{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This is a demo of [`homogint`](https://github.com/olivierverdier/homogint), a simple Python library for integration on homogeneous spaces. The theoretical background is explained in the paper [Integrators on homogeneous spaces][paper], by [Oivier Verdier](http://www.olivierverdier.com/) and Hans Munthe-Kaas.\n", "|\n", "[paper]: http://arxiv.org/abs/1402.6981" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## General imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from homogint import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting routine:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "def plot_sphere(ax=None):\n", " if ax is None:\n", " ax = plt.gcf().add_subplot(111, projection='3d')\n", " ax.autoscale(tight=True)\n", " ax.set_axis_off()\n", " ax.set_aspect(\"equal\")\n", "\n", " u = np.linspace(0, 2 * np.pi, 100)\n", " v = np.linspace(0, np.pi, 100).reshape(-1,1)\n", "\n", " x = np.cos(u) * np.sin(v)\n", " y = np.sin(u) * np.sin(v)\n", " z = np.cos(v)\n", " ax.plot_wireframe(x, y, z, rstride=4, cstride=4, color='k', alpha=.1)\n", "\n", " return ax" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Set up the solver" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use the fourth order Rungke–Kutta–Munthe-Kaas method." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It can be described by the following *transition functions* (see [§3 in the paper][paper]):\n", "\\\\begin{align}\n", " \\theta\\_{1,0} &= \\frac{1}{2} F\\_{0} \\\\\\\\\n", "\t\\theta\\_{2,0} &= \\frac{1}{2}F\\_1 - \\frac{1}{8}[F\\_{0},F\\_1]\\\\\\\\\n", " \\theta\\_{3,0} &= F\\_2 \\\\\\\\\n", " \\theta\\_{4,0} &= \\frac{1}{6} (F\\_0 + 2(F\\_1+F\\_2) + F\\_3) - \\frac{1}{12} [F\\_0, F\\_3]\n", "\\\\end{align}\n", "\n", "[paper]: http://arxiv.org/abs/1402.6981" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "rkmk4 = RungeKutta(RKMK4())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define a simple solver function that we use to solve the examples." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def solve(vf,xs,stopping,action=None, maxit=10000):\n", " \"Simple solver with stopping condition. The list xs is modified **in place**.\"\n", " for i in range(maxit):\n", " if stopping(i,xs[-1]):\n", " break\n", " xs.append(rkmk4.step(vf, xs[-1], action=action))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sphere: quadrature" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Example from [DiffMan](https://github.com/kenthe/DiffMan/blob/master/auxiliary/examples/vfex5.m)*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We study the solution of the equation $x'(t) = ξ(t)x(t)$, where $x$ is on the sphere, and\n", "\\\\[\n", "ξ(t) = \\begin{bmatrix}0 & t & -0.4\\cos(t) \\\\ -t & 0 & 0.1t \\\\ 0.4 \\cos(t) & -0.1 t & 0\\end{bmatrix} \\in \\mathsf{so}(3)\n", "\\\\]\n", "\n", "This is equivalent to consider the problem\n", "\\\\[\n", "x'(t) = ω(t) \\times x(t)\n", "\\\\]\n", "with $ω(t) = -(0.1t,0.4\\cos(t),t)$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use a bit of a trickery here, and use instead the autonomous vector (in block notation):\n", "\\\\[\n", "\\zeta(x) = \\begin{bmatrix} \\xi(t) & 0 &0 \\\\ 0 & 0 & 1 \\\\ 0 & 0 & 0 \\end{bmatrix}\n", "\\\\]\n", "This amounts to work with the group $\\mathsf{SO(3) \\times \\mathbf{R}}$ instead." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def timedep_field(x):\n", " \"\"\"\n", " Example from Diffman manual.\n", " \"\"\"\n", " J = np.zeros([5,5])\n", " t = x[-2]\n", " J[0,1] = t\n", " J[0,2] = -.4*np.cos(t)\n", " J[1,2] = .1*t\n", " J -= J.T\n", " J[-2,-1] = 1.\n", " return J" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "xs = [np.array([0.,0,1,0,1])]\n", "dt = .02\n", "solve(time_step(dt)(timedep_field),xs,lambda i,x:x[-2]>10)\n", "axs = np.array(xs)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def plot2(axs):\n", " plt.plot(axs[0,0],axs[0,1],'o')\n", " plt.plot(axs[:,0], axs[:,1],marker='.')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEACAYAAABI5zaHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nog7y/wHHRPSMz8i6dwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.axis('equal')\n", "plot2(axs)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/olivier/anaconda/envs/python3/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n", " if self._edgecolors == str('face'):\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjwAAAI8CAYAAAD1D3GaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEKFHgkcIIYQQoef/A+7ipDsUCXk2AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(15,10))\n", "ax = plot_sphere()\n", "tot = len(xs)\n", "for i,s in enumerate([slice(0,tot//2,None), slice(tot//2,None,None)]):\n", " ax.plot(axs[s,0],axs[s,1],axs[s,2],lw=2,marker='.',color=['black','blue'][i], alpha=[1.,0.2][i])\n", "ax.view_init(50,-130)\n", "# savefig('quad.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## $\\mathsf{SO}(3)$: Quadrature" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Example from [DiffMan](https://github.com/kenthe/DiffMan/blob/master/auxiliary/examples/vfex1.m)*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The field is\n", "\\\\[\n", "\\xi(t) = \\begin{bmatrix} 0 & t & 1\\\\ -t & 0 & -t^2 \\\\ -1 & t^2 & 0\\end{bmatrix}\n", "\\\\]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def so31_field(x):\n", " t = x[3,3]\n", " xi = np.zeros([5,5])\n", " xi[0,1] = t\n", " xi[0,2] = 1.\n", " xi[1,2] = -t*t\n", " xi -= xi.T\n", " xi[-2,-1] = 1.\n", " return xi" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x0 = np.zeros([5,4])\n", "x0[:3,:3] = np.identity(3)\n", "x0[-1,-1] = 1.\n", "xs = [x0]\n", "dt = .01\n", "solve(time_step(dt)(so31_field), xs, lambda i,x: x[-2,-1] > 5)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "axs = np.array(xs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the three unit vectors of the rotation matrix:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/olivier/anaconda/envs/python3/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n", " if self._edgecolors == str('face'):\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjwAAAI8CAYAAAD1D3GaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nHoEHAAAYj8ADAACM979H2gZCyEZscQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(15,10))\n", "ax = plot_sphere()\n", "for i in range(3):\n", " ax.plot(axs[:,0,i],axs[:,1,i],axs[:,2,i],lw=2,marker='.')\n", "ax.view_init(45,80)\n", "plt.savefig('so3quad.svg', bbox_inches='tight', pad_inches=-1.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Flat space: Lorenz equation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Example from [DiffMan](https://github.com/kenthe/DiffMan/blob/master/auxiliary/examples/vfex2.m)*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the equation\n", "\\\\[\n", "(x,y,z)' = (-βx + yz, -σy + σz, -xy + ρy - z)\n", "\\\\]\n", "with the values\n", "\\\\[\n", "σ = 10 \\qquad ρ = 28 \\qquad β = 8/3\n", "\\\\]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The idea here is to use the translation group, so the infinitesimal vector field is\n", "\\\\[\n", "\\xi(x) = \\begin{bmatrix} 0 & v(x)\\\\ 0 & 0\\end{bmatrix}\n", "\\\\]\n", "where $v(x)\\in\\mathbf{R}^3$ is the Lorenz vector field above." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def lorenz(x, sigma=10, beta=8./3., rho=28):\n", " y = x[1]\n", " A = np.array([[-beta, 0, y],\n", " [0, -sigma, sigma],\n", " [-y, rho, -1]])\n", " vf = np.dot(A,x[:3])\n", " xi = np.zeros([4,4])\n", " xi[:-1,-1] = vf # translation only\n", " return xi" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "xs = [np.array([25.,0,-20,1])]\n", "solve(time_step(0.02)(lorenz), xs, lambda i,x: i > 20/.02)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "axs = np.array(xs)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/olivier/anaconda/envs/python3/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n", " if self._edgecolors == str('face'):\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjwAAAHMCAYAAADRdXIeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIYQQQlq9/wNRoaLMefNDXgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10,8))\n", "ax = fig.add_subplot(111, projection='3d')\n", "ax.plot(axs[:,0],axs[:,1],axs[:,2],marker='.')\n", "ax.plot([axs[0,0]],[axs[0,1]],[axs[0,2]],marker='o')\n", "#ax.view_init(90,120)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Isospectral Manifold: Toda flow" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An isospectral flow is an equation of the form\n", "\\\\[\n", "P' = ξ(P)P - Pξ(P)\n", "\\\\]\n", "where $P$ is symmetric and $ξ(P)$ is skew-symmetric." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We implement what is known as the *Toda flow*:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def iso_field(P):\n", " sk = np.tril(P) - np.triu(P) # skew symmetric\n", " return sk" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Random symmetric matrix as initial condition." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPwAAAD7CAYAAABOrvnfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAEUpJREFUeJzt3X2Q1PV9B/D3RxwonPSUsx5YxYcMiDTWQy1aAW+bWB5E\nhZsoDlU8rEFj0aaWWhKSyJFoDRUfOvFhRFQuGKlg54AkPGo9BpFiQKDnIGKVU8TjMMiIQdCEfPoH\nKyLc3r1/e7e7cp/3a4Zhb+/Nb7+w92b39j6/75q7Q0RiOKbQCxCR/FHhRQJR4UUCUeFFAlHhRQJR\n4UUCyVvhzWyomW0yszfNbGK+bjdfzKzezP7XzNaZ2SuFXk9rmdmTZtZoZnWHXNfNzJaZ2WYzW2pm\nxxdyja2R4e9XZWbvpe/DdWY2tJBrzIW8FN7MOgB4CMBQAH0BjDazs/Nx23nkAFLu3s/d+xd6MW3g\nKRy4vw71PQDL3L03gBfSHx+tmvr7OYD70/dhP3dfXIB15VS+HuH7A/g/d693998D+E8AI/J02/lk\nhV5AW3H3FQB2HXb1lQCq05erAYzM66LaUIa/H9CO7sOm5Kvwfw5g6yEfv5e+rj1xAM+b2RozG1fo\nxeRIqbs3pi83Aigt5GJy5DYz22BmTxzN37Jkkq/CR5jfHeDu/QAMAzDezAYVekG55Admstvb/foo\ngDMAlAFoAHBfYZfT9vJV+G0ATj3k41Nx4FG+3XD3hvTvHwCowYFvY9qbRjPrDgBm1gPAjgKvp025\n+w5PAzAD7fA+zFfh1wDoZWanm1lHANcAWJCn2845M+tiZl3Tl4sADAZQ1/yfOiotAFCZvlwJYF4B\n19Lm0v+Jfa4C7fA+PDYfN+LufzCzWwEsAdABwBPu/no+bjtPSgHUmBlw4N/0F+6+tLBLah0zmw2g\nHMCJZrYVwJ0AfgpgjpndCKAewKjCrbB1mvj7TQaQMrMyHPhWZQuAmwu4xJwwnR4rEocm7UQCUeFF\nAlHhRQJR4UUCUeFFAsnZj+XMTC//ixSIuzd5TkDWhU+fOvggDvxcfYa7Tz0883U/8izRxqrpKK26\n6UvXPYrv0Lf7O3RNtM7hjb+ms/t3H0dn7ZIm/j/7uAroWnXE1eUN/ElXtVuH0VkA2NeNz9YXnUZn\nn8elR1y3sOpVXFZ13hHXrwA/RVy9ZyydBYBni/gf9VcumENnx175yBHXra/6FcqqLj/i+n5YTx/3\nQqymswBw0ZANdPaaJTOp3Bwbm/FzWT2lD3K6q0i7k+338FFOdxVpV7ItfNanuxalzs/yJo8CHVOF\nXkFO9Ur1aDl0FOue6l3oJeRctt/DUy/INVZNP3i5KHU+jkv/arc6pQq9gpxS4b+adtS+jh21m6hs\ntoWnTnc9/MU5EWl7J6XOxkmpL15C2zhlfsZstk/p2/XpriLtVVaP8AFOdxVpl7L+Oby7LwKwqA3X\nIiI5lrPz4c3MV/iRQxpNGbjmVf7AWxKuYxQ/2IBpf0lH10/gX+BZiwvo7HO4is4CwMKHv8WH3+Sj\n9gb/dXHLovvp7H504BcBoAYVdHbHFn6w6IMz+CGrk1Z/TGdHXVjdcugQc6ZUthz63DQy9zvLOGmn\nWXqRQFR4kUBUeJFAVHiRQFR4kUBUeJFAVHiRQFR4kUBUeJFAVHiRQHI6WrvIy6ns0LnL6eNWX53s\n7cwqV/L7nF0zYCad7YjP6Gw/rKOzY/EUnQWAbjX7+HARH/3N4K/T2b/68Wv8gYfwUQCwU/by4e/8\nCR09ZsYeOvvH5/h/uLXj+9JZAKjBSDo7BEuo3CB7VaO1IqLCi4SiwosEosKLBKLCiwSiwosEosKL\nBKLCiwSiwosEosKLBKLCiwSS9b70DPa92f846i36mP7SuYnWsG0A/wbqCz66gs7ufayEX0QvPkqe\nfnCQvc2fC+E9mxyvblL/x+robK87+a3AKzCPzgKAz+3Mh498a/eMykpX0dkLxq+hs+ctSPZ+LJ9d\n2ZHO/hqXkcnM277rEV4kEBVeJBAVXiQQFV4kEBVeJBAVXiQQFV4kEBVeJBAVXiQQFV4kkJyO1u7f\nfRyVs2n8eGiSraSBZOOyK4sH8gc+mY/2rlhPZzePK+MPDKD4oe10dnunYjrbHW/T2fqdZ9DZviUb\n6SyARF+hqZsX0dmNO/ntpLuUfMIvgr+rAQAX9eTHkv/6hN+QyXsyfkaP8CKBqPAigajwIoGo8CKB\nqPAigajwIoGo8CKBqPAigajwIoGo8CKB5HS01i7hRmbXN/SmjzkNdyRaQ6LdZROMy2ICH732umfo\nbOdpOxMsAri+0yw6+yJSdLah5mt0tvM3+DWP3fAsnQWABypup7Mb7E/p7GB/kc4u+eZIOmv/zo+J\nA8AzZfyxfTm3w21zexPrEV4kkKwf4c2sHsBuAPsB/N7d+7fVokQkN1rzlN4BpNz9w7ZajIjkVmuf\n0vNvZSIiBdeawjuA581sjZmNa6sFiUjutOYp/QB3bzCzPwOwzMw2ufuKLyU+rvricscU0CnVipsT\nkabUrgNqyY03si68uzekf//AzGoA9Afw5cJ3rcr28CJCSvU78OtzU6ozZ7N6Sm9mXcysa/pyEYDB\nAPi3GxWRgsj2Eb4UQI2ZfX6MX7j70jZblYjkRFaFd/ctAJLttigiBZfT0dryhsVUbi0uoI/ZD+uS\nLaIXH02yu2yScdmqO6bS2cH3zqezAPDYpn+is2P6TKezo