ax.plot([eigen_vec[0, 0],-eigen_vec[0, 0]],\n", " [eigen_vec[0, 1],-eigen_vec[0, 1]],\n", " color='red', lw=2, ls=\"--\")\n", "eigen_1, = ax.plot([eigen_vec[1, 0],-eigen_vec[1, 0]],\n", " [eigen_vec[1, 1],-eigen_vec[1, 1]],\n", " color='orange', lw=2, ls=\"--\")\n", "dash = (10, 7, 10, 7)\n", "eigen_0.set_dashes(dash)\n", "eigen_1.set_dashes(dash)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## some labels, legend, and text" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax.set_ylabel(r\"$y$\", rotation='horizontal')\n", "ax.set_xlabel(r\"$x$\", labelpad=5)\n", "ax.legend([n0, n1, eigen_0, eigen_1],\n", " [r'$dx/dt=0$', r'$dy/dt=0$',\n", " \"eigenvector 1\", \"eigenvector 2\"],\n", " loc=\"lower right\",\n", " frameon=True, fancybox=False, shadow=False, ncol=2,\n", " borderpad=0.5, labelspacing=0.5, handlelength=3, handletextpad=0.1,\n", " borderaxespad=0.3, columnspacing=2, framealpha=1.0)\n", "ax.text(-1.0, 4.3, (r\"$\\frac{d}{dt}\\begin{pmatrix}x\\\\y\\end{pmatrix}=$\"\n", " r\"$\\begin{pmatrix}a&b\\\\c&d\\end{pmatrix}\\cdot$\"\n", " r\"$\\begin{pmatrix}x\\\\y\\end{pmatrix}$\"))\n", "ax.text(0.1, 5.0, r\"$a={:.1f}\\qquad b={:.1f}$\\\\\".format(p['a'], p['b']))\n", "ax.text(0.1, 4.3, r\"$c={:.1f}\\qquad d={:.1f}$\\\\\".format(p['c'], p['d']))\n", "ax.axis([min_x, max_x, min_y, max_y])\n", "fig.savefig(\"./figures/linear-system.png\", resolution=300)\n", "plt.draw()\n", "fig\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }