{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true, "deletable": true, "editable": true }, "source": [ "# Logistic Map" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "$x_{t+1} = r x_t (1-x_t)$\n", "\n", "This equation defines the rules, or dynamics, of our system: x represents the population at any given time t, and r represents the growth rate. In other words, the population level at any given time is a function of the growth rate parameter and the previous time step’s population level. If the growth rate is set too low, the population will die out and go extinct. Higher growth rates might settle toward a stable value or fluctuate across a series of population booms and busts" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Rules\n", "\n", "The model always starts with a population level of 0.5 and it’s set up to represent population as a ratio between 0 (extinction) and 1 (the maximum carrying capacity of our system)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### Programar la ecuación" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Generaciones de acuerdo con el r elegido \n", "\n", "[0.5 0.75 0.5625 0.73828125 0.57966614 0.73095992\n", " 0.58997255 0.72571482 0.59715846 0.7216807 0.602573 0.71843634\n", " 0.6068567 0.71574494 0.61036236 0.71346045 0.61330391 0.71148667\n", " 0.61582017 0.70975707]\n" ] } ], "source": [ "n = 20\n", "r = 3\n", "x = np.zeros(n)*np.NaN\n", "x[0] = 0.5\n", "\n", "for i in range(n-1):\n", " x[i + 1] = r * x[i]*(1 - x[i])\n", "\n", "print 'Generaciones de acuerdo con el r elegido \\n' \n", "print x" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### Generalizando para diferentes r" ] }, { "cell_type": "code", "execution_count": 354, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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dNCBB8XXsqmF0xHZROdM6E0m0wjpmls5IdX5wmRZwDrXlrhmdCSopkNy+pNeK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\nUB+e3I/UUDLNUCpNIpkmkUqTSNvh5aFUmkTKOusz+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[10,7])\n", "plt.title('Logistic model results by growth rate')\n", "plt.xlabel('Generations',fontsize=12)\n", "plt.ylabel('Population',fontsize=12)\n", "\n", "for r in np.arange(0.5,4,0.5):\n", "\n", " n = 20\n", " x = np.zeros(n)\n", " x[0] = 0.5\n", " for i in range(n-1):\n", " x[i + 1] = r * x[i]*(1 - x[i])\n", " \n", " \n", " plt.plot(x, label = str(r))\n", " plt.legend(bbox_to_anchor=(1, 1), fontsize=12)\n", "\n", "plt.savefig('Atractors_'+str(r)+'.pdf',bbox_inches='tight')\n", " \n", "\n", " " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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3RcRdEXEH8C7gzbWobU862lqYO6uDFZ45kySp6Xz+859ny5Yt9PT0cM455/CFL3yBY445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\nxKaI6MuX/3JogNtGERE/j4i3la9LKXW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C7d27V5J00UUX6frrr9frXvc6LVmyRJWVlfrc5z6XtLrMOZe0F0+2tWvXuo0bNyb1Pf7t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\nXJEf5MK5QRXkZqsgL0uFuVkqyMtSQey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DFw09IAG8lfLVvOXAvUyCJ1x7Sp0APPT45gZXIkmSqukDH/gAM2fO5MMf/jBf+cpXmDlz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\nH2X9VwMvzszXVcx7MrAUOCUz7y3mHZC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ktcBvTpAkSWqEwU2SJKkRBjdJkqRGGNwkSZIaYXCTJElqhMFNkiSpEQY3SZKk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\nhMFNkiSpEQY3SZKkRhjcJEmSGvH/Aw1jIU5PXRH9AAAAAElFTkSuQmCC\n", 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a0lCnRau3VSS43bpwlY4YOUTvOym+lrBhTfW668pTdPldv9df3v+Ubq2vi/y7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\n0kRgGGn6cBlwi6Q3AUgaJ+mSGl77eNp2kZK9nZJ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BD7ZyuB4Ln/wNEolEIpFYjNNWwozEbrfjm7/5m/HRj34UH/jAB/AzP/MzB64PBALIZver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\n1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8+c1v5vDwkKc//ek897nPPfZxH/nIR7h48SLb29u8+MUv5mUvexm5XDIx2zNnluBfv/t+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "\n", "for r in np.arange(0.5,4,0.5):\n", "\n", " n = 20\n", " x = np.zeros(n)\n", " x[0] = 0.5\n", " for i in range(n-1):\n", " x[i + 1] = r * x[i]*(1 - x[i])\n", " \n", " plt.figure(figsize=[10,7])\n", " plt.title('Logistic model results by growth rate')\n", " plt.xlabel('Generations',fontsize=12)\n", " plt.ylabel('Population',fontsize=12)\n", " plt.plot(x, label = str(r))\n", " plt.legend(bbox_to_anchor=(1, 1), fontsize=12)\n", " #plt.show()\n", "\n", "#plt.savefig('Atractors_'+str(r)+'.pdf',bbox_inches='tight')\n" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "An attractor is the value, or set of values, that the system settles toward over time" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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Iiopix44dADQ3N6OUomfPnnz66afcc889lJSUkJGRwebNm+nWrRsAiYmJREZG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I8fP17Pnj1bl5WV6QULFujMzEyr3IbWOqoER+SaMpPZHD6yd2dfPUfb2tqsdW+m4wVqkdtkZWXp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\nd5tPlzVsQnxZJGATQghhuvPOO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 200\n", "x = np.ones([200,1000])*np.NaN\n", "\n", "for idd,r in enumerate(np.arange(0.001,4,0.004)):\n", " x[0,idd] = 0.5\n", " for i in range(n-1):\n", " x[i+1,idd] = r * x[i,idd]*(1 - x[i,idd])\n", "\n", "x = x[100:,:]\n", "\n", "\n", "plt.figure(figsize=[10,7])\n", "[plt.scatter(np.arange(0.001,4,0.004),x.T[:,i],alpha=1, s=0.1,color='black') for i in range(100)]\n", "plt.xlim([0,4])\n", "plt.ylim([0,1])\n", "plt.title('Bifurcation Diagram',fontsize=12)\n", "plt.ylabel('Population',fontsize=12)\n", "plt.xlabel('Growth Rate',fontsize=12)\n", "plt.savefig('Bifurcation.pdf')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([0.001, 0.005, 0.009, 0.013, 0.017, 0.021, 0.025, 0.029, 0.033,\n", " 0.037])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.arange(0.001,4,0.004)[:10]" ] }, { "cell_type": "code", "execution_count": 271, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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BC7R3iy2fDNS+gnSJGwcLjocrV0B7BzymxDQ050j4zavwwGvQtBk2d4kvYMU2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\nC5Ay7WuHg4MaGRwe/7rf3NlOeZKGZ3oF7iE1k9TQM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 200\n", "\n", "growth = np.arange(0.001,4,0.004)\n", "x = np.ones([n,len(growth)])*np.NaN\n", "\n", "for idd,r in enumerate(growth):\n", " x[0,idd] = 0.5\n", " for i in range(n-1):\n", " x[i+1,idd] = r * x[i,idd]*(1 - x[i,idd])\n", "\n", "\n", "[plt.scatter(x[:-1,i],x[1:,i], s=1, color =plt.cm.jet(idd)) for idd,i in \\\n", " enumerate(np.where((growth >= 3.6) & (growth <= 4))[0])]\n", "plt.ylim([0.8,1.01])\n", "plt.xlim([0.2,0.8])\n", "plt.savefig('test.pdf')" ] }, { "cell_type": "code", "execution_count": 347, "metadata": { "collapsed": false, "deletable": true, "editable": true, "scrolled": true }, "outputs": [ { "data": { "image/png": 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EQQFPe3nxuo8PtaTZWaUigS+EuKK0ggIej41lcWoqgS4urAgMJLROnat/UFQ4EvhCiEvS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\nXx5tGSqrMmyLJ5VSkUqpA0qprUqp5kb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 200\n", "x = np.ones([n])*np.NaN\n", "r=2\n", "\n", "x[0] = 0.1\n", "for i in range(n-1):\n", " x[i+1] = r * x[i]*(1 - x[i])\n", " \n", "xtemp=np.arange(200)/200.\n", "\n", "#print range(1,len(x)-1)\n", "for j in range(2,200):\n", " plt.close('all')\n", " plt.plot((0,1),(0,1),'c')\n", " plt.plot(xtemp,r * xtemp*(1 - xtemp),'k')\n", " plt.plot((x[0],x[0]), (0,x[0]),'m')\n", " for i in range(j-1):\n", " plt.plot((x[i],x[i]), (x[i],x[i+1]),'m')\n", " plt.plot((x[i],x[i+1]), (x[i+1],x[i+1]),'m')\n", " plt.ylim([0,1])\n", " plt.xlim([0,1])\n", " plt.title('r = '+str(r)+', paso = '+str(j))\n", " figname=str(j) + '_r_'+str(r)+'.png'\n", " if j<100: figname='0'+figname \n", " if j<10: figname='00'+figname \n", " plt.savefig(figname)\n", "\n" ] }, { "cell_type": "code", "execution_count": 340, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", 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GxhKZkUG3mjWZ6eVFbWuxs6L4+9uaJHxRLKWkpPD555+zYMECEhMTKV++PI899hjdunXj\n0UcfpWLFinfcRlG/4S9dusSGDRtYvXo13333HVlZWfj5+dG7d2+effZZ6tatWyRxOIMsk4l3jx7l\no2PHqFGqFLN9fHiyZs1/rONsCb94zj0SDstsNvPTTz/xxBNP4O7uztixY2nQoAFLly7lzJkzrFix\ngh49etgk2RvB1dWVHj16sHz5clJSUpg7dy6urq6MGjUKd3d3unXrxvbt2zGqI1ZcbLt4kcDwcD44\ndozna9cmJjT0X8neGUnCF3YhJyeHL774goCAADp27Mj27dsZNmwYcXFxbN68mV69elG+fHmjw7Sp\nKlWqMGDAAP744w9iY2MZPnw4mzZt4t5776V169Z89dVX5ObmGh2mQ0nPy2NQXBz/t3cv2Vrzc0AA\ni5o0oaoDVrYsDDKkIwyVnp5OeOV//x8487RGmeZ5e/LvtW/j6vE/T08q3qTYmQzpCFEEMjMz+eij\nj/Dw8PjH48r648yutQ+09UdcW/49o4AZ3t43TfbOSPaIKFK5ubl89tlnvPPOO5w8eZIOHTqgfrIk\nNyN6WY7Qw9u8eTPjxo1j+/btuLu78+abb/Liiy9SSoYpWJmayivx8ZzPy2OUuzsPNj5mdEh2TXr4\nokhorfnmm2/w9/dn4MCBeHh4sGXLFn788UejQ7N77dq1Y+vWrfz888/UrVuXgQMH0qJFCzZs2GB0\naIZJyc6m64EDdI+Opn6ZMoS1bMn7tzk115lIwheF7sCBA7Rr144ePXpQpkwZvvvuO7Zv3859991n\ndGgOQynFQw89xI4dO/j222/Jzc2lQ4cOdOrUibi4OKPDKzJaaz5LScEvLIwfzp9nYqNG7GrZksBi\nWNmyMBQo4SulOiilYpVSCUqp0ddY3kAptVkpFamUilJKPWr7UIWjSUtLY+jQoQQGBrJ//37mzp3L\n3r176dy5s5xodJuUUnTp0oUDBw7w0Ucf8dtvv9GsWTOGDRtGWlqa0eEVqqQrV3g4Koo+sbE0r1CB\nfcHBjGzQgJLFtLJlYbjpnlJKuQCzgI6AH/C0UsrvqtXeBFZorYOAp4DZtg5UOA6tNUuXLsXX15fp\n06fTt29f4uLiGDBggJQTsJEyZcowYsQI4uPjef7555k2bRp+fn58//33Rodmcyat+fjECZqFhbEz\nLY3Z3t5sCQzEp5hN0y0KBfloDAUStNaJWuscYDnQ5ap1NFDZ+rsrcNJ2IQpHkpyczOOPP86zzz6L\nu7s7u3btYu7cuVR34As/2zM3NzcWLFjAzp07qVq1Kp07d+app54iNTXV6NBsIubyZf4vMpLBCQnc\nV6UKB0NCeKlePacpdmZrBUn49YDj+e6fsD6W39vAs0qpE8APwKvX2pBSaoBSKlwpFX7mzJnbCFfY\nK601n332Gf7+/mzevJkZM2awc+dOQkJCjA7NKYSGhhIREcG7777LmjVraNq0KYsXL3bYM3ZzzWb+\nd/QogeHhxGZmsqRJE9Y3b06DsmWNDs2h2Wrw62ngc611feBRYIlS6l/b1lrP01oHa62Da8ppzsXG\nn736Pn36EBAQQFRUFK+99ppcJaqIlS5dmnHjxhEZGUmTJk3o3bs3Xbp0wdE6VxHp6QRHRPBmUhL/\nqVGDmNBQnq1dW4772EBB3pHJWC4K86f61sfy6wusANBa7wDKAjVsEaCwb39OtfyzV79lyxa8vLyM\nDsup+fn5sXXrVqZNm8aGDRto3ry5Q0zhvGIyMerwYVpHRHAmN5c1/v587e9PrdKljQ6t2ChIwg8D\nvJVSnkqp0lgOyq69ap1jQHsApVRTLAnfsboV4pZkZmYycOBAevToQZMmTaRXb2dKlCjBkCFDCAsL\no0aNGnTo0IHXX3+drKwso0O7pt8vXqRFeDgfHT/Oi3XqEB0Swn9kFMDmbvru1FrnAYOADUAMltk4\nB5VS7yqlOltXGwb0V0rtA74CXtCOOngoburgwYOEhoYyb948Ro8ezdatW6VXb6cCAgIICwvjtdde\nY/r06YSGhhIdHW10WH9Jy8vj5bg47tu7lzyt+bVFC+b7+lJFziIuFAUqraC1/gHLwdj8j43P93s0\ncI9tQxP2RmvNggULGDx4MJUqVWLDhg08/PDDRoclbqJcuXLMmDGDDh068MILLxAaGsqiRYvo0aOH\noXH9cO4c/42L40R2Nq/Xr897np5UkGm7hUq+f4sCycrKok+fPgwYMIB7772Xffv2SbJ3MB07dmTP\nnj20aNGCnj17MnToUEPKL5/NyeG5mBge27+fSi4u/BEUxFQvL0n2RUASvripEydO0LZtWz7//HPG\njx/PTz/9RO3atY0OS9yGevXqsXnzZl599VWmTZtG+/btOXXqVJG0rbVmRWoqfmFhLE9NZbyHB3uC\ng7nL1bVI2hdSLVPcxLZt2+jatSuZmZmsWbOG//znP0aHJO5Q6dKl+fjjj7nrrrvo378/QUFBrFq1\nirvvvrvQ2jyZnc3LcXF8d+4cwZUq8auvLwEOetUyRyY9fHFNWms+/fRT2rVrh6urK7t27ZJkX8z0\n6tWLnTt3UqFCBR544AGWLVtm8za01iw4eRK/3bvZcOECkxs3ZkdQkCR7g0jCF/9iMpkYPHgwL7/8\nMg8//DC7d+/Gz+/q8kmiOGjevDm7du2idevWPPPMM7z99ts2Ozs38coVHty3j/5xcQRWrMj+4GCG\nubtLsTMDyZ4X/3D58mWefPJJZs6cydChQ1m7di1VqlQxOixRiKpXr84vv/zCCy+8wDvvvMMzzzxz\nR/P1TVoz7fhxmoWFEZaezlwfHzYFBuIlxc4MJ2P44i+nTp2iU6dO7Nmzh5kzZzJo0CCjQxJFpHTp\n0ixatAhfX1/GjBlDUlIS3333HbVq1bql7Ry8fJm+hw6xKz2dx6pVY46PD/Wl/o3dkB6+ACAmJoY2\nbdpw8OBB1qxZI8neCSmlGD16NCtXrmTfvn3cc889JCUlFei5OWYz7x45QlB4OIezsljWtCnfN28u\nyd7OSMIXbN++nbvvvpvMzEx+++03OnfufPMniWKra9eubNy4kXPnznH33XcTFRV1w/XD0tJoFRHB\nW0eO0L1mTaJDQnjazU2KndkhSfhO7ueff+bhhx+mZs2aUs5Y/KVNmzZs3boVFxcX2rZty7Zt2/61\nTqbJxPCEBO7as4cLubmsbdaMpX5+1JRiZ3ZLEr4TW7VqFY8//jje3t5s3boVT09Po0MSdsTf35/t\n27fj5ubGQw899I+raW25cIGAsDCmnDhB/zp1OBgaSqcaUiDX3knCd1KfffYZPXr0IDg4mM2bN+Pm\n5mZ0SMIOeXh4sG3bNpo1a8YTTzzBvC++YGBsLO327QNgU4sWzPH1xbWkzP9wBJLwndCMGTPo06cP\n7du355dffqFq1apGhyTsWM2aNdm0aRP+bdow8MUXmf/ZZwx3dycqJIR28r/jUCThO5mJEycyZMgQ\nnnzySb7//nsqVKhgdEjCzp3JyWHg8eNEvfEGFUJD4aOP8N28mfJS7MzhSMJ3Ih999BGjR4/mqaee\n4uuvv6ZMmTJGhyTsmNaaZadP03T3blaeOcM7TZqQvHEjjzzyCP3792fOnDlGhyhukQy8OYnJkycz\natQonnrqKZYsWUJJGXMVN3AiK4uX4uNZd+4crStVYmGTJvhbvw2uWbOGbt268dJLL5GXlyfnbDgQ\nedc7gSlTpjBixAh69uwpyV7ckFlr5qekMOLwYfK0ZmrjxrxWvz4u+ebUly1bllWrVtGzZ09effVV\ntNa8+uqrBkYtCkre+cXctGnTGD58ON27d+fLL7+UZC+uKyEzk/5xcWy5eJEHqlRhvq8vjcqVu+a6\nZcqUYcWKFfTs2ZPXXnuNChUq0KdPnyKOWNwqefcXY7Nnz2bo0KF069aNpUuXSrIX15RnNjP9xAnG\nHTlCaaWY7+ND3zp1bnqmbOnSpVm+fDldunShX79+lC9fnqeeeqqIoha3QzJAMbVs2TIGDRpEp06d\nWLZsGaXkotDiGvZnZNA3Npaw9HQ6V6/ObB8f6t3CwfwyZcqwevVqOnTowHPPPUeFChXo1KlTIUYs\n7oTM0imG1q1bx/PPP899993HihUrJNmLf8k2m3krKYmWEREcycriaz8/vm3W7JaS/Z/Kly/PunXr\nCAoKonv37vz666+FELGwBUn4xcxvv/1G9+7dCQoKYu3atZSVaoXiKjsvXaJleDjvHj3KU7VqERMa\nSo9ate6o2FnlypX56aef8PHxoUuXLmzfvt2GEQtbkYRfjERERNCpUyc8PT358ccfqVSpktEhCTty\n2WRiaEICd0dGkmYysb55c5Y0bUp1G30DrFatGr/88gv16tWjU6dOREdH22S7wnYk4RcTsbGxdOjQ\ngWrVqvHzzz9TQwpZiXw2XrhA87Awpp04wX/r1uVgSAiPVq9u83bc3NzYsGEDZcqUoUOHDiQnJ9u8\nDXH7JOEXA6dPn6Zjx44opfjll1+oX7++0SEJO3ExN5f+sbE8uG8fJZXit8BAZvv4ULkQZ2x5enry\nww8/cOHCBTp27MilS5cKrS1xayThO7jLly/TqVMnTp06xffff4+3t7fRIQk78d3Zs/iFhbEoJYWR\n7u7sCw6mbRFdnzgoKIjVq1cTExPDf/7zH7Kzs4ukXXFjkvAdmMlkolevXoSHh/PVV1/RunVro0MS\nduB0Tg49Dx7kPwcOULNUKXa1bMnExo0pV8TFzh566CE+//xztmzZwvPPP4/ZbC7S9sW/yTx8B6W1\nZvDgwaxdu5aZM2fSpUsXo0MSBtNas/T0aQYnJJBhMvG+pycj3d0pVcK4ft0zzzzDyZMnGTlyJO7u\n7kyePNmwWIQkfIc1ZcoUZs2axfDhw6V4leBYVhb/jYvjx/PnaVO5Mgt9fWlqJ6Wvhw8fztGjR5ky\nZQq+vr7079/f6JCcliR8B7Rq1SpGjBhB9+7dmThxotHhCAOZtWbuyZOMTEzErDUzvLx4pV69fxQ7\nM5pSiunTp5OQkMDLL7+Ml5cX7dq1MzospyRj+A4mMjKS559/nrvuuovFixdTwsCv68JYcZmZ3L93\nLy/Hx3NX5cocCAn5V2VLe1GyZEm+/vprfHx86Nq1K3FxcUaH5JQkWziQ06dP06VLF6pVq8aaNWvk\nLFonlWc289GxY7QID2f/5css8vXl54AAPK9T2dJeuLq6sm7dOlxcXHj88cc5f/680SE5HUn4DiI7\nO5snnniCc+fOsXbtWmrXrm10SMIA+zIyaL1nD6MSE+lYrRrRISG8WIDKlvbC09OTb7/9lqNHj9Kt\nWzdyc3ONDsmpSMJ3AFprBgwYwI4dO/jiiy8ICgoyOiRRxLJMJt5MTCQ4IoLk7GxW+vuzulkz6jjg\nZSrvueceFixYwObNm+XCKUWsQAlfKdVBKRWrlEpQSo2+zjo9lFLRSqmDSqlltg3TuU2ZMoXFixfz\nzjvv0K1bN6PDEUXsj0uXCIqI4H/HjvFMrVpEh4bStWZNo8O6I8899xyjR49m7ty5zJ8/3+hwnMZN\nZ+kopVyAWcBDwAkgTCm1VmsdnW8db2AMcI/W+oJSqlZhBexsfvrpJ0aOHEmPHj0YN26c0eGIIpSR\nl8cbSUnMTE7GvUwZfgoI4JFq1YwOy2bef/99IiMjGTRoEM2bN+euu+4yOqRiryA9/FAgQWudqLXO\nAZYDV5/l0x+YpbW+AKC1TrVtmM4pMTGRXr16ERAQwGeffeYw47Tizv18/jzNwsL4ODmZV+rV40BI\nSLFK9gAuLi4sW7aM+vXr07VrV06dOmV0SMVeQRJ+PeB4vvsnrI/l5wP4KKW2K6V2KqU6XGtDSqkB\nSqlwpVT4mTNnbi9iJ5GZmUnXrl3RWrN69WrKly9vdEiiCFzIzeXFQ4d4JCqKsiVKsDUwkJne3lQq\nppen/HPG2cWLF+nWrRs5OTlGh1Ss2eqgbUnAG7gfeBqYr5T6V5UmrfU8rXWw1jq4poOPQRYmrTUv\nvfQSe/fuZenSpTRq1MjokEQRWH3mDH5hYSw5dYoxDRqwNziYe4uo2JmRAgICWLRoEdu3b+f11183\nOpxirSDdhmTAPd/9+tbH8jsB7NJa5wJJSqk4LB8AYTaJ0snMmTOHxYsX89Zbb/Hoo48aHY4oZKey\nsxkUH8+qs2cJrFiRH5o3J8jJLl7Ts2dPIiIimDRpEsHBwbz44otGh1QsFaSHHwZ4K6U8lVKlgaeA\ntVet8y2W3j1KqRpYhngSbRg3HS2jAAAgAElEQVSn09i5cyeDBw/m0UcfZfz48UaHIwqR1povTp3C\nLyyMdefOMcHTk90tWzpdsv/ThAkTaN++PS+//DJRUVFGh1Ms3TTha63zgEHABiAGWKG1PqiUelcp\n1dm62gbgnFIqGtgMjNBanyusoIur1NRUunXrRv369VmyZImUTSjGjmZl0TEqihcOHcKvfHn2Bgcz\nxsPD0MqWRitZsiRLly6latWqdOvWjbS0NKNDKnYKdCRIa/0D8MNVj43P97sGhlpv4jaYzWaeffZZ\nzp07xx9//EG1YjYjQ1iYtWZ2cjKjEy1fgGd6efFyvXqUkBlYgOUSicuXL6ddu3YMGDCAr776Sman\n2ZDzdifszMSJE/nll1+YMWOGnElbTB26fJm2kZG8mpDAva6uHAwNZVD9+pLsr9K2bVvef/99vv76\na+bMmWN0OMWKJHw7sG3bNsaNG0fPnj2lVngxlGs2M+HoUVqEhxOdmckXTZrwY0AAHlL87rpGjRpF\nx44dGTJkCBEREUaHU2xIwjfY2bNneeqpp2jYsCHz5s2Tr6/FTGR6OqF79vBGUhKda9QgJjSU52vX\nlr/zTZQoUYIlS5bg5uZG9+7duXjxotEhFQuS8A2kteaFF17gzJkzrFixgsqVKxsdkrCRLJOJMYmJ\nhEREcConh1X+/nzj749b6dJGh+Ywqlevztdff83x48fp168flkOF4k5IwjfQ1KlTWb9+PVOmTKFl\ny5ZGhyNsZNvFi7QID+fDY8d4vnZtokNCeFJONLwtbdq0YcKECaxatYqFCxcaHY7Dk4RvkN27dzN6\n9GieeOIJXnnlFaPDETaQnpfHoLg4/m/vXnK05ueAABY1aULVUqWMDs2hDRs2jAcffJDBgwdz6NAh\no8NxaJLwDZCRkcEzzzxD3bp1WbhwoYznFgM/nTtHs7AwZp88yeB69dgfHMxDMrXWJkqUKMHixYsp\nX748Tz/9NNnZ2UaH5LAk4RtgyJAhHD58mCVLllC1alWjwxF34FxuLr1jYui4fz8VXFzYHhTEdG9v\nKhbTYmdGqVOnDosWLWLv3r2MHTvW6HAcliT8IrZmzRoWLlzI6NGjadu2rdHhiNuktWZlaip+u3ez\nLDWVNz08iAwOpo2rq9GhFVudOnXilVdeYerUqWzYsMHocBySJPwidPLkSfr160erVq14++23jQ5H\n3KaU7Gy6HjxI9+ho3MuUIbxVK97z9KSME5dFKCqTJk3C39+f3r17k5oql924VfIfWkTMZjO9e/cm\nKyuLpUuXUlqm5zkcrTWfpaTgFxbGj+fPM7FRI3a2bEmLihWNDs1plCtXjq+++oqLFy/Sp08fmap5\niyThF5EZM2bw66+/Mm3aNHx9fY0OR9yipCtXeDgqij6xsTSvUIF9wcGMbNCAktKrL3LNmzdn4sSJ\nrF+/nkWLFhkdjkOR/9YisH//fkaPHk2XLl2kdIKDMWnNjBMnaBYWxq60NGZ7e7MlMBAfuQKZoV59\n9VXatWvHkCFDSEpKMjochyEJv5Dl5OTw3HPPUaVKFebPny9TMB1I9OXL/F9kJEMSErivShUOhoTw\nklS2tAslSpT46zrPL7zwAmaz2eiQHIIk/EL2/vvvs2/fPubNm4dc1tEx5JrNvH/kCEHh4cRlZvJl\n06asb94cdyl2Zlc8PDz4+OOP+f3335k+fbrR4TgEmSxciMLDw5kwYQLPPfccXbp0MTocUQAR6en0\nOXSIqMuX6VmzJh97e1NLDrDbrd69e/Ptt98yduxYHnnkEaPDsXvSwy8kWVlZ9O7dGzc3N2bMmGF0\nOOImrphMjDp8mNCICM7k5vJts2Ys9/eXZG/nlFLMmzePSpUq8fzzzxsdjt2THn4heeutt4iOjubH\nH3+Us2kdQIvwcOKvXKFfnTpMatSIKlL/xmHUqlWLefPm8eSTT6LRKOQYy/VIwi8EO3bsYPLkyfTr\n148OHToYHY64jrS8PP6cxT33risAKFLYS4pxQYnbUpWqbGKT0WHYPRnSsbHMzEx69+5N/fr1mTJl\nitHhiOv44dw5/MPC/rqvrDfhuP7s2Ws0ubm5Bkdjn6SHb2Pjx48nPj6ejRs3ygVN7NDZnByGJCSw\nNDUVv/LlKX+pJa3l71RsrF69mq5duzJh8gTGjBljdDh2R3r4NhQWFsa0adMYOHAgDzzwgNHhiHy0\n1nydmopfWBhfnznDWx4e7AkOlmRfzDz55JN0796dt99+m5iYGKPDsTuS8G0kJyeHvn37UqdOHSZO\nnGh0OCKf5Oxs/nPgAE9FR+NRtix7WrXibSl2VmzNnDmTihUr0qdPH0wmk9Hh2BX5j7eRiRMnsn//\nfj799FNcpUSuXdBaM//kSfx27+bnCxeY3LgxO4KCaC7Fzoo1Nzc3Pv74Y3bu3MnMmTONDseuSMK3\ngZiYGN5//3169uxJp06djA5HAIevXKH9vn0MiIujZaVK7A8OZpi7uxQ7cxK9evXi8ccfZ+zYsRw+\nfNjocOyG/PffIZPJRN++falYsSIff/yx0eE4PZPWTD1+nOZhYUSkpzPXx4eNLVrgJcXOnIpSijlz\n5lCqVCn69+8vZZStJOHfodmzZ7Njxw6mT59OrVq1jA7HqR3IyODuPXsYdvgw7atW5WBICAPq1pVi\nZ06qXr16TJo0ic2bN7N48WKjw7ELkvDvwNGjRxkzZgyPPPIIzz77rNHhOK0cs5l3jhyhZUQEiVlZ\nLGvalLXNmlFfip05vX79+nHPPfcwbNgwzp49a3Q4hpOEf5u01rzyyisAzJ07V8oeG2R3WhqtIiJ4\n+8gRutesSXRICE+7ucnfQwCWMspz584lLS2NYcOGGR2O4STh36Y1a9awfv163nnnHTw8PIwOx+lk\nmkwMT0igzZ49XMjNZW2zZiz186OmFDsTV/H392fkyJEsXryYTZucu/yCMupgRnBwsA4PDzek7TuV\nnp5O06ZNqVGjBuHh4ZQsKScs34ktagsA9+v7C7T+5gsX6BcbS2JWFgPr1GFi48a4yt9A3MCVK1cI\nCAhAKUVUVBRlrcN9t/q/Zw+UUhFa6+Dbea708G/DW2+9xcmTJ5kzZ44k+yJ0KS+PgbGxPLBvHwrY\n3KIFc3x9JdmLmypXrhyffvop8fHx/O9//zM6HMNIwr9FkZGRzJgxg4EDB3LXXXcZHY7T+P7sWfx2\n72ZBSgrD3d2JCgnhfik7LW7Bgw8+yLPPPsvEiROJjo42OhxDSMK/BSaTiYEDB1KjRg0mTJhgdDhO\n4UxODr2io+l84ADVS5ViZ8uWTGrcmPIuLkaHJhzQ1KlTqVSpEv/973+dcm6+fBe+BXPnziUsLIwv\nv/xSLmpSyLTWfJWaymvx8aSZTLzTsCGjGzSgtJwpK+5AzZo1mThxIv3792fp0qXUp77RIRWpAr17\nlFIdlFKxSqkEpdToG6zXVSmllVK3dUDBnp06dYoxY8bQvn17evXqZXQ4xdrxrCw67d/PMzExeJUr\nR2RwMOMbNpRkL2yiT58+hIaGMnz4cKNDKXI3fQcppVyAWUBHwA94Winld431KgGDgV22DtIejBgx\ngqysLGbPni1zvAuJWWvmnjyJf1gYmy9eZFrjxmxv2RL/ChWMDk0UIyVKlGD27Nmkpqaica5hnYJ0\nmUKBBK11otY6B1gOdLnGeu8BE4EsG8ZnF7Zu3cqXX37JyJEj8fHxMTqcYuuBvXv5b1wcoZUqsT8k\nhCHu7rjIh6soBK1ateKll14yOowiV5Ax/HrA8Xz3TwCt86+glGoJuGut1yulRlxvQ0qpAcAAgAYN\nGtx6tAbIy8tj0KBBNGjQQK6gUwjyzOa/+lhvtbwEgOIix9jFMePCEk6gO93R1h+z2UwJJxgyvONX\nqJQqAUwFbnrestZ6ntY6WGsdXLNmzTttukjMmTOHqKgopk6dSnmpuGhTURkZtImM/Ou+XFdWGGXJ\nkiVGh1AkCtLDTwbc892vb33sT5WAZsAW69h2bWCtUqqz1toxT6W1Sk1NZdy4cTz44IM8+eSTRodT\nbGSbzfzv6FE+OHaMqiVLcua0H91r1pRjI6LImc1m7r33XhJGJNClSxeqVKlidEiFqiA9/DDAWynl\nqZQqDTwFrP1zodb6kta6hta6oda6IbATcPhkDzB27FgyMjL4+OOPJRnZyM5Ll2gZHs57R4/yVK1a\nxISG0qNWLdm/whAlSpRg1qxZnDt3jjfffNPocArdTRO+1joPGARsAGKAFVrrg0qpd5VSnQs7QKPs\n3r2bhQsXMmTIEJo2bWp0OA7vssnE6wkJ3B0ZSbrJxPrmzVnStCnVS5UyOjTh5IKCgnjppZf49NNP\n2b9/v9HhFCopnnYNZrOZ1q1bk5yczKFDh6hcubLRITm0jRcu0D82lqSsLF6uW5cPGjWistS/EXbk\n/PnzeHt7ExgYyK+//mrX3zileJqNLVq0iPDwcCZNmiTJ/g5czM2l36FDPLhvHyWV4rfAQGb5+Eiy\nF3anWrVqvPvuu2zatInvvvvO6HAKjfTwr5KWloa3tzfe3t5s3brVrj/p7dm3Z87wcnw8qTk5DHd3\n562GDSkn9W+EHcvLyyMwMJArV65w8ODBv0oo2xvp4dvQBx98QGpqKtOmTZNkfxtO5+TQ4+BBnjh4\nkFqlSrGrVSs+bNxYkr2weyVLlmTGjBkkJiYyffp0o8MpFNLDz+fIkSM0adKEHj16yEWPb5HWmi9P\nn2ZIQgIZJhPjGzZkpLs7pZzgZBZRvDzxxBP88ssvxMXFUbduXaPD+Rfp4dvIqFGjKFGihJQ+vkXH\nsrJ4bP9+nj90CN/y5dkbHMwbHh6S7IVDmjx5Mrm5uYwdO9boUGxO3pFW27ZtY8WKFYwcOZL69Z2r\nZOrtMmvN7ORk/MPC+P3iRT728mJrUBBNpdiZcGCNGzdm6NChfPHFF+zevdvocGxKhnT4exrmyZMn\niYuLo4IkrJuKy8ykX2wsWy9d4qGqVZnn40PDcuWMDksIm0hPT8fHx4eGDRvyxx9/2NXxPBnSuUNL\nly4lPDycDz/8UJL9TeSZzUw8doyAsDD2X77MZ76+bAgIkGQvipVKlSoxYcIEdu7cyTfffGN0ODbj\n9D38y5cv4+vrS506ddi1a5dTVMy7XXvT0+kbG8uejAyeqFGDWd7e1ClTxuiwhCgUJpOJli1bkp6e\nTkxMDGXs5H9devh3YPLkySQnJzNt2jRJ9teRZTLxRmIiwRERJGdns9Lfn9XNmkmyF8Wai4sLU6ZM\nISkpiU8++cTocGzCqXv4J06cwNfXl8cee4wVK1YYGou9+uPSJfrGxnIoM5Pebm5M9fKimtS/EU7k\n0UcfZceOHSQkJFC9enWjw5Ee/u0aO3YseXl5TJw40ehQ7E5GXh6vxcdzb2QkmSYTPwUE8HnTppLs\nhdOZNGkSaWlpvPfee0aHcsecNuFHRESwZMkSXn/9dTw9PY0Ox678fP48zcLC+CQ5mVfq1eNASAiP\nVKtmdFhCGMLf359+/foxa9Ys4uPjjQ7njjjtkM5DDz1EZGQkhw8fxtXV1bA47Mn53FyGHT7M56dO\n4VuuHAt8fbm3mF8QQoiCOHXqFN7e3jz88MOsWrXK0FhkSOcW/fzzz/z666+MGzdOkr3VqjNn8Nu9\nmyWnTjGmQQP2BgdLshfCqnbt2owaNYrVq1ezdetWo8O5bU7XwzebzbRq1YqLFy9y6NAhu5lqZZRT\n2dkMio9n1dmzBFasyCJfX4IqVTI6LCHsTmZmJj4+PtSrV4+dO3cadjKW9PBvwfLly9m7dy/vv/++\nUyd7rTWfp6TgFxbGunPn+MDTk90tW0qyF+I6ypcvz3vvvcfu3btZs2aN0eHcFqfq4WdnZ9OkSRNc\nXV3Zs2eP0867P3LlCgPj4vj5wgXudXVlga8vvuXLGx2WEHYvLy+PgIAAzGYzBw4coKQBF/ORHn4B\nzZ07lyNHjjBx4kSnTPZmrZl54gTNwsL4Iy2NT7y9+S0wUJK9EAVUsmRJJkyYQGxsLF988YXR4dwy\np+nhp6Wl0bhxY1q0aMEvv/xiV8WQisKhy5fpFxvL9rQ0Hqlalbm+vnjY6RV9hLBnWmvuvvtujh8/\nTnx8POWKuI6U9PALYPLkyZw9e5YPP/zQqZJ9rtnMhKNHaREeTnRmJl80acKPAQGS7IW4TUopPvzw\nQ5KTk5k1a5bR4dwSp+jhp6Sk4OXlRadOnVi+fHmRtGkP9liLne3NyKB7zZrM9PbGrXRpo8MSoljo\n2LEju3btIjExkSpFOIVZevg38e6775KTk8P7779vdChF4orJxJjEREIjIjiVk8Nqf39W+PtLshfC\nhj744AMuXLjApEmTjA6lwIp9wo+Li2P+/PkMHDgQLy8vo8MpdNsuXiQwPJwPjx2jd+3aRIeE8ETN\nmkaHJUSxExgYyNNPP8306dNJSUkxOpwCKfYJ/4033qBs2bKMGzfO6FAKVXpeHoPi4vi/vXvJ0Zpf\nAgJY2KQJVaXYmRCF5r333iMnJ8dhCqsV64S/Z88eVq