|
| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "code", |
| 5 | + "execution_count": null, |
| 6 | + "metadata": { |
| 7 | + "collapsed": false |
| 8 | + }, |
| 9 | + "outputs": [], |
| 10 | + "source": [ |
| 11 | + "import math\n", |
| 12 | + "from ipywidgets import interact\n", |
| 13 | + "from pyodesys.symbolic import SymbolicSys" |
| 14 | + ] |
| 15 | + }, |
| 16 | + { |
| 17 | + "cell_type": "code", |
| 18 | + "execution_count": null, |
| 19 | + "metadata": { |
| 20 | + "collapsed": true |
| 21 | + }, |
| 22 | + "outputs": [], |
| 23 | + "source": [ |
| 24 | + "#from matplotlib.pyplot import plot\n", |
| 25 | + "#%matplotlib inline\n", |
| 26 | + "\n", |
| 27 | + "import gr\n", |
| 28 | + "from gr.pygr import plot\n", |
| 29 | + "gr.inline()" |
| 30 | + ] |
| 31 | + }, |
| 32 | + { |
| 33 | + "cell_type": "code", |
| 34 | + "execution_count": null, |
| 35 | + "metadata": { |
| 36 | + "collapsed": false |
| 37 | + }, |
| 38 | + "outputs": [], |
| 39 | + "source": [ |
| 40 | + "def rhs(t, y, p, backend=math):\n", |
| 41 | + " return [p[0]*y[1], -p[0]*y[0]]" |
| 42 | + ] |
| 43 | + }, |
| 44 | + { |
| 45 | + "cell_type": "code", |
| 46 | + "execution_count": null, |
| 47 | + "metadata": { |
| 48 | + "collapsed": false |
| 49 | + }, |
| 50 | + "outputs": [], |
| 51 | + "source": [ |
| 52 | + "odesys = SymbolicSys.from_callback(rhs, 2, 1, backend='symengine')" |
| 53 | + ] |
| 54 | + }, |
| 55 | + { |
| 56 | + "cell_type": "code", |
| 57 | + "execution_count": null, |
| 58 | + "metadata": { |
| 59 | + "collapsed": false |
| 60 | + }, |
| 61 | + "outputs": [], |
| 62 | + "source": [ |
| 63 | + "def integrate(alpha):\n", |
| 64 | + " t, y, info = odesys.integrate(10, [0, 1], [alpha], integrator='cvode')\n", |
| 65 | + " plot(t, y[:, 0])\n", |
| 66 | + " plot(t, y[:, 1])" |
| 67 | + ] |
| 68 | + }, |
| 69 | + { |
| 70 | + "cell_type": "code", |
| 71 | + "execution_count": null, |
| 72 | + "metadata": { |
| 73 | + "collapsed": false |
| 74 | + }, |
| 75 | + "outputs": [], |
| 76 | + "source": [ |
| 77 | + "interact(integrate, alpha=(.1, 1, 0.1))" |
| 78 | + ] |
| 79 | + } |
| 80 | + ], |
| 81 | + "metadata": { |
| 82 | + "kernelspec": { |
| 83 | + "display_name": "Python 3", |
| 84 | + "language": "python", |
| 85 | + "name": "python3" |
| 86 | + }, |
| 87 | + "language_info": { |
| 88 | + "codemirror_mode": { |
| 89 | + "name": "ipython", |
| 90 | + "version": 3 |
| 91 | + }, |
| 92 | + "file_extension": ".py", |
| 93 | + "mimetype": "text/x-python", |
| 94 | + "name": "python", |
| 95 | + "nbconvert_exporter": "python", |
| 96 | + "pygments_lexer": "ipython3", |
| 97 | + "version": "3.4.3" |
| 98 | + } |
| 99 | + }, |
| 100 | + "nbformat": 4, |
| 101 | + "nbformat_minor": 0 |
| 102 | +} |
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