Created
July 17, 2014 14:31
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{ | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"metadata": {}, | |
"cell_type": "markdown", | |
"source": "# Interactive Visualization of Lorenz Equations\n\nModeled after [this post](http://jakevdp.github.io/blog/2013/02/16/animating-the-lorentz-system-in-3d/) by Jake VanderPlas" | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "code", | |
"input": "import numpy as np\nfrom scipy import integrate\n\nfrom matplotlib import pyplot as plt\nfrom mpl_toolkits.mplot3d import Axes3D\nfrom matplotlib.colors import cnames\nfrom IPython.html.widgets import interact, interactive, fixed\nfrom IPython.display import display\n\n%matplotlib inline", | |
"prompt_number": 2, | |
"outputs": [], | |
"language": "python", | |
"trusted": true, | |
"collapsed": false | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "code", | |
"input": "N_trajectories = 20\n\ndef lorenz_deriv((x, y, z), t0, sigma=10., beta=8./3, rho=28.0):\n \"\"\"Compute the time-derivative of a Lorentz system.\"\"\"\n return [sigma * (y - x), x * (rho - z) - y, x * y - beta * z]\n\n\n# Choose random starting points, uniformly distributed from -15 to 15\nnp.random.seed(1)\nx0 = -15 + 30 * np.random.random((N_trajectories, 3))\n\n# Solve for the trajectories\nt = np.linspace(0, 4, 1000)\nx_t = np.asarray([integrate.odeint(lorenz_deriv, x0i, t)\n for x0i in x0])\n", | |
"prompt_number": 3, | |
"outputs": [], | |
"language": "python", | |
"trusted": true, | |
"collapsed": false | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "code", | |
"input": "# animation function. This will be called sequentially with the frame number\ndef animate(time=0, angle=10, azimuth=30):\n\n # Set up figure & 3D axis for animation\n fig = plt.figure(figsize=(6,6))\n ax = fig.add_axes([0, 0, 1, 1], projection='3d')\n ax.axis('off')\n\n # choose a different color for each trajectory\n colors = plt.cm.jet(np.linspace(0, 1, N_trajectories))\n\n lines = [l for c in colors for l in ax.plot([], [], [], '-', c=c)]\n pts = [pt for c in colors for pt in ax.plot([], [], [], 'o', c=c)]\n\n # prepare the axes limits\n ax.set_xlim((-25, 25))\n ax.set_ylim((-35, 35))\n ax.set_zlim((5, 55))\n\n # we'll step two time-steps per frame. This leads to nice results.\n #i = (2 * i) % x_t.shape[1]\n i = time\n \n for line, pt, xi in zip(lines, pts, x_t):\n x, y, z = xi[:i].T\n line.set_data(x, y)\n line.set_3d_properties(z)\n\n pt.set_data(x[-1:], y[-1:])\n pt.set_3d_properties(z[-1:])\n\n ax.view_init(azimuth, angle)\n fig.canvas.draw()\n plt.show()\n\n#init()\n\n#animate(time=100.,view_angle=10)\nw = interactive(animate, azimuth=(-90,90,15.), angle=(0.,360.,15.), time=(1,1000,5))\ndisplay(w)\n\n", | |
"prompt_number": 4, | |
"outputs": [ | |
{ | |
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0UfLk2SUxMfbD33/7pKfIimkeNlZR3OMqtqmUZYpzYefh8Fbo8rbD01OmXKNh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NUthDNaD5pN8NHZ8MwWmPKNkpTfHb0pvoGaEoSs4A1hBQSyuJ7UpizqYlqwEli/852GOewY9opi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D/OwLn7OpDGAWPqPs6nwhkIVP5sniHwTN+8EKywazBQtqeP/9Inz8sbnGZmF/GNjYFOhiFUmC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\nCQnY1qzEtnwp2qE/cOrVB6chQzG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| |
"text": "<matplotlib.figure.Figure at 0x104823310>", | |
"output_type": "display_data", | |
"metadata": {} | |
} | |
], | |
"language": "python", | |
"trusted": true, | |
"collapsed": false | |
}, | |
{ | |
"metadata": {}, | |
"cell_type": "code", | |
"input": "", | |
"outputs": [], | |
"language": "python", | |
"trusted": true, | |
"collapsed": false | |
} | |
], | |
"metadata": {} | |
} | |
], | |
"metadata": { | |
"name": "", | |
"signature": "sha256:4187792eafc25cf2578fd3ef760f5e364766c4b9bcf06ca25d89dc75c25d94bc" | |
}, | |
"nbformat": 3 | |
} |
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