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@falcondai
Last active March 12, 2018 19:49
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Generating orbit diagrams for iterative maps
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"pylab.rcParams['figure.figsize'] = (10, 10)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from functools import partial"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def sample(x0, n, m, f, rej=None):\n",
" # Burn the first n points\n",
" xn = x0\n",
" for i in xrange(n-1):\n",
" xn = f(xn)\n",
" # Reject the point, e.g., if it is too large\n",
" if rej is not None and rej(xn):\n",
" return []\n",
"\n",
" # Save the next m points\n",
" xm = xn\n",
" pts = [xm]\n",
" for i in xrange(m-1):\n",
" xm = f(xm)\n",
" # Reject all subslquent points\n",
" if rej is not None and rej(xm):\n",
" break\n",
" pts.append(xm)\n",
" return pts"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"logf = lambda r, x: r * x * (1 - x)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def orbit(f, rs, k, n, m, rej=lambda x: abs(x)>10, x0_func=lambda : random.rand()):\n",
" pts = []\n",
" rss = []\n",
" for r in rs:\n",
" for i in xrange(k):\n",
" # Sample the initial point\n",
" x0 = x0_func()\n",
" xs = sample(x0, n, m, partial(f, r), rej=rej)\n",
" pts += xs\n",
" rss += [r] * len(xs)\n",
" return rss, pts"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x10d99ce10>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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NTND4XirxFkXc3wZQAxRStRoFVy7H101kmaDL532IdQiajxhXVNkSQgghLpJ3vAO44w5W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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bd5e5d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Logistic map\n",
"scatter(*orbit(lambda r, x: r * x * (1 - x), arange(0, 4, 0.01), 100, 50, 10), lw=0, marker='.', alpha=0.01)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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9VkQ90DZkEDXBqLT4MMrn0TxUq8jSomKVh1LnkTyDwfIoIDPf32QS1SrOn+rZ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iFubTmZUhVuMHBydfFihKRqbtj582ZvfKMrYj/1U5NZs5sd2rCSCFdCwtFEIltTBN1iZll1BxUI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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b766350>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Strogatz 10.2.4\n",
"g = scatter(*orbit(lambda r, x: x * exp(-r * (1 - x)), arange(-4, -1, 0.01), 10, 100, 100), lw=0, marker='.', alpha=0.01)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x10b1d6810>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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aNTVf9NXMTHLFFUv/7PTTk9///WR6ugldC81VX/CCZONGM18AfdVJzRfQ2LYt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\nJHwBALRI+AIAaNH/D+OB2KHrsUgFAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ba55910>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Strogatz 10.2.5\n",
"scatter(*orbit(lambda r, x: exp(-r*x), arange(-0.1, 10, 0.01), 10, 100, 10), lw=0, marker='.', alpha=0.01)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x10a4d9f50>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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LlFzNFZN7DJFLCPQm07jwczGtGPeHWj6sp3NycRQTrpw7yh0VxWRR+xJCnD0G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\n2ioF4hSE40SuNUnXr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M3/FxHvaNv2pSnP2/7AGGPMXfFnf1YiSC++mNGq7/qufO5LX8pI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\nHTarAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x107eb2790>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Strogatz 10.2.6\n",
"scatter(*orbit(lambda r, x: r*cos(x), arange(-0.1, 5, 0.01), 10, 100, 10), lw=0, marker='.', alpha=0.01)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x10b75ba90>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Z/+yDWaRqajQA+pFH4okni9GntGCfkPHj9RDpfMWR635Xe0ng+LDe2lqRIHBb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\n7jWW2EqGli5C2imuwOxSkEWMVT59QWtQ2t2LPlnkk7LCI67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Y+/rX4y9kfOEh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je+ERc+b7yhxexvvKHjHQTafu97KmK+9z1dmmfXLm0x5YYpvo0bVZyYOihM3TY3a61ec3PcoNcs\nETVypEa+JkzQduFCdfRfuDC+eDmmfREjppqa9O9m5ujRR8fTk83NKtybm/XvYajtd74j8j/+h7Zm\nGaQ9e/T+7NwZeX4ZD7NahpEuQgiReCSosVHrSkrx7MrLokUiDz2kL9mLL46+x3ROUq2UvS9GvUTi\n0Q5clxH3QbBm7dpro/SPYd48retatkxNPn/zG400bdsmcsst8cgHMnlyFB3bvTsy21y7Vn8eBHFR\naYqz583TdNyePSrYzj9fIyHnn6/RjxdeUKf0//xPfVEb1/e5czVCNHdufGLC6NE6nsbywETAfvxj\nTW0tW6ap0EGD9NzXXht5cN15p4omk6576ikt9P/rXzV6ZhbQ3rZNr2fbNu1D797aYpru3nv15/fe\nq8fYv1+jmDipASNd55wTpdzwHu/fr1G2yZP1uxkzolTsdddpBG33bo1SrV2r9WF79+o9NisRGCG4\nZUsU9erVK7LKwHoqvI8LF6r4bW7WmrAXXtDxf+EFPWbHjpGNhhG3yN136329+269LhMRNB5jzz6r\n0TFzX2oZii5CCJF46u/FFyPBUU7h5ZO2dIEpOkyL4jERTDvazJ0biQacRIBL5mB9l11bZj5jbRnO\nTMMImJ3aFEmegLB3r76c9+5V8WPqvvA6Vq3S469apbU/ixbpNj/9qQqiW2+NIjPGfuF//k+tDZo2\nLRIv8+Zp+nLPHhUJDQ2RQHngARU9o0fHI4edOmkErFOnuIB9/HG9B48/rn1v105bkXjROkbpzDJB\nxx6rhfNvvaXtpk2676ZN8TE74wyRe+7RFu04sH+2TQfegy5dNMXXpYv24dNPNXL4hS9of046SdvH\nH9eo4t/+rdae/e3f6nP24os6S/Ghh6JZovZEEjPb1IDPg2lR3N5/f+TH1dio4rWxUe/HDTdo+4c/\naHRv0KAoJXzSSVLTUHQRQojEX6R5aq/ScBXSIy5B5Yq+PfCARl6+8hUVU0k1ajZ4rRixuOuuKBJ0\n/fXRNnZ9mAGL+Hfs0OL2+fMPjcQljee0aZqqM7Mwr702KvBevz6q+0KuvlpF59VXHzpL0ZAUlTOg\ngLvnHm3XrdNU23336dgNGhTVMmEUcPduFQm7d+s9NNeKMzgnT45Hm+xrWrZMzUcxvTtjhvZhxgyN\nrH36qUajcMx++Uv9rqVFU3BmzPF5wnshErcV6dFD05w9eoj88IciP/qRHmf7dq19GzFC6+p27tRr\nPuKIKIVseP75uG8Z9m/z5khMicTrsjZsiGw+MPq2ZYvWeZ16qkY7TV1bc7NG1lasiNfOoe9YLUPR\nRQghFqUUyfvgI+bw3P/1X9FLddeuKHJh6mNE4otUl9JvjFhgugoFn2tWJEZaevWK0mEjRrjFH/YR\n/bWOO05fxgcOxOu+EHRHnzBBC+YnTNDz7NunaTQbO21sxCPy5JMaXXryST2WWWoIhcuIESpCRozQ\ndNqzz2oK7pxzokWZ33wzKvwW0e23b9d2+nSteTrhhGgcRo7UazQzQLdv17q27dsj49nGRq2Ne/PN\nqEbOgEJ8/foozdnYGB/DMWM01TdmjEb9FizQtqUlEtynnKLP1ymn6B9zLJHo8733RisC4H1EMSUS\nX9LpyCOjc2P0DSdUoGVH+/aaNm7fPh4Ze+wxjUy+/PKh97iWoOgihJAqAsUOijRMA+L3ffpEMxnz\nngPTiPfc464PM2AkCIXg5z4XF3+43ezZ0bnNkjPjxsUFxI4dut+xx+q+JjKDAtMUaAeBCjUj2G67\nTcXqnj1qrYDHxZ9deWUkOJYv176PH68vfBFtg0DFzHvviXzpSyoAvvQlFU/PPKNCEcHrEYnba7z5\npra9e2vky4iU9esjc9of/Si61ptv1lmX27dHETNjSGuuYeLESMTcfLMKkhtu0DHGCGZTUyQM8V6s\nWaO1eO3ba4TtqKO0xZSpeV4efzy+XA8+QyjcGxvj516yJBKVrtUTTM1Y9+56zH379J5cd12UBt+0\nSSOwdhF/rcHZi4QQUhCuWZFoaorb4GxHnE2I32OtF5K2tqPrHAi+IF1rRqKruO/qAA88oJGiBx6I\nr92IL26cgYhu+LhgOBZr43JJmO4TiUdX8Gd4PhRa3bppNKdbt/g5cKbgxx9rhObjj+MRJdsN/+qr\nVSRcfXV8DLBPaAY6e7YKpNmzVaxt3aot9hWvAWci4kxQ80wl1c7hfcVVAPC6d+2KFqXG8zU0RH9w\npqu9XBWeG+sEXasnvPGGjvMbb2hKcsgQbZHbblOhedttqY9X1UPRRQghBeESJmg74NrG9RJ1Oc2n\n2V649kHx50rx4XFffjlK+aTZYaBgxGiVq087duhLeMcOna159NHaYjrzpJM0MnPSSfEaqW7doqiO\niEZMFi3SFteHxGWcRKJaIXRjHz9e65vGj48vR4TLHOFi4HadGUbgcLkgZOfOyC8Mx//tt3W23ttv\nx/uK14fpWTSwFTn0+gx4X9HGwqxt+eqrKsL27InEmDkfuvujeMPxt8+NM0Zx4gWC63xOn65jO316\n/FlrbNRJCm0xo7icML1ICCFlJG2Gom1SabbD9J2rLstVD+aqAfO1vcCap6efjlJXCxYk12XZqU3j\nXI7YhfcY2Zk1K5oNZ08sMNeB6yXi7EM0BsUlbPr2jddIoVhsalLbgaYmNSM1aS8UsVjzNGRIZP76\n9NNa37V7dzzSNWCAColXXlGhaPqNdWb2PbjttihNh2P7L/8SjRvWziE4fnh9uPzR669rVOz116N7\nkCTSMfK0bZsKxy5d1KrBWFG8/bb6fdkLreNEhCVLon6gBYkZc2OCilYnDQ1Rsb/x9BLR9T1379bW\nRDl791aB2tSkAqxLF51M0KXLoeNTSzDSRQghZcTXWNX+X7xJ37lwGbkiGC1KWxsSz4374MvTx8gV\nvaSwT7gQtg2KF4yI4P4YUcF+PPmkioEnn4yLDzQ9xaiaSHxNRzTxxHPv2RMtO4Tmr+PGqbAbN05F\nw8CB2qL9A/YbC8hF4ufDNJ0pkm9pURHSsaO2GE0bPlyL0IcPj6cR8fowCtWlix7DiBJM+WFaD6NS\nuM3Wrfq8bN2qswl79NB2/XqdSWgmMRgwwjdjhhb5m0J6jGa+8kokUE2xv30sjAju3Rv9wcjh5Mk6\nHua+1iqMdBFCSBnxtZvIY0vhs4Zj2vHt4vmkWWhoi2CsAETiFhXduycX0tuRD7TBMC9Ns1SREYa7\ndsWL7U0aESOCM2fqC3vmzPgxb7klSmFNmRIv6l6xIrIgEInEwMCB0XbPPqti49lntXjbzNabNCkq\n5DbieNu2uHWCPUkAo4MoPiZOjFKbGNFCe4V779V+3nuvOslv3Kjt8uVRGhGjXsgZZ+gxTU0XRoxE\nov3HjYvuDQowFG1Tp2rh+umnq/fZ++/rdX7jG/EornluFi2K+7JhNPOhhyKBevvtUbH/RRdFQhAj\nghh1/PDDKHK4YYOKZFN/V6tQdBFCSBnxtW3IY0uBosnloWUfH0WUMT61QRF055360hYRuemm6GVr\nC4mkPrW0xC0E7L4YQYVrQG7eHNUIobAbODASc9OnR+sq4jExPbtjR3RMkXiEafr0aKYnmr/iMkI4\nc2/YsEgM4PX94Q+RdUK/fskz8kTi3lm4NiUKz6amyDrhuedUhGzapClIM4YffBClEV3gEkT2TFZM\nQ9peWWbW4KxZKsBM7RnOrtywQQWl7QmXZMorEh9DLNAfNUqF2ahR8fouTEfaNXndu0dO+LXu0SVC\n0UUIqXPyuMBXa19QcNxyS7KHln0uXEz5iiuSI2UYcTB1WvPnu004UUikRT4QfHG//XYUoerRI4p8\nvP56fFkZI6IwMjNiRHR9WGB/223RNlOnxovnMdWFtVhXXRW50xuh2b9/PCJ1zTXRNezapf3ctSue\n5rQjkPaqAOZ8aM2BtU2nnaaGoWZh7tZqshYvjsasZ0/dvmdP/TmaxKJlBEbKjODavTuKSD30kEbD\njAgaNkzTjMOG6bWZ+4JRTrSIEIlHOh98MLKA2LhRU4hLl2r62TxHpt5tzRo97vr1Kgg3bIjq1NCz\nq5ah6CKE1DU+LvA2lRJqpfSlNVweWva5bDNRkUNd7/FF/7nPqTgS0b8bMYZCIsmOQsTtxyQSj5Rd\neWXU95tvjlJguMA2zn7DlzkW1R9zTCQA0lKbCxdG58YI4eLFKtQWL46LtOnToyJwTCPu2aN1WHv2\nxAVHr17RuJrxSXqO8HsUbd27Rw7xGAX8wx8i8bFrVzQe27dHYzZpkqbuJk3Sc7iK3vHeoIBeuDCq\npcKateHDI2H3/vu6n1neyGAv+3TCCZER7HvvRcv3fPihjlvv3nEzV+zHddfpTM7mZo3+mWWEcOmq\nWoaiixBS15RSO1UucWS/dPFFWi5h51pj0b5uu8jbgNfqGisUY716Rf12Lc7tspsQ0dSXSfFh39FY\ndNiwKNUlEr2cMe31rW9FxqPnnBMJCfvljM7u+HJHk9G1a6NjLVig+5nZfUkeaDjbzhaq+LzYY5s0\nbigK0SEeI3ZYb4Ui+ze/iVJ3dloOny88x6JF0b3ZsUPF0o4d8UjSli16jL5947YU27ereer27Yce\nE0GhfNxxkZAcPVpr5/7hH0S++12NOH73u1p/ZsB1N/v1q4/oFkLRRQipa0qpnSrX2ou2eMOX0ZQp\nycLOXsA6izCzhRweF1+SPkILsRcDx8Wrk85tF5RjVMmsy7huXTxFiGLJRKQef1zFhojOdjTRkQED\nVBwZu4p169wiD8XVggVRGhIjYhdeGB0L75FJKZrrwPEzs+1QSNv1dZiutSNzSdjWEEn1VihU0VPs\n6KPjxqMuOw5MT2LK+Ve/isb/n/9Zx2vDhkgEjRunAu/VV3VffL7s+402Ebgk1MKF+vPmZl1m6dVX\ntcU0rklp9usXj5hhWvqqq5LHrxag6CKEEItyrb1oe2VhlAJTUShYbFGTFClxCTDXOoONjfFrwn65\nfL5c128XzJvIjB29QeyXqolK2ZGypOL3OXOiMcPan6uuitKfDQ1RP+yXM4orHB90j29o0OLuhoa4\nYLCfA/N5716NQI0bFxdpe/bElyDCAvGnntJC96ee0uiOiIoXFGMiKnBOPDFeb4U2Gz17RhMicAHw\ne++N+3S5xDT2F1POGBHEyBoW3nfsqPds+vS4wDTPsgGFNdbOffSRjsFHH2kK1yy9NG1aFM1EOwns\n65o1mj4dPJiiixBCDguypgTtNelchdW4zqERLPiytMWYjyByFdjb/cJ0oavWyxU1efHF5GJvW/ig\n2MT6IuM/deKJ8f1t53jTf0wPuq4H65FE4hE0FBY33KDb3X67Ci4zVmY9RSMYDDgeN96o57rxRl0r\n0QiGV1/VbY1oxL5g2gzFxPLlUWrTzKh89934tZo04LnnquAyxf5f+UoUcROJ6p/SGDtWi9jHjtXx\nMFEljAjaRfhGON55p9Zb3X67FtSb7c84I/58mOWhjj8+Pm7NzdrX5mYVnDt2qFj+5BPd1xjPGlAA\n//CH+p1dT1Zr0ByVEEI88TU+NfiuR4igGSh+9jkWbj9vnhpW2gJFJG4M6lqH0WWgimag+D2aduIs\nNxs01cR6Idc2eD6cpYhL5uD1oKGpPSaYvrv8ct3u8svjY4WF5q5llYYP10Wihw8/dHFoBPuCNXVo\ngrpggV7nggXxtSXRMBdnXc6fr8eZPz8+/mPGaA2WWRD6jjtEvvlNbZG771aRd/fd8do7jC7iuVE4\nXn65rhRw+eWaMty9W1t7ySFcHgrHDZcd2rpV167cujVuPItgxOy73xX5/OejKGGtwkgXIeSwJWvk\nKmutl2+a0q6JyXMsg6vAXiQeGXJdk+t7n6jX/v3RH5F4FOXGG6N90D8KwYhUU1OyZ9dLL8WjU0ZM\nYTosDXRBRzGHQgQjdiecENVuzZqlwmXWLD2WSV+a9SSNB5UdZTMp0IULIxPUn/wkcvUXSTaFxRmf\nc+fGtzdgdFBEI00mgnbZZdGxMKVoF8Pj/gY0gkWj2b179fstWw6dvThnjp5jznKlsuAAACAASURB\nVJx4zdu6dXqOAwdETj1V7TFOPTU+YQHHHwUwpoBrGYouQshhS9ZZinlrvVwir1w1ZL64HOldJNVr\npYm0u+/Wz8bMEuuqcAxQKOD3KNJE4oLDnAPr5NCdHdNhtkdYkridNu1Q088kiwn0FJs3LxJ2vXpF\nwmrp0siJXSQ+tihKN22KTFDxGURXfnT4xxmfru1tryycaID378gjI8NR7B8W2CPGAf699+Ju9mjY\naluEPPyw3ruHH9ZifDNuWM/Xr1+U2kRhNm1aNP4PPBD1wxbutQrTi4SQusO1NqFNKem/PGRNT2IK\nzef7NHBMfNZVdPXVtS9+jwtWi6iQWbAgcjE3x8U0In6PIg1TbngOTIFhahOjQr5gCg3PceGFKgov\nvDCegnQZl2LBuw2uc3jOOSpuzjknnppD8YLfY5oNj4M8/LDWaj38sP4dI0N4XHSCx+cI68zwWbHd\n7HGNRQOu7SiiUbSuXbXFcXNZiZgli373u/j44/a2/1qtwkgXIaTu8I1gtWWEyQec9YepQtf3adjR\nqtZsKey+tpb+RLAQ28Y1cxK/nzYt7rVlUm4uML3lKrY315k0MxRTaAimvaZOjcYaZ57iuNpGtTjD\nD930FyzQlKiJ5pjI3JYtkRu7a41FPM6VV0bRreuui2ZH/q//pWazDz4YCScjinB8cJvzzosmBOA1\nYTQS+4TiraUlPnMS69cwdYvRtFdeSb6XadYjNEclhJAqxLZqqBayijyX27zreyStXs2VokKDU5dd\ngs857HoyW+zgjE6Dy2QUbSxcthkYycGXvE2S6J02TeTpp6MaIrwmTHvZC4Cb/qWdG1NiGKnBmjWM\nzK1dGxWgY0QHU4fvvKPf9e8fHzOcHWmDAgn7uHevnm/v3viEAFxTE8+NAhAXtb733vjMSdwH7/1L\nL8VNU00UC0W6q2awtah1rUDRRQipO2yrhlrFVQyfJiwM9svLtVyN7SaehEtcuRzpbWxvryRB7FPQ\n72OQaW+TZhhrPmPNFF7TqlWRSHjjjciqwfiD2dhjjjMCbfNXI8bw3CJRHRZ6j+HzjM7z+J+LpUvj\nfbGjjSa6hdc3ZozICy9oa447cmQ8IoXnxmforrt0m+efP3RdRIyITZ4cX0JKJOqTOZb9nJvtUeiu\nW+f3rFU7FF2EkLojLY1XLQtg5+mHK32Kx7THwBVJsguwk/AVVy5ci2Hv2JEcPXLta3twGbD2569/\njdd0+aSaXcv9YERxxw79PH9+PG2I57bHHAUSXge6zWO91sUXR4LunnuShcuuXdH5UNw0N0drFtq4\nRDr2D0Xh97+vAhMX5jZRRvMMoYdWQ4N7xqg9U9b0A4+FXnG4/Z13RkJ3xgz3ep61BEUXIaTuSEvj\nVWLR6VLw6YdLmGW1cxBxp1yzRgXTam589kHQ6POGG+IO+kng+oyufkyeHK/pchm++tSvoehYvToq\nTMe0IdZV2c+dq3Ac3eZdi4Ojcawr2tTUFO175pnqd3bmmbo/9hHNS3GscHYg9h3Tjgg+QybVuG6d\nnh9njPburf3q3VtnKJp9XMtP2bNHzfdmssD8+e4asFqDoosQcliRtZi9LfvhWjDZJSrTjukSVz79\ncK3baAs7n+vAY5k01vz58ckB11yTXOiPHlx2GtH0A4WS+XtryxzhNlg7hCIN+4dpwzTR6ooiYkrx\nT3+KiucRrMO67DL9bNLBJrqFswbnzNEomFk2CfvoYxGC14rpQrv+L6m4H81wr7pK13F8/XVtr7gi\nPj5Jwt8143TEiMiTbPHi+AzJWoWiixByWFH0jMU8/cCXZZoA8zmmS1zZgiNJ7LiOk7Y99s81Y7F3\n7/j6iSKHFlOLJBfh44vad5Fwn767zo3pNGPyecwx6aLV2Dj06KEzCg2YznSlBXGWIY6Zy/7BNii1\nzVKTQNGG140LTTc0xI1qzbnRz+z553Wdxi5ddP/p01VsTp8ev/coUHECh8uHbPPmSFi7Vi+oNSi6\nCCGkSsGXrUuA+QpIH5GXJnaSolsYOcJt7BmRPilMrDtyzTLEIvzGxkiU+MzGtMfA1XdX0b/p+7Zt\n/mlVdIVH0YXnWLUqnhZMGg8EhRIKMzv6lBadNKCQwWjawoWRLcXEiZGYw3QpjuV55+n2552nf58+\nXR3pzcLYSZEu7C+KUBwbNKfF1HItQ9FFCCEFkad43iXAyolLcOBsR8ROFyVFRNL667OoNqb70G1+\n7txkkWbPxnRFtHxmVLpm4bnEmx2BRFd4BPdHgZI2HgaX/YOdysRzdOyoY2dEkKmdQyGD26O9BUbW\nMLqFoN3E7Nlxo9VrromPTVJtmuv5QlGJzv+1DEUXIYQURNYIVVrarBIpUteyNa7aLduZ3Xy2C8hd\n/XUVVru2wdmLuA4j7mNHoVxRMLOckUhczOFxUXC4onUoPO37O3VqlD51CW4UKFOmtD4eKER8/M9E\nRG6/Xcft9tt1MoCpTTMLbw8bFt8ea+eWLEmeDIDXY7vF46zPtGhtUgRs9er4GBhRWS1lAXmh6CKE\nkILIGqFypfuyCra0qFqawWlS9Ae3x23saIVP+s2nwBu32bw5isykpVtdszYxAoc2GFgI/pOfRMdd\ntCgSHHgcHANX+szGJbixVswsYm1H31zGszjmdrQO+3j55Xrdl18eCax580S+9S297l/9SmTSpORr\nshfFNmMmEn02xzQtRuAwsiYSX3XA9P2WWyIhOG9esohtbGx9dmstQNFFCCEFkfV/667aJh98o2qu\nAn1XZMcVXbHFTtYFxH2K+NFLyhVBsUUkXofLwsFch90n240dZ+4lLQBuR28Q7CMKEfTpMqJLJG75\nsGBB6xMn7HPb92nGDJEDB+KiDQveXVFHPAfaWGCBPs5WxHU0RdTt31zH3r3RskM4wxQjYzjOOLZo\nKFvLC15TdBFCSBvjijb5LMXjIi2q5jJR9Un3+QjBtCib62euWWuY7rNrvZLSrbYthN1fjMCZzyZ9\naKwSjCByLWyN+Nba4XYoIEaOjKJvOAaYsvMxp7XP7XOf0GZix45IPLuwbSzM+L3zTiTe7HOvWqWf\n+/ePzzy0r8mIMHtCgAENZWsZii5CSE1RLY7y5aQShq1ZDGKTRINrf5cQxPuSJhJc1+qatYZmma7j\nYITON4WL6TisYbL9wvBYSYItDRRwGPlCDy2Xo/3atZFtg4mGlYrrXqKoxHUR7doyM7b2kkUGnAxg\ng9YVY8dGsxzXr4/EpsvoFp8jNJStZSi6CCE1RbU4ypeTPLMRSxGhrvO50n14XJ91GPOeG1/uPrVe\ntsjD7V11cS+9FImr446LUlpYY+Xqn0hyn+x+uAxfcfkdFBl2NMzYNsyaFTm8IyjqliyJn9vn3wmO\nIa6LiLVi9vgZawfjMSYi8uij0bJBU6fGxwGvz4hps6i2EZv29km4BF+tQdFFCKkp8giUNNoygpZn\nZlZeEepjEorRDp9Ul21fkLbodBJY59TQEAkLXKPPx1m9d293mq1Pn7jZqQE9o1BYYCG33Q8Xp5yi\nouuUU+IO+i6/KwTTizfdpGtK3nRTXJSgqBswwG3T4Yq42Ua1JsWHNh2u8cNI4aOPxvuOsz5dVhT2\nckRJKVbbayxpfcxag6KLEFJTVGrqeK1G0EoRoT71U65aLxf2CxKLurMumI0vbVtY4NI/rnP73EcU\nV0lmp/ZnnGHn0w+RuH+VSJQyXbAgOT2JghEnDTQ3q9+XSUsasAC9qcl9rViUj0XoPvV1rgkSeI+v\nvVb3N/1xTVjANK69AHjSLFGkUv/ZKhqKLkIIkfr5pe4Dvtiefjq5fspVIN7SkryeIG6fZp3gA76E\nUVjcfHPk0+U6t30fXelF19JEIsmfMe34u98l98MGa7fmzIkvxG3wMYhdsEBk0KBD90VrBnSqt68b\nI0w+BqyufwtpdiHono/i02WvgdFCl2AXyb7OZ7VD0UUIIdK25ot5UpuuF2faMfHl51rjD0mzJkjC\ntpvwXTbHgOlJtDjwWQrGvgZXegyvw5UuxDHEyFjfvvpz0xrse4G1W3gd99yT7HeFFgkI7us6H84s\nNPvgkkkmwmR7XyV5j7lq+1x2ISLu6KJrRqyrDs8W+HnEezVC0UUIIW1MHqd6V1Qi7Zj2Pklr/LlE\nm09E0I50+RToI/bizQZMueXFlT7F+jWXYHj66eSZdPbYYMTONglNIo+PG65FKRIfwx49IoFkC58k\n7zFMAbdmI5IkjpIK433r+bIK/FqDoosQQtqYrKnNtJobn2Om+Vq5zpG0L5Lm0o741HfZy+9gEXjW\naKQrvYjj4lrKx5UmxeggYo8NRviwJuyaa5LtJ/BafYr18XwtLe4xwGcB98FxFol/Thob17ltceQq\npEcwmpl1VYRahqKLEELamHI41Zd6TNex8gjBctZ0YSF9UorNxnf2Ytq6hbgOoCuF5tMXvAdYm+ba\nBoUZemX53Mebb47c3s0sx9aK9e2C96Tid9e6lGkp3DTnf0Pa2BpcEc9ahqKLEEJqjLz1Z67oUVZr\nB8SVtrJflq4ia4xwYBTEFOzbYsVlg2BH6FxF8q51I7HvSTVWWVKbduG5EWqu6CIW6zc05BOurmim\nSLIlg2uCBC4yPmNG61Ev+7guSxKXGEbsSFw9QNFFCCGHGa7oUR7bjDSR5rtkjwGjIK6okh3ZMfhG\n6OxzZHHfd11bS0tcCLpqxVyRwFdeUZHxyisaKUoq9LfPYbBtG3wXJje4oko4ecE1+zBt8odrkWzb\nxDZpbH0iZrUGRRchhLQxRRiz4jlcqa5y2WbY5qhZxUfWfvjWfflMQHBFaVxiB0XFqlVxMesq1hdJ\nrnlbsyay7zjhhEgQ4r7opI8u97Ztg8/C5Ch6XVEl9NZyOdWnzVh04bPiQdZZr7UARRchhLQxRRiz\n2udIih6VyzbDLqT3ER8+bvMorjCyk1b35bI8cL3IXZE4FDt4DhQr9hJCLu8yV7QJl7q5//5oGaAF\nC6LtcbmetCiSK33nEp4PPJA8HhgBc1k72Ng/S5o04JpQ4XOPahmKLkIIaWPyRJh8o2TlimL59MM+\nV5p5qfnsioaJRJ9tcWXEjytyJ+K2L3Cdz2WPgWLHBS5fNHVq/Gc+6Uz0AkND07Vr1QG/Tx89rrlu\nY/WQhG3TkTQeKKJcqTxXBCxNoOPPzGLaxi/MNXPS4BLo9WCMKkLRRQghbU4Ray/mOYdPKiht0Wmf\nPqVFw8xnl7jCIvU0EeqKPKUJsKS1CRHfuiMf0WtvYzzJvv51XVBaROvXXOk3VyrOZzHyPKk8O72L\nf3ctQYTjZhfbu8ajHqDoIoSQGqacLybftfiSvvfFlVbyiYaJtG7kah/fJSYwbeaKgPkIxzTh4xIT\nLlyF+/PnR63PuogibjNWu97OdW6DvbxQEnYEEv+OSyG5+oHXtGvXoZHJeoKiixBCahjfCJZPGjLr\nWnxptTt5cIkPrLHCiFRaJCerC3ra0jit7YtpPBF3xC5rxHHqVE0v4jlaG2cUPmjG6uPyjtf95pua\nAnzzTfe57AgktkuWiIwfL3LMMfF9XKJ30aJoG58UcK1B0UUIIYcBPhEcl7jKKlxsseKakeYSNS4P\nrrQUpMGOPLnO4YqA+Zh2urDH2FU8n3W2qs+6iPZxsKgfl+nxiYyiiPVZ79KeOYnp3l69WhfjeE0Y\nAfOdLVlLUHQRQshhgM/LNusaiT5pR9vywGVZ0NjYeh1QWgrSvNhtgWgX0rc2Q9KV2mxuFvn5zzXF\nZxfJG2wLDBRweLysAsJ3nBEs6n/++binWWvnxCJ3tIzI2r80XOK7lNmStUTFRFcQBNeLyFUi8t7B\nr74dhuGjlTofIYRUO0X4cbnIWkifJzJmf++zHS6BgzP3XKSl9Vz4pKtcqU0sZjepPps0qwzXLEqf\nZ6JPn2jWI1LOtQldywP5GKLa9zfNpiOpxu2OO0T+/d9Frrji0DSkoVx2Jm1NpSNdPwvD8GcVPgch\nhNQEtZQicQkle1HmJOwXpOuF6VqbsFevaOaeD2njmpRGTBJBrQkfLGZ3kWaVgfi48iPo2YVRNjsV\niilZvO7Jk+Nu9UnY45E0Zg88oILzK18Rueqq6GeYvuzdO9lrK6n2znxevFhkyxZtf/Wr1tPPtUyl\nRVdQ4eMTQkjNUEspEpdgwNTfGWe07q3l+7K0bR+y4DuueE2YQnOJNnzpYzG7z/FtXDVkPn3HyJ/L\nDw0jhddf72d3gcfyWecQHfMRe/Yi9ssnQnX11epNdvXV2QVprVFp0XVNEAR/IyJ/EZHrwjB8v8Ln\nI4SQqqUeUiQoANIK210vS1eRPOIjgnzFnOtYmEJzzVj0iUzmjcb4PBMnnCDS1KStqz4uzSDWtei0\nazKC615eeaVI166HnsN24rcjXwaXvcaiRXovbLFdS/9J8SWX6AqCYJGI9MOvRCQUke+IyC9E5Adh\nGIZBEPxQRH4mIl/Ncz5CCCFty9y5UerP11sLSVuyx97P3t+VEkyr1XIdCwXAokVR8XaPHsmpMRe+\nKeOs9gcolFxLAiH2DEKXd5nr+u64I/LjSruX5hx4fHTSF/GbCIHj9c47en0nnhi/pnr4T4pNLtEV\nhqGvddmtIvKQ64c33HDDf3+eMWOGzEibJkEIIaTN8KlTEnG/LNMiMq2dA0ER43KX/9zn/PtryJoa\n843G+Djgm+uyhaTPxALbFNYVxXJd37vvRq2PT5qIW5z69BfBcyPVUtPV1NQkTU1NZTlWJWcv9g/D\n0AzhXBF51bUtii5CCKkFinghtOVLxycNiPj2FWu3sh7LVeCNhp+lpKTwuC7bDBF3zZqPzYaPA75I\nspCcNi2KLvpG1uxxcFlqGFypw7Q1Nc1n+5gumwl7EoY5ruvc1WKOageDvv/975d8rErWdC0MgmCC\niHwqIutF5OoKnosQQgqliJmIbTnb0ScNiJSzrz7HcqU2S0lJuYSTSxDhUjW4lFFav12F6rbtg/ns\n8vjCa3WZzqZdnwuXGPZddgixrTMM+ExNmRI/btK5XTMfccxrjYqJrjAML6vUsQkhpK0posjX9YIt\n4n/6rjSgqx/Y16xRMhvX2PosTJ0XV9pSJPq8ZEm2fovEC/dtMYe2D0kRuySPL7uvWcYqCZ/7iqTd\nY9c+ti1I0jYIa7oIIYSISDEvhLacPu8b+TBgX237gqyC0afeyjey5koRYj9wGxRatg+W+eyKKtn9\nbi0S5fPZxuWBZXtoZY0S+dxXJC0S6trHfqayrH7gWqi71qDoIoSQGqBaps/7uKDbUbJyWS+0Nlsy\nCR8rC3t2X1p9WJY6LlvsmH2am1Ug9emj/l+tFa27BBv2w/bQcnmSuUSoazxd1+czIcLGdSyX6apr\neaByOPC3FRRdhBBSAxSdaklbjDqpXgexIxo+AsknGuNa+DmNNPuD1rb3mZFZSsTt5z9PXlLIVbTu\n0w9XMbqIO7WJtWmYtvS5PtvMFu+L69lxHctluuqagVnLUHQRQggRET9j0FIibuUSjHmL9V0RqrQi\ndINPzZO9DR4X++5aUiitaL010maFuiJld9wR+WO5asB8ImB2v7M+OxdeKPLWW9qmzZZs7R7VAhRd\nhBBCRMRdL4RUKuLmI3xKmVjgEgAugeOqnfOpebL3TZthmbSkUDlTyGlRwSRvrssui87tI/7SnhWX\nw79L9KK56rZt2WdL1hIUXYQQQkTEndIq58xJ17F8xJxL4KTNznMJGdf3rpo1H0GUto3PeGYd87Rt\nfKKCmJLMWi+Xlv60JyDgbFAz43HJkkNTm74p4FqGoosQQoiIuIVP0R5cPoIjzYXeB9e1omBAA89K\n2VK4julj+ZB2HB/h5EpJZhWINq46OpzVetxx7vMZqsWRvpxQdBFCCEmlnGmvUmqEkrZJMg9N6p/P\nsVw1Wlm9rtJEkKtWyacfrtl9aTNJs4pEn+J3nzGwz40iyvbpMulk9Pxavdpv4fRahaKLEEJIKj4v\n8LxRCZ96Mp9tbHyO5arRwn1di23jtaaJIJd9hKuGLM0OwpAWlXOB96mlJVnsuIrfswrYpOtO8unC\nCNg118TPaz7XS9SLoosQQkhufFN8PjPbsi5Gfc89brsJn2NlfaG7oj8+dhoira9naIOz+5A+ffRc\naTMG0/r+0kvpYkfEr9bLPrftBZZ03TjOp5yi/TjlFL9+13LUi6KLEEJISWQVD/jzJLGTp44oKz5F\n+XZ0K8l2IWmJnqQxcNlH4Aw9l3Epzu5DHnlETU8fecQtmmxw/I0wtAvpfcbM5eJv+p1k7OoSTs8/\nH7Xbt8eNarNGNqsdii5CCCEiki/i4+sr5bO0UdaoRt4lYlxpRBcugZImXLJGjERaFxznnqsu7eee\n6y9Icbvevf0WM0/CtX5kY6M7IulKv2KtF65r6RP9rDUougghhIiIX9F0KdEtxGf/rMf1Teu5cL3Q\nXVEaHJs0f7GsItY168+FKwJWTrIshG0+43jaRfJJ9wlnUWKBfb0ILYSiixBCSqBeCnsRn6Jpn9RY\nFrPSrBGj1vqdFxRRruiUb4TPtbSR63uXiakrIuizDqZIvmfVZ8KB/TM8Hy6M7ZsCrWcougghpASq\nsbC3nEIwaxTKdzzKJZBKWYcRoy4uoeKTOiy6vsh1Pt9FoEuZddjaudPA82EKNOu+1fLvqpxQdBFC\nSAlUY2Fv3heWy9YAcRVT+45H0eswuqIupdYyifhfgyv1iN+7iufLOYEgj1Au5dx2VNC1xE+WvtYL\nFF2EEFIC1VhvUvQLy0ekVQpfywcUFliw3Za4JhOIZBPNLvFmj4GPUPYRfz7b2Odz1X4VMUO1GqHo\nIoSQGsAnFZT3heWz6HQpVKL+zdeny54BV2qEy3UNpax/2FqE0Hf8fWaC2viYtIokTxpwza4sZekl\nV39LGedagqKLEEJqgCJqXbKKNl+RlqemKCv2MSudznQVxYv4p/WSlsxBKlV71dr+toVGKQtTu2Z9\nZk151kutF0UXIYTUANVY6+IraPLUFPlEPlD82SLIR7BUStT4uOEjLgHnK1rz1Jn59Ns1YzFt/LLO\n+iyXjUi1QtFFCCE1QC3VuvhGm3xepFmtK3z3R9KiVQbXNZRizOo61u7d6jC/e3f8e7SG8FkYvBRc\nx/IRaWn9yDPrsxRRWe1QdBFCCEklr1O9C58XqetF7fKoskVC3hd9a+Q1ZsXzde8uMnCgtvg9nkMk\n+9I4aJXR1CRy550iX/mKyFVXRdu4jpXnHtn4HMtVN9bY2LrdRy1A0UUIISSVrDVZ9ks4q5DxiXC4\nxI69vc+L3sd5vlK1VD7rFLrqrdKuzWWVsWeP/mzNmvj2eSJJ5YxCua71llvKY/fR1lB0EUIISSVr\nTZb9Es6aBvPZ3tWnvMX5GEGrlI8VYs+uTErFpbm/u3AZlDY0iHTtWpxtRik1dUnXWi12H3kJwjBs\n2w4EQdjWfSCEEJIdX9+mvJGuLNsbsTF1qr8YMvYFU6fq381nn0iXL0VbHuQdk3KBY+s6t8821UQQ\nBBKGYVDSvm0teCi6CCGk9rn11uRaoSLAl3YpQslXPGbFJXzKKeay9qNcojdtm3IarVYjeUQX04uE\nENIG1IvZo2HNmuRaoSJIS8W5cKW0XF5ZpeCqy8qabi3ns+JzLJ+6trRr8FkUvS1XM2hLKLoIIaQN\nqBezR8OVVxZbK4SUUldVLhNOX4+qPNYJ2CffWXwua4ldu5LtMVwu+a7xSLsGHx+ywxWKLkIIaQOq\n3ewxa4qpsTGaVdaWUTzfc5fLhNN2bPfxJ8sqErFPvrP4XE7yixYlb++KTvlYSZSyCkCllpyqdii6\nCCGkDcgz660IUeMT8XGlodoyipf33GliojXSTFbz3DPsE85E9D0m7u8SOyiu0NersbH1cfRdBQDP\nXS9mp1mh6CKEkBrDx0HdF1+vrSRcaai2jOL5njurqHRtYy9BlOd8PmzbpkJo2zaRdevczwH2y8f3\nDL/HaNo112QXi3lStGb/eql1tKHoIoSQwxhfr60kfH2lkEpH6fKuB+mqbXJt4xNFSjtfVvA4aSIP\n+2Vmd4r4jQ16YmUVnnYfEZ86OlfNWb1A0UUIITVGOethyiUGfMVOtUwgcPXXZ03HUoRqudJpviIP\nyXOPffb1vTbX0k2+QrIeoOgihJAao5brYfIIgLxRMp/9s6ZV07Bro8qN73OQ9XnBZYOuv771fe1x\nfeCByLPthBNEfv5zkfnzNSXa2jqVaWnReoCiixBCDmOqJfLkQ96+lmtZH18Rc9ttmtrbs0fkxhuT\nt8kjLColSrIuuWOPK3q2NTWJLF6sP7vpJm3T0o74s1p6Nn2h6CKEkBom74u36KL3PEXWpfTVtX8R\nUZSRI/XYI0e6t8m6mLjPvnlB+w8f7PuCnm07duh38+e7Z4ba6cUkq4t6gaKLEEJqmHJaJBRBHh+s\nUpzLXTVaruLycoqxuXNFBg5Mv1ZXnZPPfXXtWzT2M2SLtjvv1NZl2OqqnavlNLoLii5CCKlhyhmp\nKiL64/MitS0E8vTPFd3KOsOuFFzXiv1YvTq5zsnnvrr2rRS+4+/azsdWpN5NUym6CCGkhilnNMBl\ndmp+Vkkx5oqC4Eu4FEGUZp3QWqorq3+ULTbyiI+1azVC1KdPvqL/cuKbCnU9Rz62InnMaWsBii5C\nCCEi4jY7Fal8QbNLiORZs9DGJ7qFP8PUZo8e2c1U84iPhQtFnnlGZP9+kfvuSz5fEem3UqKDrufI\nlUb0Eaf1kmak6CKEEHIIWC/Uq5d+V8mISjn9oLLunyY2DT71Uy5zUF/xgUyfLrJqlbZFgyLIp6au\nTx9NcZqf+QjltPouQ9GRvCKg6CKEECIihwoOUy/kIxJ8cUU18jio5yVNJGBq04xHr16tX4OISEtL\nJNSyCog5c1TozJmT79pKwSU8XTzyiMjmzdpOnRr/mY8JrWtsWEhPCCGkbkl6+ZU7yuCTMvKJjhRV\n6J8kxnzXvsxjMlqpIvmsBrEtLRpxmzzZfZysvl72OepRXLmg6CKEkBqgXVh18AAAEzdJREFUCDd2\nl+AoJ3nSiKUs9F0uoVaKMMhjMlpOOwifVB6C14oRPuyLfS+y+HrZ5zicoOgihJAaoAg39iIo+mXr\nEmqumYn42SXSfG0N8piMutKZPv2zySPm6rGuqi2h6CKEkBqgUjP3XFTjdH0fsWP3e/durTfavTu+\nnWt2Jn4uWpy6asvyziR1iTkf4eUSyZXy06rG566ctGvrDhBCCGkd8/Ir9UXks//27VrEbl58zc3a\nVgs+12D3u3t3dYXv3j2+XWOjSBBERe5Tp2qL3+N4pJ2jXKxeLfL972uL14p9ws++4LHwWovANYau\nbarxuSsnjHQRQggREb8ZZUWTNfJh99sVkcFCdZydiZEgkWKtDOzC+6S+ihTrQu/CN13ts53ruavH\nqBdFFyGEEBGpzhllWWvR7H77eHO1ZgBaqpVBVtHgKrwv56zSctX2+QpPn+1cz90990T1eJMnqyid\nN6/t15rMQxCGYdt2IAjCtu4DIYSQ6qSIaIfxBZs6tbxiKutxfci7/mHWpY3aEiO6zjtPbSueekrk\nzDOzz5QsN0EQSBiGQSn7MtJFCCEkN7WcCsqaLvSNFlUiDZk3reeKJPlacGQlz3OBqWHjE5bFC6wa\noegihBROLb+gq4Fyjl+5juUrBrKez7V+YTmfm6yp1LasdytnWs81szMvWX3BXOB96d277SNc5YCi\nixBSONXiGVWrlHP8SjEcTcJXDGTte9r6hUm0hWu9i0o8565z29ft00fXzE4fVq9211hV44SMaoGi\nixBSOPxFnI9qHD9fIZK17z6LJyOViriVQpH3qRTxnMdryzXTUiRuwIrrTzKqTdFFCGkDqmVmHKmM\nyWWaoMF7n1X4+Dw3lYq4lSLSinzOS0kV5ulf2hJHaHHx0ktucZaFeilJoOgihJAao5xpq0oIg7T+\nlavex/USrlTErRpT4jgGdqqw0rMU05Y4wrE1qce8BfDVOP6lQNFFCCE1Rt60VbmiBq7jpPWvXPU+\neV/CtVQ87wLHwI5YupYOyjoZIe+zknX9SRfVOP6lQNFFCCE1Rt7oVLkiTKUcp1wGrL4LN2cVDXkj\naEWSNpYuQ9Ws98xnwXB7XIucQFBrUHQRQshhRrkiTK7jpL10y/XyxLqhNOGVVQBUywxJn/OljaX9\nsyyTEXxIG6d6iUpVAoouQgg5zMhTzO4TqUp76ZZLsJTTryrr9kXXF5XL1kMku+h1TbRIGydfW4vD\nkXZt3QFCCCFthxEQL77ot715oaa9NI1NQEtL/vPl6UeW7bJsP22aLu1zOERyXOPhO67bt+tySEZw\nJd173Mbn+1qGkS5CCDmMqUQqKM3DKev5il4r0CcaU84Fr322qYStRzlJuwaM0s2erd+lpaOx0L9e\nZiwiFF2EEHIYU4kC5TQPp6znc83CK2efs04O8E2T+RzLZ5tqLyJPuwb0D/NJR9e7mz1FFyGEkNyg\nECmXTYCIexZeOcn6oneJDFuMuY6F2xUtLCpRV5V2DVmXGirX7NZqJQjDsG07EARhW/eBEEJIPv7r\nv1SITJ1aey/KctlK+I5BJcYqbS3ESp87DddYJUUX7T5Va+F9EAQShmFQyr6MdBFCCCmJvBGbanmp\nZo2olDJrs5TtspBWR4f4+puVC9dYZbUeyWrqWq1QdBFCCCkJO82WtQaqEssAFbV/HsqVNsNrSKuj\nQ3z9zSpNVuuReimqp2UEIYQcZpRrKr7LOsE+vssqII/1Ql7riXJZV1T6mL7nM3V0SUIK70djo0gQ\naNuWVg0+lhO4Tb3YdDDSRQghdUI5Z9X54JM6+tzn3Okjn4iPz/qOpUStKpHiy3vMrNfhmyq0Z4Ca\nSJdI8nNQRFQp67XWS1E9RRchhNQJvi/LSs+Ys4+f54XpuiY8pikOt7cRKXYtxaLXxMRUoYi7kL61\nGaBZ3ObLRb2kC7PC2YuEEFInVEthejnJajAqEt++lmZV5plFecstWkh/5pnls+uoJOWaMdoW5Jm9\nSNFFCCGkbrBFVjW9rCuJr2VEtZPXjqMIKLoIIYQQOXxEVlEUPZ4ortAmQqR67mse0cXZi4QQQuqG\nrAtc21TLIsvV0o+iZ2Ti7Mqiz10EFF2EEEJyUy0iIS9Fv+hd41YtggOtGoqwmMDJAXjuahmPvHD2\nIiGEkNzknY1WrjRW3uMUvRbiokUiDz0ksmuXyMUXt10/XPjMEi3nTESXaWq1jEdeKLoIIYTkJu9L\nsVzu9HkFQFv6QdmCsdL98FkX0eWNhhQhiOjTRQghhBwk70sx64vbJbRqLSIye7ZIjx7FLXXjI1B9\nvNGQcgqievfvougihJDDmGqZ7Zf1xe0SWrUWESk6heYjUNtSuNaaaM4KLSMIIaQNqBaxU03+R1mo\nlvHLS9G1bPUybm1JHssIRroIIaQNqJY0SrVHFopcxqctyPoc4Hi0tESGqKtX+x2nXsatVqHoIoSQ\nNqBaxE61v4SLFqdFR4KyPgc4Hk8/rZHKPXtEFizIdpyiYGQtDkUXIYS0AUWLnVp9+RUtTosWeVmf\nAxyPzZt1/5Ej/Y9T9HNQLRHdaoGiixBCDgOq/eVXLWnEPCKviPUPcTzmzhUZOLD1vvrMWExbNDwP\nrvGs1PmqnVyO9EEQXBQEwatBEHwSBMEk62ffCoJgdRAEK4IgODtfNwkhhOQB3b2rkUo5jq9eLfL9\n72vrQ55lhO66S+Spp7QtAuxrmis8ji0us+PaxnUvSnGed42nz/nqkbyRruUi8kUR+RV+GQTB8SLy\nJRE5XkQGicjjQRA0cpoiIYS0DXkiRkWkpHwiInmEkIjI9dfn62MS2L958/Q70xaJHcHCfuHYvvhi\ntMwOCq+k8bfvRaWc513nq0dyia4wDFeJiARBYE+dPF9E7gnD8GMRWR8EwWoRmSoih4GOJYSQ+qKI\n1KRLFOY9d7mEkEv82b5XU6aI9Orlv3+5sEWMPW6teYHZ45801uWsr/M5Xz1SqZqugSLyZ/j75oPf\nEUIIqTFq2SyzsbE8ES6X+LOjSC6BWGnhaouYStyzai3WryVaFV1BECwSkX74lYiEIvKdMAwfqlTH\nCCGEVAdtaStRznPnEQM+EaI0oVO0cK1E5NB3/Kp90kZb0qroCsNwdgnH3Swig+Hvgw5+l8gNN9zw\n359nzJghM2bMKOGUhBBCiJs8YsBH/KVtUy1+aHnEn+/4VYsHXbloamqSpqamshyrLMsABUHwlIj8\nUxiGSw7+fYyI3Cki00TTiotEJLGQnssAEUIIKQKmvfLB8VPyLAOUS3QFQXCBiNwsIn1EZKeIvByG\n4bkHf/YtEfmqiBwQkflhGP7JcQyKLkIIIYTUBG0musoBRRchhBBCaoU8oiuXOSohhBBCCPGDoosQ\nQgghpAAougghhBBCCoCiixBCCCGkACi6CCGEEEIKgKKLEEIIIaQAKLoIIYQQQgqAoosQQgghpAAo\nugghhBBCCoCiixBCCCGkACi6CCGEEEIKgKKLEEIIIaQAKLoIIYQQQgqAoosQQgghpAAougghhBBC\nCoCiixBCCCGkACi6CCGEEEIKgKKLEEIIIaQAKLoIIYQQQgqAoosQQgghpAAougghhBBCCoCiixBC\nCCGkACi6CCGEEEIKgKKLEEIIIaQAKLoIIYQQQgqAoosQQgghpAAougghhBBCCoCiixBCCCGkACi6\nCCGEEEIKgKKLEEIIIaQAKLoIIYQQQgqAoosQQgghpAAougghhBBCCoCiixBCCCGkACi6CCGEEEIK\ngKKLEEIIIaQAKLoIIYQQQgqAoosQQgghpAAougghhBBCCoCiixBCCCGkACi6CCGEEEIKgKKLEEII\nIaQAKLoIIYQQQgqAoosQQgghpAAougghhBBCCoCiixBCCCGkACi6CCGEEEIKgKKLEEIIIaQAKLoI\nIYQQQgqAoosQQgghpAAougghhBBCCoCiixBCCCGkACi6CCGEEEIKgKKLEEIIIaQAKLoIIYQQQgqA\noosQQgghpAAougghhBBCCoCiixBCCCGkACi6CCGEEEIKgKKLEEIIIaQAKLoIIYQQQgqAoosQQggh\npAAougghhBBCCoCiixBCCCGkACi6CCGEEEIKgKKLEEIIIaQAKLoIIYQQQgqAoosQQgghpAAouggh\nhBBCCoCiixBCCCGkACi6CCGEEEIKgKKLEEIIIaQAKLoIIYQQQgqAoosQQgghpAAougghhBBCCoCi\nixBCCCGkACi6CCGEEEIKgKKLEEIIIaQAKLoIIYQQQgqAoosQQgghpAAougghhBBCCoCiixBCCCGk\nACi6CCGEEEIKgKKLEEIIIaQAcomuIAguCoLg1SAIPgmCYBJ8PzQIgj1BECw9+OcX+btKCCGEEFK7\n5I10LReRL4rI0wk/WxOG4aSDf76W8zx1R1NTU1t3oU3gdR9e8LoPL3jdhxeH63XnIZfoCsNwVRiG\nq0UkSPhx0nfkIIfrw8rrPrzgdR9e8LoPLw7X685DJWu6hh1MLT4VBMGpFTwPIYQQQkjV06G1DYIg\nWCQi/fArEQlF5DthGD7k2O1tERkShuGOg7Ve/18QBGPCMPwgd48JIYQQQmqQIAzD/AcJgqdE5Low\nDJdm/XkQBPk7QAghhBBSEGEYllRC1WqkKwP/3YEgCPqISEsYhp8GQXCsiIwUkXVJO5XacUIIIYSQ\nWiKvZcQFQRBsEpGTROThIAgeOfij00VkWRAES0XkXhG5OgzDnfm6SgghhBBSu5QlvUgIIYQQQtIp\n3JE+CIKGIAj+FATBqiAIHguCoGfCNoOCIHgyCILXgiBYHgTB14vuZ7kIguCzQRCsDILgjSAIvunY\n5qYgCFYHQfByEAQTiu5jJWjtuoMgmBcEwSsH/zwXBMG4tuhnufG53we3mxIEwYEgCOYW2b9K4fmc\nzwiC4K8HDZWfKrqPlcDjOe8dBMEjB/9tLw+C4PI26GZZCYLg34Ig2BIEwbKUberxd1rqddfx77RW\n7/fB7ertd5rPc579d1oYhoX+EZEbRWTBwc/fFJGfJGzTX0QmHPzcTURWicjoovtahmttJyJrRGSo\niHQUkZft6xCRc0Xkjwc/TxORF9q63wVd90ki0vPg588eLtcN2z0hIg+LyNy27ndB97uniLwmIgMP\n/r1PW/e7oOu+XkT+r7lmEdkuIh3auu85r/tUEZkgIsscP6+732me1113v9N8rvvgNnX1O83zfpf0\nO60t1l48X0R+e/Dzb0XkAnuDMAzfDcPw5YOfPxCRFSIysLAelo+pIrI6DMMNYRgeEJF7RK8fOV9E\n7hARCcPwRRHpGQRBP6ltWr3uMAxfCMPw/YN/fUFq8/7a+NxvEZFrReQ+EXmvyM5VEJ/rnici94dh\nuFlEJAzDbQX3sRL4XPe7ItL94OfuIrI9DMOPC+xj2QnD8DkR2ZGyST3+Tmv1uuv0d5rP/Rapv99p\nPtdd0u+0thBdfcMw3CKi4kpE+qZtHATBMFG1+WLFe1Z+BorIJvj7W3LoP0R7m80J29QaPteNXCki\nj6T8vFZo9bqDIBggIheEYfivUj+rNvjc71Ei0uugWfJLQRD8TWG9qxw+132riHwmCIK3ReQVEZlf\nUN/aknr8nZaVevmd1ip1+jvNh5J+p5XTMuK/STFU/W7C5s5K/iAIuomq5/khjVXrkiAIzhSRvxMN\n5R4O/ItoWt1wuPyS6iAik0RkpogcKSJ/DoLgz2EYrmnbblWcb4nIK2EYnhkEwQgRWRQEwXj+Pqtf\n+DuNv9Na26nshGE42/Wzg4Vp/cIw3BIEQX9xhCODIOggKrj+IwzD/6xEPwtgs4gMgb8POvidvc3g\nVrapNXyuW4IgGC8ivxaRz4Zh2Fr4uhbwue4TReSeIAgC0Rqfc4MgOBCG4YMF9bES+Fz3WyKyLQzD\nfSKyLwiCZ0TkBNGaqFrF57qni8iPRETCMFwbBMGbIjJaRP5SSA/bhnr8neZFHf5O86Eef6f5UNLv\ntLZILz4oIpcf/Py3IuISVP8uIq+HYfjzIjpVIV4SkZFBEAwNguAIEblY9PqRB0XkMhGRIAhOEpGd\nJv1aw7R63UEQDBGR+0Xkb8IwXNsGfawErV53GIbHHvwzXPQ/FV+rg19OPs/5f4rIqUEQtA+CoKto\ngfWKgvtZbnyue4WIzBIROVjXNEocRtE1RiDuiEY9/k4zOK+7Tn+nGZzXXae/0wxpz3lJv9MqEulq\nhRtF5N4gCK4QkQ0i8iURkSAIjhGRW8MwnBMEwXQR+YqILA+C4K+iKchvh2H4aBv0t2TCMPwkCIJr\nRORPogL338IwXBEEwdX64/DXYRj+VxAEnwuCYI2IfCgalq5pfK5bRL4nIr1E5BcH/4d0IAzDqW3X\n6/x4Xndsl8I7WQE8n/OVQRA8JiLLROQTEfl1GIavt2G3c+N5v/+viPwmCIJXRH95LwjDsKXtep2f\nIAjuEpEZItI7CIKNojM0j5A6/p0m0vp1Sx3+ThPxum6kLn6niXg95yX9TqM5KiGEEEJIAbRFepEQ\nQggh5LCDoosQQgghpAAougghhBBCCoCiixBCCCGkACi6CCGEEEIKgKKLEEIIIaQAKLoIIYQQQgqA\noosQQgghpAD+f4KenpdvcWcTAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a492a50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Strogatz 10.2.7\n",
"scatter(*orbit(lambda r, x: r*tan(x), arange(0, 1.5, 0.01), 100, 10, 10, x0_func=lambda : random.rand()*pi/2), lw=0, marker='.', alpha=0.5)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x10cf18d90>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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RGloUvo7HLrDabbO3vW12AHMMqjlo+b30kl8f/iwWTvG8QAx6jmMU4uoQxBNg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\nighXAAAAFRGuAAAAKvr/Z8d0vfxWQ04AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b771c50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Strogatz 10.2.8\n",
"scatter(*orbit(lambda r, x: r * x - x**3, arange(0, 4, 0.02), 100, 100, 10), lw=0, marker='.', alpha=0.01)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x10ecec850>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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RsM2K+P/H/4DwyuUghDIZI8Z8X2RhAYKrWhU5f96kHDWidfYs7pudhRBS9/yb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\nMAUwERERkYApgImIiIgE7P8DPfeHEkFzGNUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bb000d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Strogatz 10.6.1a\n",
"scatter(*orbit(lambda r, x: r * sin(pi * x), arange(0, 1, 1./200), 700, 300, 10), lw=0, marker='.', alpha=0.01)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x10e620ed0>"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Ge5A7e7y2Mf5nYIwx5nkpN6VHYpbmoYeAJ59knJ2lEejsbNGj6q67uL7rrmTu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\np9KaepfiXL3Nm3nO5s3Fe+12mUGScNB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D3H47I8DM1QMPpAgURRXAXqnbbmOM/labN3Ot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qyTmm5u24b9bNsWDtidmgJgnJoKF2yzsAS2ezcWxN273c+IzEaphDw4iO3BQZ+nx9dyIVaH9Kkp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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110192990>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Strogatz 10.6.1b\n",
"scatter(*orbit(lambda r, x: r * sin(pi * x), arange(0.71, 0.72, 1./10000), 1000, 100, 10), lw=0, marker='.', alpha=0.01)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 4.47021696252\n",
"2 4.63436928702\n",
"3 4.63559322034\n",
"4 4.72\n"
]
}
],
"source": [
"rs = [0.71994, 0.83326, 0.85861, 0.86408, 0.86526, 0.86551]\n",
"es = []\n",
"for i in xrange(1, len(rs)-1):\n",
" d = (rs[i] - rs[i-1]) / (rs[i+1] - rs[i])\n",
" print i, d\n",
" es.append(d)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 4.55540809555\n",
"2 4.6512345679\n",
"3 4.62857142857\n",
"4 5.0\n"
]
}
],
"source": [
"rs = [0.77773, 0.84638, 0.86145, 0.86469, 0.86539, 0.86553]\n",
"es = []\n",
"for i in xrange(1, len(rs)-1):\n",
" d = (rs[i] - rs[i-1]) / (rs[i+1] - rs[i])\n",
" print i, d\n",
" es.append(d)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.8654521739130434"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(0.8653-0.8646)/4.6+0.8653"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.lines.Line2D at 0x12c262f50>"
]
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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/ciX1lTyQa/FjXJ/nLfS55eXRR92DBW/f7vd9cs8KtcUPtcXJtbbk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\nAAAiobECAACIhMYKAAAgkv8f6fvoem47sS0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12c087a10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Find R_n by examining plots of x_n. \n",
"# 1. Set x0 = 0.5\n",
"# 2. Superstable -> no need to drop iterates, i.e., n = 0.\n",
"# 3. Check if x = 0.5 is part of the cycle. Count the size of the cycles (in fact, we can set m = 2^n + 1).\n",
"\n",
"# R_2, 4-cycle\n",
"plot(sample(0.5, 0, 16, lambda x: 3.49856*x*(1-x)))\n",
"axhline(0.5, c='red')\n",
"axvline(4, c='red')"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.lines.Line2D at 0x12c03ac10>"
]
},
"execution_count": 75,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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cq5hOVBejcxYXJz82Ru0BZqx8I9axYsbKP6E3V8kDIqVr/+KLwMWL5gbnkwh9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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12bdad490>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# R_3, 8-cycle\n",
"plot(sample(0.5, 0, 32, lambda x: 3.8008*x*(1-x)))\n",
"axhline(0.5, c='red')\n",
"axvline(8, c='red')"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.lines.Line2D at 0x12bdef910>"
]
},
"execution_count": 74,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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ef7Eec47V6Wn40NjdXf24klELkO7MMEvHWqxqYGQoB5yfh0nw8+/F0to7dzEk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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12b9c3bd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# R_3, 8-cycle\n",
"plot(sample(0.5, 0, 32, lambda x: 3.55464*x*(1-x)))\n",
"axhline(0.5, c='red')\n",
"axvline(8, c='red')"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.lines.Line2D at 0x12bb95c10>"
]
},
"execution_count": 73,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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QG1hJEdeqGyykgVXSIoEpstbZzE3zLe9RtkyOWevt2+7abtrOCEhfsdLisSrO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\npIHYWEmSJA3ExkqSJGkgfwDwEkptHo30rwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12b4fb850>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# R_4, 16-cycle\n",
"plot(sample(0.5, 0, 32, lambda x: 3.56667*x*(1-x)))\n",
"axhline(0.5, c='red')\n",
"axvline(16, c='red')"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"3.5692465688584276"
]
},
"execution_count": 99,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Estimate the next R_4 with Feigenbaum constant\n",
"(3.56667 - 3.55464) / 4.669 + 3.56667"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.lines.Line2D at 0x12cc90e50>"
]
},
"execution_count": 82,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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6C61JltSXNYlsCl249bzEj6O9Wuq0ZHvBOF5I1pkVkzU2p9CFEpu91zgm3iFc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tQmBW9HjswWqEeP8vpit/vkKeg+yCK89LIyFlllBSmvL+qqyeVCbvAm5doyxS42NnLKhdlZFmLG\nguKTaxXg8OG2929JvHIh0SdPQddBFm11Q3GaVZvk6Me4Dynz/jSCHft04bHaLhcuZywotpxlb7UK\nkGUX5C9EEGx5CroMsqgnWSgrkExt6suU5Oiz7LjeBUU7EXn0aPvve1Ztlwv55cKM8cvKcJL6guiT\np6C7IIu8mqYELNI4t5Hv9tQ07RTZWHv1Mm/Vb12+eeQRny60Tz5WOyOTRfPJPl24Gt0FWVtfpoSg\nhaabqb2+Ps5t5ITU9BjBt/cL5WcsXC4cxycTThdW7ewMZ+u+sE+ejq6DrKw9FlmfyaCsQDK1M1+m\ntSwktR8/lwuXtSltzg44s16m2YGsy4UuF27VzfLJEseWp6DLICtr4Oppoaw0LyVgqdqkwJAaWJCy\nQkNtUsYi0y4yX6YUu8j2yZklTlK5kOqTJU5gOAXdBVnZp8gy9ljQnGamdpZu1hUAUt6LOsvR16Pj\nvo08vyzkcuGxe2+ySlmkBWr2Ny0JfeFy4Wp0F2RlR8fUD75mvUwp2bcxAs6sywWpjp7QF9nBd0a5\ncIxA1uXC3LmXeSCC0hfE78lOQddBVtaerN2+Mh1q01LTmWWhjL161CCL9oFolwvHy1iQ2kwrF5L6\nwuXC1eg+yNrt5cLMUgjN0Wdc1Fe1SQFL1c6yZdI+Mgeyx9fNCrJIe/WoZWRSuXC4V49gy1PQZZCV\nebswacNiRN7em9pmlwtzMxZkR08Yv8yyQla5MMsuMj9d5Auil7UzFziUvsjMcGZuAxib7oKs7Dov\n6XShxH2ZUlbpVZu090ZiZ1kyAgCXC/N0iZeR2icfq+ty4TR0F2S5XHisNvF2YdLKhhawVG3fRu5A\n9kS6rfu4lMWHkSnlQppdZPm4rGsyst/VLhcmkR0dk1YgVTszMHS5kJexqNokW3a5cAHtdOHwc0sZ\nbT58OOe7k2SfTJh71SayvhvqcmEStXOzbvYmrUyrNullWldNlFV61SZ9CLhqk2yZlr2RFpcXU4Lv\nbHvLajPJjqs2ySfTFtTZ2mPTZZCVeYrM5cKFLu0UGfF0Ycbhgqrt04XcuUcLOLNsmWbHVTvbJxOC\noWyffKaUC7tLxGVdyCblZiyoHyOlrG6I5cJqyxE8u6CM3xiLMoq/yCyxZJYLSVmhqp3tk0lzL+td\nnfFR6ynoMpOVNTlo3y6U8gOArD0WtFU6KWCR8myZVi4cY1FGyXwTyzcbG7n73uyT83xyvWJoczPH\n3jY3218QPQXdZbIyV2M0p1m1SSu9LF3q6cLNzdmvKbZMO11Innu0hUhWm+2TF7oZPo5YBcjq4yno\nLkbMdhSkgKVqu1zIdRRkR08YvzEWZVlZFlpfuFy40Ha5cMbaWt74OchKImu/QtUmrUyrNuk2clrw\nVrVJe2+qNsmWqdkbUvBd7S1z4zstyLJPXpTbNjc5C5GsDOcUdBdkZZeFnJpe6NIyFpkn9Yh79Ui2\nnG0XtLmXYcvDlynFlml2XLVJ5cK6rykz40TxyVPQXZxILRdmny7M3HtDyDiRnWbW6UKSLWeN3xiL\nMsoCp2rTFmUkO67apDKylGvLWRvfz5Qgq8tMVv18A2XgiCdZsuv/WafIvCdroU0qs2Rlb1wuPFY7\nKzOUdTO7ffJCl2jLLhduT3dB1jC1udtLLFU7a6VAyjhl77EgHS6o2lkZTtJnToiBLPXjxVU3oq2u\nffJCl3aCOvNdfaZksrqME8dwFK11iWle2u3CtJdp7eNSWG0mzZHsF5PLhVxdsk8mtZlkF1PQXSZL\nmkXHpDpvdsaClJrOfJlmb3Cm3Dkl5Ts30gfJM0/UEcuFWbZMepnaJy+T+R1Okh+agi6DrOwUMtFp\nZpUsMoKhjJt619byvwNIc/SkskLWHKEGskRbzgws7JO5tkza6zUF3QZZWQYxfLbUJaZ5M8osGxs5\nWcgatBEznFl2MXy21CX1RWa5MMuWiQGAffKyNsknV22a73S5MJGsDq6Gm7UCcWp6oZWR5l1b463S\nsxx9li0Ty4WZJ7IkZpaFkuG0T17WJdoyySdPQddBVoZBSCynmbkXIqt8U/VbQ0tNZ5cLJc7eG9o3\nEav28NmKMS6ppbz07JMXUG2Z5JOnoMsgK9OIh8+WuuSTLBkTJDPIoqSms/dYDJ8tdUkn6rLtePhs\nqUsrF9onL2sTffLw2VKX5JOnoMsgi1j/p6Wmh6vpjP7ISPNmT2jSajrbaWZdZnn0aPsDEcQSC+2k\nbGZgMXy21LVPXpBpyySfPAXdBllZpwsl3suUmJp2uZBZLsy0t7rxtvVllsRA1uXCha5kn1x1ibZM\n8slT0G2QRctk+STLsrbLhfl2MXy21M3qC6IdD58tdYkBgH3yQtu2vNAj2dsUOMhqpEtLTdfyTevP\np1Rtny70yvR4uplzj1RiIZ4uzLoCYPhsqUv0ydm2TAo4XS5MJPPEguSbvTN1qzatXJi98Z1ky6Q9\nFsRsIfHbhXWBQ7Jjok/OtOXWF0RL/nbhKnQZZFEzWaQJnTU5JGa5cPhsqUtcmZKC+uwvAQyfLXWp\nGU5Se4k+2Vs4FrrDJxkHWY10MydH1goyM5NFO10o8cpCw2dL3Sx7yygrRMz+ySxlEbNvFH9hn7ys\n6xPfC13J5cI0Mo1Y4k0O0ucQqjatXDh8ttTNvveG9DLd3GQ6+swMJ8mWSVs4qD7ZJ74XusMnmW6D\nLJrTpO0LyQpkq7ZT0y4XbtUdPltrZy7KaC/T4bOlLskuqD7Z5cKF7vBJpssgK+tDwJnfe6NtcCaW\nCzNPF0qszbfEbxcOn621SSWLMb4EQDkQkWXHwzIyySfX/YUZ/WyfPA1dBlm0cuEYN/W21s0KZKVZ\n/zo1zQy+sz+fkuXoiYsyWrkwwyfX025ZdkHKsmQH3/bJ09BtkEWaHNT0v8uFC93hs6UuLfim9XHV\ndLlwoT18ttSl7uEk9bHLhQvd4ZPMSkFWRFwdEV+OiK9GxC3b/Lmfi4jNiHj16TSKNnBjZCxoTpO4\nwZl4iowSfLtcuKzr04XL2g6+Z3oZ3/es2vbJ03DSoYyINUnvk/QySU+TdENEXHaCP/duSZ8+3UZl\npyBpJ1kkO82q6+B7oS1x7CLTaVLtgpjhzBo/ol1k3aq/ttb2+55V2z55GlaJl58v6f5SyjdKKZuS\n7pT0yuP8ud+T9FFJ3z7tRsFq6dSMBe0y0uwvAbRuM3GvHtFpZi/KiMF3hi17UbbQHT5b6tJ8Mm3u\nTcEqQdYTJD0w+P2D85/9iIh4vKRXlVL+VNJpx+DEyUHbY5HtNLMcBekkS7Zd1BNUrXVJc0/ibdav\nG/Xrr1tCy3BWbQdZTJ/s04Unp9UUf4+k4V6t03L92bX0zNOFlDbbaS7rDp8tdTMzFpknslpr14CQ\nWBaiZAur9vDZUjfzoAzJlu2Tl3VJc28KVjGThyQ9cfD7C+Y/G/I8SXdGREj6SUkvj4jNUspdW8Vu\nu+22H/36wIEDOnDgwDF/4fq69IMfcAaOmMnKdppOTS/KyFnlQpLTrNpZurQNzplloeGzpS7RLkgB\ngH3ysu7wOSYHDx7UwYMHm+mt0jWfk3RxRFwo6ZuSrpd0w/APlFIuqr+OiDskfeJ4AZa0HGSdiPX1\n3G+ROcjKd5rEjAWtXJgZsPhlys1YDJ8tdbPu1aPZsn3ysi5p7q3C1uTPO97xjtPSO+n/QinlSETc\nJOluzcqLHyyl3BcRr5v963L71v/ktFqkRZ2XlOatGQtSmw8dkvbsaatbtYkv09a6w8sFKeXC7CwL\n0dHTXqYR7fd6ZflkKdcufvhDnk+mBbKkuTcFK5lJKeXvJF265Wd/doI/+1un26isgauOp7Xu8BMO\nFGOr+xXOPrutrpQ3oWmnC2smy+XChbbtIj+QtV0sdEkBQJYdSy4XTsmuuvE9whN6qEtMTZNOsmSW\nC7M/XeSXaZ5dZJ3IknjZQolny/bJC7JPFzrISoJYsvBJlmVtO81FGZlULsxeTZMCAOrLlJSxqNok\nW7ZPXtYlLXCmoOsgi2ZstI3vPsmy0B0+W+oSy4UZdly1s3R9unChTXqZVm2SLdsnL+uSfPIUdBlk\nUW8XHj4Jupnp/yxHQbo9fbjxnRRkDZ+ttUkBQLXhjBdIhh1X7Qxd++RxdO2TF7rDJ5kug6zsiD7z\nfhpKarreOm2nmTt2hw9LpbA++Cqx5l6WLdNe0lUzcz8kyS7skxfYJ09Ht0EWddWU9ZkMp6YXfUtJ\nTQ/tmPTB1+GztbbLhXl2LPGyhVWbZMv2yQtoPnkKHGQBdIfPlrqZqybabdZZukQ7Hj5ba2fpZmay\nSC8QB1nLusMnQdc+eUa9FslBVhLr67NTWaTU9NoaM+Vtp5nbx0Q7llhtJr5MM3SrZlYf25Zn2Ccv\n6w6frbVdLkwi69LQqknSzeqLzJp39oSmODeqHQ+fLVlbs10M9Uhzz7a8wD55WVditXlsugyyqBG9\nHcVC0xkLrh0Pn621SQEALXirmraLhe7w2buuffKx2g6yksiOjmm6kh191R0+W+tmnBbK0JV49la1\nSY6epls1bRcLXcnlwqpJ8slV0+XCJKjGRjJiYpqXdpKlfqjX9rbQJJUssjMWpLlHtgtKkGyfvIwz\nWYlkpk0zv5NlR7HQdMZiRlaQlWnHw2drbVKbacFb1SSVZCWeLdN0qybJJ1dNB1lJUCP6TCOm3L9V\nNYlOk1YKIa5MSY6epls1SaW3qk2yZQffy7rDZ2vtM6Fc2OX/QubAvec90uWXt9fNLkO2vsySfFrI\nzk264grpne9sr0vsiyxbztYlBSyZdvH2t0uXXdZel7ZAJdsFqc1js+uCrJe8pL2mlB9kZehKOZPj\n8sulc89tr0vNLGTo7t8vXXVVe11iX2Ta8jXXSHv2tNX0Xr1lrryyvaY0a+vaWs7XFobP3nUl6SlP\nYWWRq6aDrCQynWYWmWl62uR47Wvba0p5ba63C5PGLwtq6XT4bMknP9leU8oNhmjlwixofZFpx9dc\n015TcrlwFbrck5VZysqCmski9TExnZ6VsciCuDKl2jLNjqs+BZq9EQNZok8emy6DLKLTpAZZpAlN\nDQBodjx8tta2Lc+g2Zt98rLu8Nm7biZEfzE2XQdZJKeZuTLN/K4XyYiJqWlaypu4MqXaMs2OJZ4t\nk/qCasfDZ2ttkr2diK6DLJqxkaJ5ah9LrACAthojOk2qLdPsePgkQOsLYiBL9Mlj4yCrEbSXNHlC\n0/qZZsfDZ2tt2/IMmr3ZJy/rDp+962ZC9Bdj02WQRU2bkqJ54oQmfkCVuvHdtpwLrVxon7ysO3z2\nrpsJMfM9Nl0GWV6ZLuuSHEUm1ACAZsfDZ2tt2/IM2ulC++Rl3cz7t0h9TNzDOTZdDifRadLS/5mT\nI4tMu3jTm6TzzmuvS3MUxPQ/1ZYz+uK5z21/w7lknzyGLjVbOHy25MYbpUsuaa87Nl26JeKEpq5M\nSX2c2eZbbmmvKfGCLOLKtGpmBBdZZPXFpZfO/mkN0V/QfHK9FJnUx5l28frXt9ecgi7dEjFtSis3\nEZ0m1S5o7R0+W2uTXnqZUO2C1maSHWdrZ0C0i7HpsmuoadOM9l54ofSa17TXJU4OYmBI3fie0ear\nr877EDDJjiVeYGifvGD/fummm9rrSjy7IPrksenSNREHLsvRP+Yx0q23ttcl9nF19C4L5ZEZfGcs\nFiReH0sOvscgyyfv2SO9613tdSWeLROD77Hp8nVFzbKQDI04OagZC1KbiS9TWsAice2C1maaXdBs\nmWgXY9N1kEUzNlp7JdbkoPWxxGszde6R7FiyXYwBrY8lni0T7WJsHGQ1IuskSxbEPqY6TVKbfR3C\nONDaTPQXNJ8s2S7ORLo0QaqjL2XqVqwOcXLQVnkSz9FT7YLUXolny1SfTLQLUpuJFZGx6bJrqI6e\nGGSRJgfNAUm8NlPnHsmOJdvFGND6WOLZMtEuxqbL4SQOHKmtEnPjO21TqMRz9MTgm2gXtDZTfTLJ\njiWeXRDfI2PTpQkSHT3NyOw0x4HWZqpdkNorce2C1maiXZDaTLSLsemya6iOnpFWvnwAAAilSURB\nVET9hANpctAckMRrM3XukexYsl2MAa2PJZ4tE+1ibLocTmIKknRBZoXmhGjtlZz+HwOiXdDaTLQL\n2tyTeHZR20p8/41Fl0HW+vosy0IauPV1Vnsl5oQmrfIkXpuJ6X+aHUu2izGg9bHEs2ViH49Nl91D\nMzSJd7pQYl4vQLQLUptrGZnUZpodSzy7IJaFaH0s8WyZ2Mdj0+VwEgeOGGTR+tnp/3GgtZnWXoln\nyw6yxoHWZpodT0G3QRYpmpeYhkab0LT2SlxbJrWZahekNrtcOA5EuyC1dwq6NEFidExrr8RzQrT2\nSlxbJrWZaBe0NhM3vtPsWOLZBa29U9Bl9xAnx969s70sJGj9TGuvxGzzvn3SWWdN3YrVIfYxrc3E\ncuHevdLZZ0/dip1BtAtSe6eg2yCLFh2/8Y1Tt2Dn0LIsxAlNtOV775X275+6FatDs2OJZ8vEcuF1\n10nXXjt1K3YGzZZpdjwFXU4Z4sDt2zd1C3YOLQB45jOl226buhU7g2jL5503dQt2Bs2OJenmm6WL\nL566FatDzGQ96lGzf0jQbPlxj5Pe//6pW9E3XQ4n8cVEhNbP55wjveIVU7diZ9D6mAixj6+6auoW\n7AxikEWEZsvr69KrXz11K/qmy+szaXeFUKFNaCK25Xxsx/nUje+0C5dp2JbPPLqcMnv2zP4xubz0\npdL550/dijMb23I+F10kXXnl1K04s9nYmB2GoB3uofHCF0pPetLUrTAtiTLiDZoRUVb5+0qZbb59\n+tNHaJQxp0LESrfPPvjgbL/eueeO0CZjErnnHukZz5i6FcaMS0SolHLKy4sugyxjumfFIMsYYwyX\n0w2yuiwXGmOMMcbQcZBljDHGGJOAgyxjjDHGmAQcZBljjDHGJOAgyxhjjDEmAQdZxhhjjDEJOMgy\nxhhjjEnAQZYxxhhjTAIOsowxxhhjEnCQZYwxxhiTgIMsY4wxxpgEHGQZY4wxxiTgIMsYY4wxJgEH\nWcYYY4wxCTjIMsYYY4xJwEGWMcYYY0wCDrKMMcYYYxJwkGWMMcYYk4CDLGOMMcaYBBxkGWOMMcYk\n4CDLGGOMMSYBB1nGGGOMMQk4yDLGGGOMScBBljHGGGNMAg6yjDHGGGMScJBljDHGGJOAgyxjjDHG\nmAQcZBljjDHGJOAgyxhjjDEmAQdZxhhjjDEJOMgyxhhjjEnAQZYxxhhjTAIOsowxxhhjElgpyIqI\nqyPiyxHx1Yi45Tj//tqI+LeI+EJEfD4iXtS+qcYYY4wxHE4aZEXEmqT3SXqZpKdJuiEiLtvyxz5T\nSnlWKeXZkm6UdHvzlprJOXjw4NRNMKeIx46Nx4+Nx2/3skom6/mS7i+lfKOUsinpTkmvHP6BUsr/\nDX57jqTvtGui6QU7Ci4eOzYePzYev93LKkHWEyQ9MPj9g/OfLRERr4qI+yR9StLNbZpnjDHGGMOk\n2cb3UsrHSilPlfRLkj7cStcYY4wxhkiUUrb/AxFXSLqtlHL1/PdvkVRKKX+4zX/zNUnPL6V8d8vP\nt//LjDHGGGM6opQSp/rfbqzwZz4n6eKIuFDSNyVdL+mG4R+IiJ8ppXxt/uvnzBv13a1Cp9NQY4wx\nxhgSJw2ySilHIuImSXdrVl78YCnlvoh43exfl9sl/XJE/LqkQ5L+V9KvZDbaGGOMMaZ3TlouNMYY\nY4wxO2e0G99PdqGp6YeIuCAiPhsR90bEPRFx8/zn50bE3RHxlYj4dEQ8euq2muMTEWsR8S8Rcdf8\n9x47CBHx6Ij4SETcN5+DP+/x4xARb52P2xcj4i8i4iyPX79ExAcj4uGI+OLgZyccr/n43j+fny89\nmf4oQdaKF5qafjgs6U2llKdJulLS787H6y2aXTx7qaTPSnrrhG002/MGSV8a/N5jx+G9kj41P639\nLElflscPwXzv8u9IenYp5Zmabcm5QR6/nrlDs9hkyHHHKyIul3SdpKdKermk90fEtnvNx8pknfRC\nU9MPpZRvlVL+df7r/5F0n6QLNBuzD83/2IckvWqaFprtiIgLJL1C0gcGP/bYAYiIH5d0VSnlDkkq\npRwupXxfHj8K/63Z3uR9EbEh6WxJD8nj1y2llH+Q9L0tPz7ReF0r6c75vPx3SfdrFt+ckLGCrJUu\nNDX9ERFPkvSzkv5J0mNLKQ9Ls0BM0vnTtcxswx9LerOk4YZLjx2DJ0v6TkTcMS/33h4RPyaPH4JS\nyvck/ZGk/9AsuPp+KeUz8vjROP8E47U1lnlIJ4llRtuTZXhExDmSPirpDfOM1tZTEj410RkRcY2k\nh+eZyO3S2B67PtmQ9BxJf1JKeY5mp7XfIs89BBFxkaQ3SrpQ0uM1y2j9qjx+dE55vMYKsh6S9MTB\n7y+Y/8x0yjzV/VFJHy6lfHz+44cj4rHzf/9Tkr49VfvMCXmBpGsj4uuS/krSiyLiw5K+5bFD8KCk\nB0opn5///m80C7o89xg8T9I/llL+s5RyRNLfSvoFefxonGi8HpL004M/d9JYZqwg60cXmkbEWZpd\naHrXSH+3OTX+XNKXSinvHfzsLkm/Of/1b0j6+Nb/yExLKeXWUsoTSykXaTbPPltK+TVJn5DHrnvm\nJYoHIuKS+Y9eLOleee5R+IqkKyJi73xD9Is1O4Di8eub0HLm/0TjdZek6+cnRp8s6WJJ/7yt8Fj3\nZEXE1ZqdmqkXmr57lL/Y7JiIeIGkv5d0j2Zp0iLpVs2M6a81i+S/Iem6Usp/TdVOsz0R8YuSfr+U\ncm1EPEYeOwQR8SzNDi3skfR1STdKWpfHD0FEvFmzF/QRSV+Q9FpJ++Xx65KI+EtJByT9hKSHJf2B\npI9J+oiOM14R8VZJvy1pU7OtNHdvq+/LSI0xxhhj2uON78YYY4wxCTjIMsYYY4xJwEGWMcYYY0wC\nDrKMMcYYYxJwkGWMMcYYk4CDLGOMMcaYBBxkGWOMMcYk4CDLGGOMMSaB/wc1nQ1XE3pslgAAAABJ\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12c7b2210>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# R_5, 32-cycle\n",
"plot(sample(0.5, 0, 32*3, lambda x: 3.56924*x*(1-x)))\n",
"axhline(0.5, c='red')\n",
"axvline(32, c='red')"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"estimated 3.56979043907\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.lines.Line2D at 0x130a48790>"
]
},
"execution_count": 98,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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8cz9nE4AHHsDB7YEHxgB9qxPXrH0Pqp5+//WvF3nhC2/2tew2y8YjFItiZySA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\nA/v/AZQucgkg5vXNAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x13064d850>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# R_6, 64-cycle\n",
"r = (3.56924 - 3.56667) / 4.669 + 3.56924\n",
"print 'estimated', r\n",
"plot(sample(0.5, 0, 64*3, lambda x: 3.56975*x*(1-x)))\n",
"axhline(0.5, c='red')\n",
"axvline(64, c='red', alpha=0.3)\n",
"axvline(128, c='red', alpha=0.3)"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"estimated 3.5698592311\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.lines.Line2D at 0x1306387d0>"
]
},
"execution_count": 97,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Ff0arDHPyYunk2vQuGp4XRntsbClepGsVWLDOzHsZc/GitT8GXnqxbIGX7Ljo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bGWF6xDwgs1xpIiS3qBFc7xHF40vtTghVsYc/KYP6ckXjAv4ZiH4xWbY5yusA8lBWOKFyrGYr7U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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1301d0e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# R_6, 128-cycle\n",
"r = (3.56975 - 3.56924) / 4.669 + 3.56975\n",
"print 'estimated', r\n",
"plot(sample(0.5, 0, int(128*2.5), lambda x: 3.569859*x*(1-x)))\n",
"axhline(0.5, c='red')\n",
"axvline(128, c='red', alpha=0.3)\n",
"axvline(256, c='red', alpha=0.3)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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