/fw61hcPIzOrj432XzWxG330lmv60xn\nbS0/AmuTEozL8psIJ1ZdPopMzsn4GY3WigSiwosEosKLBKLCiwSiwosEosKLBKLCiwSiwosEosKL\nBKLCiwRi7sl22aQPbOb+Lpe97NT/oo/7NK5NtI4TPtxHZ20if9wku8teUryi5VBaNSr5RQCoAb/r\n6QpcQmef6Xkjne39Lj+SvPn9ZKdg7Cvms51vTfC1fCkfvfzauXT2evycPzCAT9CFzlauzDwyeygb\nCLh7k7tR6RFeJBAVXiQQFV4kEBVeJBAVXiQQFV4kEBVeJBAVXiQQFV4kEBVeJBAVXiSQnG5Tva8b\nl1v48Lf4g56cbA32Nj9fXfwQv8fw9Z1m0dkkW0k/2ifZLP0/jJ5JZ/0G/s1+x7zLb2m9EgPp7MiT\n+e29AWA4FvJh/rQCTBhxF52dNvBHdPbbL/2MXwSAf8E0OmsDJ5PJKRk/o0d4kUBUeJFAVHiRQFR4\nkUBUeJFAVHiRQFR4kUBUeJFAVHiRQFR4kUByOlpbX3Qalevz5jv8QXslW4P35MdJt3fi90R+ESk6\nO6YPP6a6Hx3oLJBsXBZr+OiNQ26is2/5uXR2B0r5RQC4Gz/gwwm+mifhbjprFQm2v36DjwLAPWd9\nn86O8LOo3PxmviT0CC8SiAovEogKLxKICi8SiAovEogKLxKICi8SiAovEogKLxKICi8SSE5Ha5/H\npVTu7Ddm0Md85cFzEq2h/2N1dLY73qazDTVfo7Oj98yns5jER4Fku8smGZf9mx/y46RP4O/o7EjU\n0FkA6If1dPb84fzscMmYvXS2fNZiOlt70TA6CwDf/h9+l9ukY8lNafYR3syeNLNGM6s75LpuZrbM\nzDab2VIzO77VqxCRvGjpKf1TAIYedt33ACxz994AXkh/LCJHgWYL7+4rAOw67OorAVSnL1cj0fb/\nIlJI2bxoV+rujenLjUAbfGMhInnRqlfp3d0BJDhZWEQKKZtX6RvNrLu7bzezHgB2ZAourHr14OVe\nqR7oleqRxc2JSHM+ql2P3bUbqGw2hV8AoBLA1PTv8zIFL6s6L4vDi0gSxakyFKfKDn783pSfZ8y2\n9GO52QBeBnCWmW01sxsA/BTA35rZZgDfSH8sIkeBZh/h3X10hk9xEzUi8pWi0VqRQOzAC+05OLCZ\nj/KZVLYEO+njPvLjCYnW0ftOfjSzfucZdLbDsX+gs4uL+XHLceBHZQFgJQbS2bfAjwNvRF86Wwd+\n3Pm3OJHOAsBOlNDZRe9cQWcnn96RzlaV01HYLcn6dN01j9PZp7eN4YKndIa7N7l3rR7hRQJR4UUC\nUeFFAlHhRQJR4UUCUeFFAlHhRQJR4UUCUeFFAlHhRQLJ6a611XvGUrnvFj3IH3RIsjVUZD579wh9\nSzbS2bEbnqWzq8/tT2c3v1/WcugQI09+hs4m2fU0ye6yScZlT8b7dBYAfvkpPy77zGlX09kl/gid\ntSW30Fm8xEcB4OGrxtPZWYu4XYebnKlN0yO8SCAqvEggKrxIICq8SCAqvEggKrxIICq8SCAqvEgg\nKrxIICq8SCAqvEggOd2meqaPorJ34F76uB9sOynROvzlznw4wZkFZRWr6OyGbfx8/N7jE6wXwKyi\n6+js3fgBnX0c4+jsA7idzr786cV0FgBSnV6ksy/s4d8f5bWiv6Czp6/M+PaJR5g64DY6CwBX4Tk6\ne+bS7VTOhkDbVIuICi8SigovEogKLxKICi8SiAovEogKLxKICi8SiAovEogKLxJITkdrfT4ZPifB\ncf8x2Xr98uY27f2y1M2L6Oxy68mvoY4f47T7Et4fIxNkE4wO7xzOj/iWvLObzibZShoAbtrzeKI8\n69SirXR2EFbQ2enLv5toHV7Kf32O6TOdyj1tN2m0VkRUeJFQVHiRQFR4kUBUeJFAVHiRQFR4kUBU\neJFAVHiRQFR4kUASDFsmN/bKR6jcvfhX+pjHzNiTaA1lpfzusht39qWzg53fTdXWJhiX5TdeBQBM\nGHEXnZ2Eu+lsyZi9dHby0/x46BLnviY+l2R32WFYTGdfv/o8Ovvk3L+nszeUP0VnAWAQltLZjvg0\n0bGb0uwjvJk9aWaNZlZ3yHVVZvaema1L/xra6lWISF609JT+KQCHF9oB3O/u/dK/+P9WRaSgmi28\nu68AsKuJT/HP4UTkKyPbF+1uM7MNZvaEmR3fpisSkZzJpvCPAjgDQBmABgD3temKRCRnEr9K7+4H\n32jLzGYA+GWm7PqqXx283D3VG91TvZPenIi0YFdtHXbV1rUcRBaFN7Me7t6Q/rACQMZbKqu6POnh\nRSShE1Ln4ITUF9tG1U+ZnTHbbOHNbDaAcgAnmtlWAJMBpMysDAderd8C4OY2WLOI5EGzhXf30U1c\n/WSO1iIiOabRWpFAcjpa2w/rqdxJqz/mD7om2RouGM//gS4ln9DZJd/kt4u1Sfxo7eXXzqWzADBt\n4I/4dVTw6yifxc9TVfEbwMKW3MKHAVQfx+dvGvAfdDbJuOxkTKGzk/BvdBYA1nx0Pp29t5gbQf/v\nZj6nR3iRQFR4kUBUeJFAVHiRQFR4kUBUeJFAVHiRQFR4kUBUeJFAVHiRQMw9wY6qSQ5s5qv8XCr7\nAG6njzsRUxOt47wFr/NhbhIYAGDDE/y7beejc4ZfwYcBLMEQOvvEG7fSWa/kdzGz2xP8W7zGRwFg\n6k9uo7MTl/+Mzq4qL6Ozn6ITnS1f/gqdBYBB5fyutRv3c7sqf3jsKXD3Ju9APcKLBKLCiwSiwosE\nosKLBKLCiwSiwosEosKLBKLCiwSiwosEosKLBKLCiwSS01l6H0xmL+bX8MPJkxKtYzgW0tmL1m+g\ns7PLRiRaB+uzBHPbAHAhVtPZEuyks9/