5cybBhw3BzczM6nELz47lz+IeFMfvkSQbX\nq8f+4GAelGJnQhS6xo0bM2DAAObPn09CQoLR4dxUsU7448ePp2rVqgwdOtToUArFudxcno+J4dH9\n+6no4sL2oCCme3tT0YCTQYRwVuPGjaN06dIOMYpQbBP+jh07WL9+PSNGjCh2BdK01nyTmorf7t18\nlZrKOA8PIoODaVPMXqcQjqB27dq8/vrrLF++nD179hgdzg0V22mZDz74IFFRUSQmJlKxYsVCa6eo\npWRn83J8PN+ePUurihVZ2KQJLYrR6xPCEV26dIlGjRrRpk0b1q1bV6htybTMq2zZsoWNGzcyZsyY\nYpPstdYsSkmh6e7d/HT+PB81asTOli0l2QthB1xdXRkxYgTr169n165dRodzXcWuh6+1pm3btiQm\nJpKQkFDkpz0XhkRrsbNfL1ygrasr83198ZH6N0LYlYyMDDw9PWnZsiUbNmwotHakh5/Pzz//zLZt\n23jjjTccPtmbtGb68eM0DwtjV1oan3p7szkwUJK9EHaoYsWKjBo16q8cZI+KVQ9fa03r1q1JTU0l\nNjbWoevdR1++TN/YWHampdGxWjXm+vjgLvVvhLBrmZmZNGrUCH9/fzZu3FgobUgP3+r7778nLCyM\n8ePHO2yyzzGbee/IEYLCw4nPzOTLpk1Z37y5JHshHED58uUZPXo0mzZtYsuWLUaH8y8F6uErpToA\nMwAXYIHW+sOrlg8F+gF5wBmgj9b66I22aesevtlsJigoiMzMTGJiYgy5MMGdCk9Lo29sLFGXL/NU\nrVrM8PKiltS/EcKhXLlyBS8vL7y8vNiyZYvNq/MWag9fKeUCzAI6An7A00opv6tWiwSCtdYBwErg\no9sJ5k6sXLmSqKgo3n77bYdL9ldMJkYePkzrPXs4m5vLd82a8ZWfnyR7IRxQuXLlGDt2LL///nuh\nDevcrpv28JVSbYC3tdaPWO+PAdBaf3Cd9YOAT7TW99xou7bs4ZtMJpo1a0aJEiWIiorCxcXFJtst\nCr9dvEi/2FgSrlyhf506fNSoEVWk/o0QDi07OxsvLy/c3d3Zvn27TXv5hT2GXw84nu/+Cetj19MX\n+PFaC5RSA5RS4Uqp8DNnzhQ8yptYtmwZhw4d4t1333WYZJ+Wl8dLcXHcv3cvZq3Z2KIF83x9JdkL\nUQyUKVOGN998kx07dhTqFM1bVZAefjegg9a6n/X+c0BrrfWga6z7LDAIuE9rnX2j7dqqh28ymWja\ntCnly5d3mAuTrz93jv/GxXEyO5sh9evzrqcnFRzkg0oIUTA5OTn4+PhQq1Ytdu3aZbNefmH38JMB\n93z361sfuzqIB4E3gM43S/a29PXXXxMfH8/48ePtPtmfzcnh2ehoHt+/H1cXF/5o2ZIpXl6S7IUo\nhv4sqBYWFsb69euNDgcoWA+/JBAHtMeS6MOAXlrrg/nWCcJysLaD1jq+IA3boodvMplo3rw5Li4u\n7Nu3z24Tvtaar1NTeTUhgUt5eYxt0ICxHh6UttN4hRC2kZubS9OmTalcuTIRERE26eUXag9fa52H\nZZhmAxADrNBaH1RKvauU6mxdbRJQEfhGKbVXKbX2doK5VatWrSImJoZx48bZbbJPzs7mPwcO8HRM\nDJ5lyxLRqhVve3pKshfCCZQqVYrx48cTGRnJ2rVFkhZvyGHPtDWbzbRo0QKTycT+/fvt7mCt1poF\nKSkMP3yYXK15z9OTIfXr42LjOblCCPuWl5eHr68v1apVY/fu3Xfcy3fKM22//fZbDhw4wBtvvGF3\nyf7wlSu037ePAXFxtKxUiajgYIa5u0uyF8IJlSxZkjFjxhAeHm74jB2H7OFrrWnZsiWXL18mOjra\nbk60MmnNjBMneDMpiVJKMalxY/rVqUM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 200\n", "x = np.ones([n])*np.NaN\n", "r=3.48\n", "\n", "x[0] = 0.1\n", "for i in range(n-1):\n", " x[i+1] = r * x[i]*(1 - x[i])\n", " \n", "xtemp=np.arange(200)/200.\n", "\n", "#print range(1,len(x)-1)\n", "for j in range(2,200):\n", " plt.close('all')\n", " plt.plot((0,1),(0,1),'c')\n", " plt.plot(xtemp,r * xtemp*(1 - xtemp),'k')\n", " paso2=j\n", " paso1=paso2-20\n", " if paso1<0 : paso1=0\n", " if paso1==0 : plt.plot((x[0],x[0]), (0,x[0]),'m')\n", " for i in range(paso1,paso2):\n", " plt.plot((x[i],x[i]), (x[i],x[i+1]),'m')\n", " plt.plot((x[i],x[i+1]), (x[i+1],x[i+1]),'m')\n", " plt.ylim([0,1])\n", " plt.xlim([0,1])\n", " plt.title('r = '+str(r)+', paso = '+str(paso1)+' a paso = '+str(paso2))\n", " figname=str(j) + '_r_'+str(r)+'_'+str(paso1)+'_'+str(paso2)+'.png'\n", " if j<100: figname='0'+figname \n", " if j<10: figname='0'+figname \n", " plt.savefig(figname)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true, "deletable": true, "editable": 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": 2 }