{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Texte 2012-B2 : Systèmes dynamiques hamiltoniens" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from math import *\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "plt.rcParams[\"figure.figsize\"] = (7, 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pendule linéarisé\n", "$$\\theta''+\\theta=0$$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "dt = 0.05\n", "T = 50\n", "y0 = np.array([1.,0.])" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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za+p4eqbp+h3hoKAWkaOycvsernxiASkd45k9dTyZnRO9LilqKahF5IitKa7kyicWkBgfx+yp4+nbNcnrkqKaglpEjsj6kkqumPEl8XHGrKnj6ddNIR1uCmoRabW1Oyq5bPoCzAIhfVz3Tl6XFBMU1CLSKvnbK7hs+pe0M5g9dRwD0pO9LilmKKhF5LCWFZZz+fQv6di+HXN+eIou/N/GtBSXiBxS7qZdXPPUV3TpFM+s63Xg0AsKahE5qC82lHHdM1+RkdqRWVPH0StNU/C8oKEPETmgj9eWcs1TC8nsnMgL08YrpD2kHrWI/Is3VhRxy/NLGdAjmeeuG6vTwj2mHrWI/JNZC7Zw06zFDM9MZfbUcQppH1CPWkSAwEK0f/5oA/e9vYazhqTz5ytOIilBEeEH+lsQEZqbHfe+sYonPt3IxaN6c/+lI4mP03+4/UJBLRLjGpqa+eVLy5m7eBvXfCOLOycNo52Wz/IVBbVIDKttaOLmWYt5b1UJt547mB9PGKiFaH3osEFtZh2BT4AOwf1fdM7dFe7CRCS8yqrqmPpsLksKy/mvycP5/vj+XpckB9GaHnUdMME5V2Vm8cCnZvamc+7LMNcmImGycWc11zy1kOKKWh694iQmDu/ldUlyCIcNauecA6qCD+ODNxfOokQkfBZt3sX1z+R+fQW8Mf27eF2SHEarDuuaWZyZLQVKgHedcwsOsM80M8s1s9zS0tIQlykiofDGiiIuf3wBaYnxzL3hGwrpCNGqoHbONTnnRgF9gLFmNvwA+0x3zuU453LS09NDXKaIHAvnHDPmFwROZOmdytwbTyVL15KOGEc068M5V25mHwITgbzwlCQiodTY1Mw9r6/k2S82c8Hwnjz43VF0jI/zuiw5Aq2Z9ZEONARDOhE4F/h92CsTkWNWsbeBm2Yt5tP1O5l6+nHcfsHxmiMdgVrTo+4FPGNmcQSGSuY4514Pb1kicqw2lFZx/TO5bN29lz9cMoIpOX29LkmOUmtmfSwHRrdBLSISIp+sLeWmWYtJiGvHrKnjOTmrq9clyTHQmYkiUcQ5x9Ofb+K/Xl/J4IwUHr8qRyuyRAEFtUiUqG9s5q7X8pi9sJBzh2Xw0HdH0amDfsWjgf4WRaJAcUUtN8xcxJIt5dx41gD+/bwhOmgYRRTUIhHuiw1l/Hj2Ymrqm/jzFSdx4Yk6HTzaKKhFIlTgJJaN/O6t1fTvlsTz08YzsEeK12VJGCioRSJQdV0jt720nL8vL2LiCT2579IRpHSM97osCRMFtUiEKSit4od/XcSG0ip+OXEoPzozW9eQjnIKapEI8urSbfx67go6xMfx1+vGcerA7l6XJG1AQS0SAWobmrh7Xj6zFxYypn8X/nT5aDI7J3pdlrQRBbWIz60vqeSmmUtYs6OSG84awK3nDtbCszFGQS3iYy8u2sodr+SRlBDHMz8Yy5mDdQnhWKSgFvGh6rpG7ng1j7mLtzE+uysPXzaajNSOXpclHlFQi/jM0sJyfvbCUjaVVXPLOYP48YRBxOksw5imoBbxicamZv73ww386YN19EztyOyp4xmf3c3rssQHFNQiPrC5rJpbXljKki3lTB7Vm7svHk5aok5gkQAFtYiHnHP8LXcrd8/Lp1074+HLRnHxqEyvyxKfUVCLeGRXdT23z13O2/k7OCW7G3+cMpLemhstB6CgFvHAGyuKuOOVPPbUNvDrC4dy/WnZuiypHJSCWqQNlVXVceer+fx9RRHDM1OZeek4hvZM9bos8TkFtUgb+fvyIu54NY/K2gZ+cf4Qpp2RrTMMpVUU1CJhVlpZx52v5vFmXjEj+qRx3yXjGdJT142W1lNQi4SJc45Xl27n7nn5VNc1cdvEIUw7PZv26kXLEVJQi4TB5rJq/vOVPOav28nIvp25/5IRDMpQL1qOjoJaJITqG5t5fH4Bf3p/HfFx7bjn4hO4Ylx/nQIux0RBLRIiX23axa/nrmBdSRUXntiTuy46QRdSkpBQUIsco4q9DfzurVXMXlhIZudEnrwmhwlDM7wuS6KIglrkKDU3O/62qJA/vLWG8poGpp2RzS3nDCIpQb9WElqH/UaZWV/gWSADcMB059zD4S5MxM+WbNnNXa/ls3xrBSdndeE33z6BE3qneV2WRKnW/NPfCPzcObfYzFKARWb2rnNuZZhrE/Gd0so6fv/Wal5ctJWM1A48fNkovj2yt1YBl7A6bFA754qAouD9SjNbBWQCCmqJGQ1NzTzz+SYefm8dtY1N/OjMAdw8YSDJHTTMIeF3RN8yM8sCRgMLDvDcNGAaQL9+/UJRm4jnnHN8tKaUe99YxfqSKs4aks6dk4aRnZ7sdWkSQ1od1GaWDLwE3OKc27P/88656cB0gJycHBeyCkU8kr+9gv9+YxWfrS8jq1sSM67K4ZvH99Awh7S5VgW1mcUTCOmZzrm54S1JxFtFFTXc//Za5i7ZSufEeH5z0TC+N64/Ce116rd4ozWzPgx4AljlnHsg/CWJeKOytoG/fFzA4/MLcMC0M7K58ayBWhJLPNeaHvWpwPeBFWa2NLjt1865N8JWlUgbqm9s5oWvtvDw++vYWVXPxaN68+/nDaFv1ySvSxMBWjfr41NAg3ISdRqbmnl5yTYefn8dW3fXMPa4rjxx9fGM7NvZ69JE/onmFknMaW52vJlXzAPvrmFDaTUnZqbx28nDOXNwug4Uii8pqCVm7Jtqd/87a8jfvodBPZJ57MqTOP+Engpo8TUFtUQ95xyfrS/joffWkrt5N/26JvHAlJFcPCpTlx+ViKCglqi1rwf9pw/WsWRLOT1TO3Lvd4YzJaev1iqUiKKglqjT3Ox4d9UOHvlgPSu2VZDZOZHfTh7OpTl96NA+zuvyRI6YglqiRlOz4828Ih75YD2riyvp3y2JP/y/EXznpEz1oCWiKagl4tU1NvHq0u385eMNbCitZkB6Jx787kguGtFbC8lKVFBQS8SqqGlg1oItPPXZRkoq6xjaM4VHvjeaC4b30kFCiSoKaok428trePLTjTz/VSFVdY2cNrA79186ktMHddc0O4lKCmqJGKuK9jD9kwLmLduOAyaN6MXU07MZnqmVVSS6KajF15qaHR+sLuHpzzfy2foykhLiuOqULH5wWhZ9uuhaHBIbFNTiSxV7G5iTW8izX26icFcNvdI68ovzh3DluP6kJelqdhJbFNTiK2t3VPL055t4efE2ahqaGHtcV26/4HjOG5ahGRwSsxTU4rmGpmbeX7WDZ7/YzOcbyujQvh2TR2Vy9TeyGNY71evyRDynoBbPFO7ay/NfbWFO7lZKK+vondaR2yYO4bKT+9G1U4LX5Yn4hoJa2tS+3vOshYXMX1eKAWcP6cHlY/tx1pB0DW+IHICCWtrElrJ/9J53VtXRK60jP/3mIKbk9KV350SvyxPxNQW1hE11XSNvrCjipcVb+bJgF+0MJgzN4Hvj+nLm4B46e1CklRTUElLNzY4vCsp4adFW3swrpqahiaxuSfz83MFcktOHXmnqPYscKQW1hERBaRVzF29j7uKtbK+oJaVDeyaPzuSSMZmc1K+LTu0WOQYKajlqJZW1vLG8iNeWbWfxlnLaGZw+KJ1fXRiY99wxXtd+FgkFBbUckfK99byVV8y85dv5YkMZzQ6G9kzh9guGMnl0JhmpHb0uUSTqKKjlsKrrGnl35Q7mLdvOJ+tKaWhyZHVL4uazB3LRyN4MykjxukSRqKaglgOqqmvkozUlvLmimPdX76C2oZleaR259tTjuGhEb4ZnpmrcWaSNKKjla7ur63l31Q7eyS/mk3U7qW9spntyAlNy+nLRyN6M6deFdppSJ9LmFNQxrriilndWFvNWXjELNu6iqdmR2TmRK8f1Z+Lwnozp30XznUU8dtigNrMngUlAiXNuePhLknByzrF2RxXvr97Buyt3sGRLOQADeyRzw5kDmDi8Jyf01rCGiJ+0pkf9NPAI8Gx4S5FwqW1o4ouCMj5YVcIHq0vYVl4DwImZafzi/CGcf0IGA3vogKCIXx02qJ1zn5hZVhvUIiFUXFHLB6tL+GD1Dj5bX0ZNQxOJ8XGcNqg7N08YyNlDetAzTVPpRCJByMaozWwaMA2gX79+oXpbaaW6xiYWbd7N/HU7+XhNKSuL9gCQ2TmRS3P6MGFoD8Znd9NJKCIRKGRB7ZybDkwHyMnJcaF6Xzkw5xwbSqv4ZO1O5q8r5cuCXdQ0NNG+nXFSvy78cuJQvnl8Dwb1SNZ4s0iE06yPCLKrup5P1+/k03WlzF+3k6KKWgCyu3diSk4fThuUzvjsrqR01JqCItFEQe1j5XvrWbhxF18W7OLLgjJWFe/BOUhLjOfUgd34yaB0ThvYnb5dtRq3SDRrzfS82cBZQHcz2wrc5Zx7ItyFxaKKvQ0s2Fj2L8HcoX07crK6cOs5gzl9cDonZqZpbrNIDGnNrI/L26KQWFRWVceizbtZsDEQzCuL/jWYxw/oxog+aXRor4OAIrFKQx9tpLnZUbCzitxNu8ndvJvFm3dTsLMaCATzmP5d+Nk5gxmf3Y2RfRXMIvIPCuowqalvYvnWcnI372bR5t0s3rKb8r0NAHRJimdM/65cmtOXnKwu6jGLyCEpqENgX295WWEFy7aWs6ywnPzte2hsDsxSHJDeifOH9WRMVhfG9O9CdvdOmjInIq2moD5CzjmKKmpZVljOsq0VLCssJ29bBZV1jQB0SohjeGYaU8/IJqd/F07q14UunRI8rlpEIpmC+jBK9tSSv30PK7ZVsHxrOUsLK9hZVQdAfJxxfK9ULh7dm5F9OjOyb2cGpCdrRoaIhJSCOqi52bGprJr87XtYWbQn8HP7nq9DGQJDGGcM7v51KA/tmaJTskUk7GIyqGsbmli3o4r87RVfh/Kqoj3srW8CoH07Y1BGCmcNSWdYr1RO6J3K8b1TSdUZfyLigagO6samZjaVVbOmuIq1OypZu6OSNTsq2bSzmuBxPpI7tOf4XilMyenLsF6pDOudyqCMZM3CEBHfiIqgbm52bCuvYU1xIIjX7qhkTXElBaXV1Dc1A9DOoH+3TgzOSGbSib0Y0jPQU+7XNUnLS4mIr0VUUNfUN7FxZzUbSqsoKK2mYGfV1/f3DVtA4NKegzOSOXNIOkMyUhickcLAHskaTxaRiOS7oHbOUbynNhDEpVVsKP1HMO9bmQTADHqnJTKgRzInZ3UNBHLPFAb1SNbV40QkqvgmqBubmvm3Rz9nQ0kV1S16x50S4shOTyYnqwvfTe9Ldnonsrsnc1z3TiQmqIcsItHPN0HdPq4d2d07cVK/LgxI78SA9GSy05PJSO2gs/hEJKb5JqgBHrpstNcliIj4TjuvCxARkUNTUIuI+JyCWkTE5xTUIiI+p6AWEfE5BbWIiM8pqEVEfE5BLSLic+acC/2bmpUCm4/y5d2BnSEsJxKozdEv1toLavOR6u+cSz/QE2EJ6mNhZrnOuRyv62hLanP0i7X2gtocShr6EBHxOQW1iIjP+TGop3tdgAfU5ugXa+0FtTlkfDdGLSIi/8yPPWoREWlBQS0i4nO+CWozm2hma8xsvZn9yut6wsHMnjSzEjPLa7Gtq5m9a2brgj+7eFljqJlZXzP70MxWmlm+mf00uD1q221mHc1soZktC7b57uD248xsQfA7/oKZJXhdayiZWZyZLTGz14OPo7q9AGa2ycxWmNlSM8sNbgv5d9sXQW1mccD/AhcAw4DLzWyYt1WFxdPAxP22/Qp43zk3CHg/+DiaNAI/d84NA8YDNwX/bqO53XXABOfcSGAUMNHMxgO/Bx50zg0EdgPXeVdiWPwUWNXicbS3d5+znXOjWsyfDvl32xdBDYwF1jvnCpxz9cDzwMUe1xRyzrlPgF37bb4YeCZ4/xlgclvWFG7OuSLn3OLg/UoCv8iZRHG7XUBV8GF88OaACcCLwe1R1WYz6wN8C5gRfGxEcXsPI+Tfbb8EdSZQ2OLx1uC2WJDhnCsK3i8GMrwsJpzMLAsYDSwgytsdHAZYCpQA7wIbgHLnXGNwl2j7jj8E3AY0Bx93I7rbu48D3jGzRWY2Lbgt5N9tXy1uG+ucc87MonK+pJklAy8Btzjn9rRcWT4a2+2cawJGmVln4GVgqLcVhY+ZTQJKnHOLzOwsj8tpa6c557aZWQ/gXTNb3fLJUH23/dKj3gb0bfG4T3BbLNhhZr0Agj9LPK4n5MwsnkBIz3TOzQ1ujvp2AzjnyoEPgVOAzma2r3MUTd/xU4Fvm9kmAsOWE4CHid72fs05ty34s4TAP8hjCcN32y9B/RUwKHiUOAG4DHjN45raymvA1cH7VwOvelhLyAXHKp8AVjnnHmjxVNS228zSgz1pzCwROJfA2PyHwCXB3aKmzc65251zfZxzWQR+dz9wzl1BlLZ3HzPrZGYp++4D5wF5hOG77ZszE83sQgLjXHHAk865e72tKPTMbDZwFoFLIe4A7gJeAeYA/QhcGnaKc27/A44Ry8xOA+YDK/jH+OWvCYxTR2W7zWwEgYNIcQQ6Q3Occ/eYWTaBHmdXYAlwpXOuzrtKQy849PHvzrlJ0d7eYPteDj5sD8xyzt1rZt0I8XfbN0EtIiIH5pehDxEROQgFtYiIzymoRUR8TkEtIuJzCmoREZ9TUEtMMLPOZnaj13WIHA0FtcSKzoCCWiKSglpixe+AAcHrBt/ndTEiR0InvEhMCF6573Xn3HCvaxE5UupRi4j4nIJaRMTnFNQSKyqBFK+LEDkaCmqJCc65MuAzM8vTwUSJNDqYKCLic+pRi4j4nIJaRMTnFNQiIj6noBYR8TkFtYiIzymoRUR8TkEtIuJz/wf7h7S7K4+wEAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Résolution par la méthode d'Euler explicite\n", "t = 0.\n", "y = y0\n", "List_t = [t]\n", "List_y = [y]\n", "q, p = y[0], y[1]\n", "\n", "while t+dt" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Résolution par la méthode d'Euler implicite\n", "t = 0.\n", "y = y0\n", "List_t = [t]\n", "List_y = [y]\n", "q, p = y[0], y[1]\n", " \n", "while t+dt" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Résolution par la méthode de Runge-Kutta 2 (prédicteur-correcteur)\n", "# Le pas de temps est significativement plus grand que les expériences\n", "# précédentes pour pouvoir manifester la croissance de l'energie.\n", "\n", "dt = 0.5\n", "T = 100\n", "t = 0.\n", "y = y0\n", "List_t = [t]\n", "List_y = [y]\n", "q, p = y[0], y[1]\n", "\n", "while t+dt" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Résolution par la méthode d'Euler explicite\n", "t = 0.\n", "y = y0\n", "List_t = [t]\n", "List_y = [y]\n", "q, p = y[0], y[1]\n", "\n", "while t+dt" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "y0 = np.array([0,2.1])\n", "\n", "from scipy.optimize import root\n", "\n", "# Résolution par la méthode d'Euler implicite\n", "# utilisant une fonctionnalité de résolution d'equation scalaire par scipy.optimize.root\n", "\n", "t = 0.\n", "y = y0\n", "List_t = [t]\n", "List_y = [y]\n", "q, p = y[0], y[1]\n", "\n", "while t+dt" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Résolution par la méthode d'Euler symplectique \n", "\n", "y0 = np.array([3.,0.])\n", "dt = 0.001\n", "\n", "t = 0.\n", "y = y0\n", "List_t = [t]\n", "List_y = [y]\n", "q, p = y[0], y[1]\n", " \n", "while t+dt" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "y0 = np.array([3.,0.])\n", "dt = 0.001\n", "\n", "t = 0.\n", "y = y0\n", "List_t = [t]\n", "List_y = [y]\n", "q, p = y[0], y[1]\n", " \n", "while t+dt" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "y0 = np.array([0.,2.1])\n", "dt = 0.01\n", "\n", "t = 0.\n", "y = y0\n", "List_t = [t]\n", "List_y = [y]\n", "q, p = y[0], y[1]\n", " \n", "while t+dt