HPXQ2yaz5w/vH01kA+G2HEjp75ib+pIVBffgZ9iRbSV9Q\nvJbOAsBWnEpn67ecTeXsTGiWXkRUeJFQVHiRQFR4kUBUeJFAVHiRQFR4kUBUeJFAVHiRQFR4kUBy\nOlo7ymdS2TldK+njrviYH3MEkm3jfNc7U+is13eks9Xlo+hs5co5dBYAbOBkOjvCz6KzO1BKZ1dt\nu5jO+qLOdBYA0JOPjhk8nc6+jx50tgLz6Ozk/fzXEADsfPcUOmv/THZ1nmm0VkRUeJFQVHiRQFR4\nkUBUeJFAVHiRQPJe+B21Cd7N9ShTu67QK8itj2oTvL3uUWhXbV2hl5BzBSj8pnzfZN608z5gdy2/\nBdjRSIUXkXZFhRcJJKejtTk5sIi0KNNobc4KLyJfPXpKLxKICi8SiAovEogKLxKICi8SyP8DvePt\n5kQZepUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#init = np.array([[-1.,1,0],[1,.5,1],[0,1,.5]])\n", "rmat = np.random.randn(20,20)\n", "init = rmat + rmat.T\n", "plt.matshow(init)\n", "plt.savefig('matinit.png', bbox_inches='tight', pad_inches=0)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from homogint.homogint import trans_adjoint\n", "Ps = [init]\n", "dt = .25\n", "solve(time_step(dt)(iso_field), Ps, lambda i,x: i>30/dt, action=trans_adjoint)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The flow does not change the eigenvalues (hence the name *isospectral flow*)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEKCAYAAAAb7IIBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy.linalg as nl\n", "eigenvalues = [np.sort(nl.eigvals(P)) for P in Ps]\n", "aeigenvalues = np.array(eigenvalues)\n", "deig = aeigenvalues - aeigenvalues[0]\n", "plt.plot(deig)\n", "plt.title(\"eigenvalue drift\")" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPwAAAD7CAYAAABOrvnfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.html.widgets import interact\n", "def view_matrix(i):\n", " plt.matshow(Ps[i])\n", "interact(view_matrix, i=(0,len(Ps)-1,1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The flow is a continuous version of the [QR algorithm](http://www.wikiwand.com/en/QR_algorithm), so it almost converges towards a diagonal matrix (*almost* because there is no shift and deflations)." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPwAAAD7CAYAAABOrvnfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n5P8BzSCt1e3lcTMAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.matshow(Ps[-1])\n", "plt.savefig('matfinal.png', bbox_inches='tight', pad_inches=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Airy Equation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Example from [Lie Group Method](http://www.damtp.cam.ac.uk/user/na/NA_papers/NA2000_03.pdf)*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We solve the equation\n", "\\\\[\n", "x'' + tx = 0\n", "\\\\]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is reformulated as\n", "\\\\[\n", "(x,v)' = \\begin{bmatrix} 0 & 1\\\\ -t & 0\\end{bmatrix} (x,v)\n", "\\\\]" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def airy_field(x):\n", " mat = np.zeros([4,4])\n", " mat[0,1] = 1.\n", " mat[1,0] = -x[-2]\n", " mat[-2,-1] = 1 # time\n", " return mat" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We solve it with initial condition $x(0) = 1.$, $x'(0) = 0$." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x0 = np.array([1.,0,0,1])\n", "xs = [x0]\n", "dt=.05\n", "solve(time_step(dt)(airy_field), xs, stopping=lambda i,x: i>100/dt)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "2002" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(xs)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3YAAAE4CAYAAAAXYGG4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n8kesYQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(15,5))\n", "axs = np.array(xs)\n", "plt.plot(axs[:,-2],axs[:,0])\n", "#plot(axs[1900:,-2],axs[1900:,0],marker='.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can compute the exact solution using the `airy` function in `scipy.special`." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from scipy.special import airy\n", "from scipy.linalg import solve as linsolve" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# taken from the DiffMan examples\n", "tstart = 0\n", "m =np.array([airy(tstart)[0], airy(tstart)[2], -airy(tstart)[1], -airy(tstart)[3]]).reshape(2,-1)\n", "c = linsolve(m, np.array([1.,0]))\n", "\n", "# Computes the 'true' solution:\n", "ts = np.linspace(90,100,1000)\n", "def exact_airy(ts, c):\n", " return c[0]*np.real(airy(-ts)[0]) + c[1]*np.real(airy(-ts)[2])" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3YAAAE4CAYAAAAXYGG4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGGaAw8KOYRiGYRiGYRhmgPP/AazhIpRieaw8AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,5))\n", "skip=1800\n", "plt.plot(ts,exact_airy(ts,c),label=\"exact\")\n", "plt.plot(axs[skip:,-2],axs[skip:,0],marker='o',linestyle='',label=\"computed\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3wAAAFFCAYAAAC3/u9uAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4CMiIiIiIhpQDPiIiIiIiIgG1P8HV7AA4OF1060AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,5))\n", "error = axs[:,0] - exact_airy(axs[:,-2],c)\n", "plt.plot(axs[1:,-2],np.log10(np.abs(error[1:])))\n", "plt.title(\"$\\log_{10}(error)$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Stiefel manifold: Oja Flow" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Example from [Geometric Numerical Integration, § IV.9.2](http://link.springer.com/book/10.1007%2F3-540-30666-8)*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The *Oja flow* is given by\n", "\\\\[\n", "Q' = (I - QQ^T)A Q\n", "\\\\]\n", "for a given positive definite matrix $A$.\n", "\n", "Using the connection formula \n", "\\\\[\n", "\\langle ω,δQ \\rangle_Q = δQ Q^T - QδQ^T -QδQ^T Q Q^T\n", "\\\\]\n", "we obtain the following vector field on the Lie algebra:\n", "\\\\[\n", "ξ(Q) = AQQ^T-QQ^TA\n", "\\\\]" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [], "source": [ "D = np.diag([16.,8.,4.])\n", "A = D\n", "def oja_field(x):\n", " proj = np.dot(x,x.T)\n", " xi = commutator(A,proj)\n", " return xi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We choose a random starting point. It amounts to choose two orthogonal vectors of length one." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def normalize(x):\n", " nx = np.sqrt(np.sum(np.square(x)))\n", " return x/nx\n", "\n", "def rand_sphere_point():\n", " u,v = np.random.rand(2)\n", " phi = u*2*np.pi\n", " theta = np.arccos(2*v-1)\n", " sth = np.sin(theta)\n", " return np.array([sth*np.cos(phi), sth*np.sin(phi), np.cos(theta)])\n", "r1 = rand_sphere_point()\n", "r1_ = rand_sphere_point()\n", "r2 = normalize(np.cross(r1,r1_))\n", "x0 = np.array([r1,r2]).T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check that the chosen vectors are orthogonal:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n" ] } ], "source": [ "print(np.allclose(np.dot(x0.T,x0), np.identity(2)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Starging value:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-0.386402 -0.82594557]\n", " [-0.87228066 0.47186382]\n", " [ 0.29969974 0.30847763]]\n" ] } ], "source": [ "print(x0)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [], "source": [ "xs = [x0]\n", "dt = .1\n", "solve(time_step(dt)(oja_field), xs, lambda i,x: np.allclose(oja_field(x),0,atol=1e-7))" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "40" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(xs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The flow converges towards an invariant subspace. Here it converges towards the subspace containing the two largest eigenvalues:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ -4.37460593e-01, -8.99237582e-01],\n", " [ -8.99237582e-01, 4.37460593e-01],\n", " [ 2.15687191e-08, -1.04927383e-08]])" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xs[-1]" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/olivier/anaconda/envs/python3/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n", " if self._edgecolors == str('face'):\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjwAAAI8CAYAAAD1D3GaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axs = np.array(xs)\n", "fig = plt.figure(figsize=(15,10))\n", "ax = plot_sphere()\n", "ths = np.linspace(0,2*np.pi,200)\n", "plt.plot(np.cos(ths), np.sin(ths), np.zeros_like(ths))\n", "for i in range(2):\n", " for j in [0,-1]:\n", " ax.plot([axs[j,0,i]],[axs[j,1,i]],[axs[j,2,i]],lw=2,marker=['o','D'][j])\n", " ax.plot([0.,axs[j,0,i]],[0,axs[j,1,i]],[0,axs[j,2,i]],color=['black','red'][j])\n", " ax.plot(axs[:,0,i],axs[:,1,i],axs[:,2,i],marker='.')\n", "ax.view_init(30,0)\n", "plt.savefig('oja.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check the convergence towards the plane with largest eigenvalues." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXMAAAEKCAYAAADgl7WbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(2):\n", " plt.plot(np.log10(np.abs(axs[:,-1,i])),marker='.')\n", "plt.title(\"log10 of the z coordinate\")" ] } ], "metadata": { "gist_id": "2e2e4bf69d02872ba2f0", "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }