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@RaitoBezarius
Created April 6, 2020 21:06
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TP5
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# TP5 : Oscillateur de Van der Pol\n",
"\n",
"### Consignes:\n",
"Ce TP est à rendre au plus tard vendredi 3 avril.\n",
"Vous essaierez d'être le plus précis possible pour les représenatations graphiques, en mettant des titres aux figures, des légendes sur les axes des abscisses et des ordonnées, et si besoin des labels associés aux courbes. \n",
"***\n",
"\n",
"On s'intéresse à un circuit oscillant de type RLC où le comportement de la résistance est non-linéaire et dépend d'un paramètre $\\mu$. Le comportement physique du circuit est alors représenté par une équation différentielle du 2nd ordre du type:\n",
"\n",
"$$\\ddot U(t)-\\omega_0f_\\mu(U(t))\\dot U(t)+\\omega_0^2 U(t)=\\omega_0X\\cos(\\omega t),$$\n",
"\n",
"où l'inconnue $U$ est une tension, la fonction $f_\\mu:x\\mapsto \\mu(1-x^2)$ décrit le comportement non linéaire du système, $\\omega_0$ est la pulsation propre du système, et où le second membre $\\omega_0X\\cos(\\omega t)$ correspond à une force d'excitation sinusoidale.\n",
"\n",
"Le paramètre $\\mu$ est réel et varie entre $-1$ et $1$. On le prend pour commencer égal à 1, et on fixe comme conditions initiales:\n",
"\n",
"$$U(0)=0.5 \\text{ et } \\dot U(0)=1.$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1 Oscillateur libre\n",
"\n",
"On commence par considérer dans cette première partie que la force d'excitation est nulle, $X = 0$.\n",
"\n",
"a) Mettre l'équation sous la forme d'un système d'équations du 1er ordre du type $\\dot Y(t) = F_\\mu(Y(t),t)$, en introduisant l'inconnue $I=\\dot U$ et en posant $Y=(U,I)$.\n",
"Pour $\\mu=0$, quelle est la solution exacte?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"REPONSE QUESTION a) :\n",
"\n",
"On a pour solution exacte: $U : t \\mapsto \\dfrac{\\sqrt{2}}{2} \\sin\\left(t + \\dfrac{\\pi}{4}\\right)$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On admet qu'il existe une solution globale de ce système sur $[0,+\\infty[$.\n",
"\n",
"b) Déterminer le(s) point(s) fixe(s) du système.\n",
"\n",
"On a 0 uniquement comme point fixe."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"REPONSE QUESTION b) :"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"c) Importer les fonctions et packages dont vous aurez besoin (math.pi, cos, etc... et numpy, scipy.linalg, scipy.integrate, matplotlib.pyplot...). Définir des constantes $\\mathtt{mu}$ et $\\mathtt{omega0}$, la condition initiale $\\mathtt{Y0}$, et écrire des fonctions python $\\mathtt{fmu}$ et $\\mathtt{Fmu}$ qui correspondent aux fonctions de l'énoncé."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import scipy.linalg as la\n",
"import scipy.integrate as int_\n",
"\n",
"%matplotlib inline\n",
"\n",
"mu = 1\n",
"omega0 = 1\n",
"\n",
"def Fmu_(mu):\n",
" def fmu(x):\n",
" return mu*(1 - x**2)\n",
" \n",
" def inner(Y, t):\n",
" y1, y2 = Y\n",
" return np.array([y2, (omega0 * fmu(y1) * y2) - ((omega0**2) * y1)])\n",
" \n",
" return inner\n",
"\n",
"Fmu = Fmu_(mu)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"d) Définir une fonction $\\mathtt{EulerExp(Y0,T,N)}$ qui à partir d'une condition initiale $Y_0$, d'un temps final $T$ et d'un nombre de subdivisions $N$ calcule l'approximation de la solution par la méthode d'Euler explicite."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"def EulerExp(Y0, T, N, f=Fmu, t0=0):\n",
" h = T/N\n",
" \n",
" pts = np.zeros((N, 2))\n",
" pts[0] = Y0\n",
" \n",
" t = np.linspace(t0, T, N)\n",
" \n",
" for i in range(N - 1):\n",
" pts[i + 1] = pts[i] + (t[i + 1] - t[i])*f(pts[i], t[i])\n",
" \n",
" return pts, t"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On prendra $T=100$ et $N$ suffisamment grand.\n",
"\n",
"e) Calculer l'approximation de la solution avec les données $Y_0$, $T$ et $N$ proposées dans l'énoncé. Tracer ensuite dans deux repères différents mais dans la même figure, en utilisant subplot ou subplots, la tension $U$ et sa dérivée $I$ calculées numériquement en fonction du temps."
]
},
{
"cell_type": "code",
"execution_count": 175,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"Y0 = np.array([0.5, 1])\n",
"T = 100\n",
"N = 1 + 2**10\n",
"def effectuerTraces(EulerExp, T=100, N=2000):\n",
" sol, tps = EulerExp(Y0, T, N)\n",
" \n",
" fig, (axU, axI) = plt.subplots(1, 2, figsize=(15, 5), sharey=True)\n",
" axU.plot(tps, sol[:,0])\n",
" axI.plot(tps, sol[:,1])\n",
" \n",
" axI.set_xlabel(r'Temps ($t$)')\n",
" axU.set_ylabel('Tension $U$')\n",
" axI.set_ylabel('Intensité $\\dot{U} = I$')\n",
" axU.set_title('Tension en fonction du temps')\n",
" axI.set_title('Intensité en fonction du temps')\n",
"\n",
"effectuerTraces(EulerExp, T, N)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"f) Quel comportement a la solution pour $t$ assez grand, par exemple $t\\geq10$?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"REPONSE QUESTION f): On observe des oscillations stables."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"g) Représenter dans l'espace des phases le champ de vecteurs associé à la solution, et la solution numérique obtenue pour chaque valeurs de $\\mu\\in\\{-1,-0.5,0,0.5,1\\}$. On utilisera donc subplots pour diviser la figure en 5 repères."
]
},
{
"cell_type": "code",
"execution_count": 176,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# cellule réponse\n",
"\n",
"fig, axs = plt.subplots(1,5,figsize=(15, 5))\n",
"\n",
"for i, mu in enumerate((-1, -0.5, 0, 0.5, 1)):\n",
" ax = axs[i]\n",
" f = Fmu_(mu)\n",
" sol, tps = EulerExp(Y0, T, N, f)\n",
" x, y = np.linspace(-3, 3), np.linspace(-3, 3)\n",
" # Discrétisation du pavé (-3, 3) × (-3, 3)\n",
" G = np.meshgrid(x, y)\n",
" # Tracé du champ de vecteur et de la sol numérique\n",
" DX, DY = f(G, tps)\n",
" ax.plot(sol[:,0], sol[:,1])\n",
" ax.quiver(G[0], G[1], DX, DY)\n",
" ax.set_ylabel(r'$I = \\dot{U}$')\n",
" ax.set_xlabel(r'$U$')\n",
" ax.set_title(r'PP et CV pour $\\mu = {}$'.format(mu)) #PP: Portrait de phase / CV: Champ de vecteurs."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"h) [Bonus] Trois comportements apparaissent, pour $\\mu<0$, $\\mu=0$ et pour $\\mu>0$. Dans le cas $\\mu>0$, comment interpréter ce cycle limite dans le portrait de phase par rapport au comportement des solutions (voir question 1.f)?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"REPONSE QUESTION h): L'apparition d'un cycle limite stable entraîne la stabilité des oscillations. Le système entretient ses propres oscillations."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"i) On considère le schéma suivant\n",
"$$\n",
"Y_{n+1}=Y_n+hF_{\\mu}\\left(Y_n+\\frac{h}{2}F_{\\mu}(Y_n,t_n),t_n+\\frac{h}{2}\\right), \\tag{S}\n",
"$$\n",
"pour approcher la valeur de $Y(t_n)$ au temps $t_n=n\\frac{T}{N-1}$, pour $0\\leq n\\leq N-1$.\n",
"Quel est le nom de ce schéma?\n",
"Définir une fonction qui à partir d'une condition initiale $Y_0$, d'un temps final $T$ et d'un nombre de subdivisions $N$ calcule l'approximation de la solution en utilisant ce schéma."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"REPONSE QUESTION i): Il s'agit de la méthode du point milieu."
]
},
{
"cell_type": "code",
"execution_count": 177,
"metadata": {},
"outputs": [],
"source": [
"def PointMilieu(Y0, T, N, f=Fmu):\n",
" pts = np.zeros((N, 2))\n",
" pts[0] = Y0\n",
" \n",
" t = np.linspace(0, T, N)\n",
" \n",
" for i in range(N - 1):\n",
" h = t[i + 1] - t[i]\n",
" pts[i + 1] = pts[i] + h*f(pts[i] + (h/2)*f(pts[i], t[i]), t[i] + (h/2))\n",
" \n",
" return pts, t"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"j) Définir une fonction $\\mathtt{Erreur(Y0,T,N)}$ qui calcule $$E(N)=\\left(\\max_{n=0,\\ldots,N-1}|Y(t_n)−Y^e_n|,\\max_{n=0,\\ldots,N-1}|Y(t_n)−Y^m_n|\\right)\\in \\mathbb R^{N}\\times\\mathbb R^N,$$ où $Y(t_n)$, $Y^e_n$, et $Y^m_n$ sont les solutions obtenues avec le solveur python $\\mathtt{odeint}$, Euler explicite et le schéma $(\\text S)$ respectivement, sur une même subdivision $(t_n)_{n=0}^{N-1}$ et évaluées au temps $t_n$."
]
},
{
"cell_type": "code",
"execution_count": 178,
"metadata": {},
"outputs": [],
"source": [
"import time\n",
"def Erreur(Y0, T, N, f=Fmu, tps=None):\n",
" if tps is None:\n",
" tps = np.linspace(0, T, N)\n",
"\n",
" Y_ee, otps = EulerExp(Y0, T, N, f)\n",
" Y_sc, _ = PointMilieu(Y0, T, N, f)\n",
" start = time.time()\n",
" Y_odeint = int_.odeint(f, Y0, tps)\n",
" print('odeint took {:3f} secs for {} pts'.format(time.time () - start, len(tps)))\n",
" \n",
" k = tps.shape[0] // otps.shape[0]\n",
" Y_sub_odeint = Y_odeint[::k]\n",
" Ee = np.max(np.abs(Y_sub_odeint - Y_ee))\n",
" Em = np.max(np.abs(Y_sub_odeint - Y_sc))\n",
" \n",
" return Ee, Em"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"k) Pour chaque valeur de $\\mu\\in\\{-1,0,1\\}$, en utilisant subplots et un dictionnaire comme en 1.g, tracer dans un même repère en échelle log-log les composantes $E_e(N)$ et $E_m(N)$ de l'erreur définie ci-dessus en fonction de $N$. On prendra cette fois-ci comme temps final $T=10$, et on évaluera ces erreurs pour $N=100, 1 000, 10 000$ et $100 000$.\n",
"Tracer de plus les courbes $y=1/N$ et $y=1/N^2$ dans chaque repère."
]
},
{
"cell_type": "code",
"execution_count": 179,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"odeint took 0.000906 secs for 100 pts\n",
"odeint took 0.001067 secs for 1000 pts\n",
"odeint took 0.001539 secs for 10000 pts\n",
"odeint took 0.006546 secs for 100000 pts\n",
"odeint took 0.001145 secs for 100 pts\n",
"odeint took 0.000708 secs for 1000 pts\n",
"odeint took 0.001554 secs for 10000 pts\n",
"odeint took 0.007295 secs for 100000 pts\n",
"odeint took 0.003396 secs for 100 pts\n",
"odeint took 0.002312 secs for 1000 pts\n",
"odeint took 0.003135 secs for 10000 pts\n",
"odeint took 0.008622 secs for 100000 pts\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def comparer(Erreur):\n",
" T = 10\n",
" N = np.array([100, 1_000, 10_000, 100_000])\n",
" fig, axs = plt.subplots(1,3,figsize=(15, 5), sharey=True)\n",
" for i, mu in enumerate((-1, 0, 1)):\n",
" ax = axs[i]\n",
"\n",
" Ee, Em = list(zip(*[Erreur(Y0, T, n, Fmu_(mu)) for n in N]))\n",
" Ee = np.array(Ee)\n",
" Em = np.array(Em)\n",
" \n",
" ax.set_xscale('log')\n",
" ax.set_yscale('log')\n",
" \n",
" ax.set_title(r'Erreur en échelle log-log pour $\\mu = {}$'.format(mu))\n",
" ax.set_xlabel('N') \n",
" ax.set_ylabel('Erreur en valeur absolue ou élément de comparaison')\n",
" ax.plot(N, Ee, label='$E_e(N)$')\n",
" ax.plot(N, Em, label='$E_m(N)$')\n",
" ax.plot(N, 1/np.sqrt(N), label=r'$\\dfrac{1}{\\sqrt{N}}$')\n",
" ax.plot(N, 1/N, label=r'$\\dfrac{1}{N}$'),\n",
" ax.plot(N, 1/N**2, label=r'$\\dfrac{1}{N^2}$')\n",
" ax.legend()\n",
" \n",
"comparer(Erreur)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"l) Quel est le comportement de l'erreur entre l'approximation par Euler explicite et l'approximation calculée par $\\mathtt{odeint}$?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"REPONSE QUESTION l): On constate que l'erreur est décroissante en fonction de $N$ à une vitesse asymptotique entre $\\dfrac{1}{\\sqrt{N}}$ et $\\dfrac{1}{N}$ a priori, pour $\\mu \\in \\{ -1, 0 \\}$ tandis que pour $\\mu = 1$, on observe que l'erreur décroit à une vitesse asymptotique un peu plus haute que $\\dfrac{1}{\\sqrt{N}}$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"m) Quel est le comportement de l'erreur entre l'approximation par le schéma $(\\text S)$ et l'approximation calculée par $\\mathtt{odeint}$? Est-ce étonnant?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"REPONSE QUESTION m): On constate que l'erreur est décroissante en fonction de $N$, on voit que pour $\\mu = -1$, on est très très proche d'une erreur en $\\dfrac{1}{N^2}$, pour $\\mu = -1$, ensuite pour $\\mu = 0$, on observe que cette erreur est comprise entre $\\dfrac{1}{N}$ et $\\dfrac{1}{N^2}$, enfin pour $\\mu = 1$, il en va de même sauf pour les $N$ petits.\n",
"\n",
"\n",
"Ce n'est pas étonnant, le point milieu est une méthode d'ordre 2."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"n) Modifier la fonction $\\mathtt{Erreur}$ en une fonction $\\mathtt{Erreur}\\_\\mathtt{bis}$ pour que la solution calculée avec $\\mathtt{odeint}$ soit obtenue sur une subdivision $(t_n)_{n=0}^{1000 N}=(n\\frac{T}{1000 N -1})$. Faire attention à bien évaluer les différences entre la solution obtenue avec $\\mathtt{odeint}$ et les schémas d'Euler explicite et $(\\text S)$ à des temps similaires. Puis tracer les mêmes courbes qu'à la question k.\n",
"\n",
"Idée: utiliser $\\mathtt U[:\\,\\,:\\mathtt k]$ permet de ne sélectionner qu'un élément sur $\\mathtt k$ du vecteur $\\mathtt U$."
]
},
{
"cell_type": "code",
"execution_count": 180,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"odeint took 0.008511 secs for 100000 pts\n",
"odeint took 0.052429 secs for 1000000 pts\n",
"odeint took 0.516606 secs for 10000000 pts\n",
"odeint took 7.496629 secs for 100000000 pts\n",
"odeint took 0.005231 secs for 100000 pts\n",
"odeint took 0.053684 secs for 1000000 pts\n",
"odeint took 0.523205 secs for 10000000 pts\n",
"odeint took 6.720122 secs for 100000000 pts\n",
"odeint took 0.007953 secs for 100000 pts\n",
"odeint took 0.057817 secs for 1000000 pts\n",
"odeint took 0.673384 secs for 10000000 pts\n",
"odeint took 6.348625 secs for 100000000 pts\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def Erreur_bis(Y0, T, N, f=Fmu):\n",
" return Erreur(Y0, T, N, f, tps=np.linspace(0, T, 1000*N))\n",
"\n",
"comparer(Erreur_bis)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"o) [Bonus] Que remarque-t-on cette fois-ci à propos du comportement des erreurs?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"REPONSE QUESTION o): \n",
"\n",
"Tout d'abord, pour la méthode d'Euler, on ne voit pas de grandes différences, avec le cas précédent.\n",
"\n",
"En revanche, pour la méthode du point milieu, on voit que l'erreur se rapproche du $\\dfrac{1}{N}$ lorsque $N$ devient assez grand pour $\\mu \\in \\{ -1, 0 \\}$ mais pour $\\mu = 1$, on passe au dessus des $\\dfrac{1}{N}$ et on est plutôt en $\\dfrac{1}{\\sqrt{N}}$.\n",
"\n",
"Ce n'est pas étonnant à nouveau puisque `odeint` a beaucoup plus de points, tandis que le point milieu et Euler explicite ne se comporterait pas mieux avec moins de points dans ce cas là."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2 Oscillateur forcé\n",
"\n",
"On regarde maintenant ce qu'il se passe lorsque le système est excité par une force sinusoïdale. On pose $X = 4$ et $\\omega=\\pi$.\n",
"\n",
"a) Adapter la fonction $\\mathtt{Fmu}$ en une fonction $\\mathtt{Fmu}\\_\\mathtt{bis}$ qui prend en compte le second membre, et définir les constantes $X$ et $\\omega$."
]
},
{
"cell_type": "code",
"execution_count": 181,
"metadata": {},
"outputs": [],
"source": [
"def Fmu_bis_(mu, X=4, omega=np.pi):\n",
" def fmu(x):\n",
" return mu*(1 - x**2)\n",
" \n",
" def inner(Y, t):\n",
" u, udot = Y\n",
" \n",
" return np.array([\n",
" udot,\n",
" omega0*fmu(u)*udot - (omega0**2)*u + (omega0)*X*np.cos(omega*t)\n",
" ])\n",
" \n",
" return inner\n",
"\n",
"Fmu_bis = Fmu_bis_(mu)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"b) Adapter la fonction $\\mathtt{EulerExp}$ en une fonction $\\mathtt{EulerExp}\\_\\mathtt{bis}$ qui correspond à $\\mathtt{Fmu}\\_\\mathtt{bis}$.\n",
"Calculer l'approximation numérique de la solution, avec toujours la même condition initiale $Y_0$, $T=100$ et $N$ suffisamment grand.\n",
"Tracer dans deux repères différents mais dans la même figure la tension $U$ et sa dérivée $I$ calculées numériquement en fonction du temps."
]
},
{
"cell_type": "code",
"execution_count": 182,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def EulerExp_bis(Y0, T, N, f=Fmu_bis, t0=0):\n",
" return EulerExp(Y0, T, N, f, t0)\n",
"\n",
"effectuerTraces(EulerExp_bis, T=100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"c) Peut-on tirer la même conclusion que dans la question 1.f sur le comportement de la solution?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"REPONSE QUESTION c): Non, cette fois ci, le caractère périodique n'est pas acquis. Les oscillations ne semblent pas être stables."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"d) Définir une fonction $\\mathtt{EulerExp}\\_\\mathtt{3T}(Y0,T,N)$ qui calcule l'approximation de la solution $Y$ correspondant à la condition initiale $Y_0$ sur l'intervalle $[0,T]$, la solution $Z$ correspondant à la condition initiale $Z_0=Y(T)$ sur l'intervalle $[T,2T]$, et la solution $W$ correspondant à la condition initiale $W_0=Z(T)$ sur l'intervalle $[2T,3T]$.\n",
"L'approximation par Euler explicite de la solution correspondant à la condition initiale $Y_0$ sur l'intervalle $[0,3T]$ est alors définie par\n",
"$$t\\mapsto\n",
"\\left|\\begin{array}{lr}\n",
"Y(t)& 0\\leq t\\leq T\\\\\n",
"Z(t-T)& T\\leq t\\leq 2T\\\\\n",
"W(t-2T)& 2T\\leq t\\leq 3T\n",
"\\end{array}\\right..$$"
]
},
{
"cell_type": "code",
"execution_count": 183,
"metadata": {},
"outputs": [],
"source": [
"# cellule réponse\n",
"def EulerExp_3T(Y0,T,N,f=Fmu_bis):\n",
" Y, _ = EulerExp_bis(Y0, T, N, f)\n",
" Z, _ = EulerExp_bis(Y[-1], 2*T, N, f, t0=T)\n",
" W, _ = EulerExp_bis(Z[-1], 3*T, N, f, t0=2*T)\n",
" return Y,Z,W"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"e) Représenter dans l'espace des phases (mais sans le champ de vecteurs cette fois) la courbe de la solution numérique obtenue pour chaque valeur de $\\mu\\in\\{-1,-0.5,0,0.5,1\\}$, pour $T=10$ et $N=1000$. On tracera en bleu la courbe de $Y$ (pour $0\\leq t\\leq 10$), en rouge la courbe de $Z$ (pour $10\\leq t\\leq 20$) et en vert la courbe de W (pour $20\\leq t\\leq 30$)."
]
},
{
"cell_type": "code",
"execution_count": 187,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 5 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axs = plt.subplots(1,5,figsize=(15, 5))\n",
"\n",
"T = 10\n",
"N = 1 + 2**15\n",
"\n",
"for i, mu in enumerate((-1, -0.5, 0, 0.5, 1)):\n",
" ax = axs[i]\n",
" f = Fmu_bis_(mu)\n",
" Y, Z, W = EulerExp_3T(Y0, T, N, f)\n",
" \n",
" ax.plot(Y[:,0], Y[:,1], color='blue')\n",
" ax.plot(Z[:,0], Z[:,1], color='red')\n",
" ax.plot(W[:,0], W[:,1], color='green')\n",
" ax.set_title(r'PP pour $\\mu = {}$'.format(mu))\n",
" ax.set_ylabel(r'$I = \\dot{U}$')\n",
" ax.set_xlabel(r'$U$')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"f) Commentez ces résultats: observe-t-on des points fixes ou des cycles limite?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"REPONSE QUESTION f):\n",
"\n",
"Lorsque $\\mu < 0$, on observe la convergence vers un point fixe, de plus en plus rapide quand $\\mu$ décroît.\n",
"\n",
"Lorsque $\\mu \\geq 0$, on observe des cycles limites (courbes fermées) de plus en plus complexes quand $\\mu$ croît."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"g) [Bonus] Pour étudier le caractère d'une trajectoire, on peut tracer sa $\\textit{section de Poincaré}$ avec la demi-droite $\\{(0,y),y\\geq0\\}$: l'intersection de cette demi-droite et d'une trajectoire $Y(t)=(U(t),I(t))$ partant d'un point initial $Y_0$ pour $t\\in [0,T]$ avec $T$ grand. On peut alors définir la suite $(I_n)_{n\\geq0}$ des valeurs de l'ordonnée qui correspondent à une abscisse $U=0$ : $I_0$ correspond à la première fois qu'on croise la demi-droite, $I_1$ à la seconde, etc...\n",
"Si cette suite converge vers une valeur $I_*$, c'est que la trajectoire repasse toujours par le point $(0,I_*)$.\n",
"Tracer cette suite pour $X=0$ et pour $X=4$, pour différentes valeurs de $\\mu$, et commenter."
]
},
{
"cell_type": "code",
"execution_count": 165,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"def I_seq(mu, X, T=1000, N=100000, eps=10e-3):\n",
" def I(maxN):\n",
" f = Fmu_bis_(mu, X)\n",
" tps = np.linspace(0, T, N)\n",
" S = int_.odeint(f, Y0, tps)\n",
" \n",
" return S[np.abs(S[:,0]) < eps, 1]\n",
" return I"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"muP = 5\n",
"fig, axs = plt.subplots(1, muP, figsize=(15, 5))\n",
"\n",
"for i, mu in enumerate(np.linspace(-1, 1, muP)):\n",
" ax = axs[i]\n",
" N = 1 + 2**13\n",
" \n",
" eps = 10e-4 if mu < 0 else 10e-4\n",
"\n",
" I_1 = I_seq(mu, 4, eps=eps)(N)\n",
" I_2 = I_seq(mu, 0, eps=eps)(N)\n",
" \n",
" N0, = I_1.shape\n",
" N1, = I_2.shape\n",
" \n",
" ax.plot(np.arange(N0), I_1, linestyle=':', marker='o', label=r'$(I_n)_n$ pour $X = 4$')\n",
" ax.plot(np.arange(N1), I_2, linestyle=':', marker='o', label=r'$(I_n)_n$ pour $X = 0$')\n",
" ax.set_title('Suite $(I_n)_n$ pour $\\mu = {}$'.format(mu))\n",
" ax.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Réponse à g):\n",
"\n",
"Tout d'abord, pour $\\mu < 0$, il semblerait que la suite $(I_n)_n$ pour $X = 4$ ne converge pas a priori, donc on conclut que les trajectoires ne repasseront pas toujours par ce même point. Pas de cycle limite en somme. Ce qui est attendu.\n",
"\n",
"Puis, pour $X = 0$ ($\\mu < 0$), la suite $(I_n)_n$ semble stationnaire égale à $0$, cela semble indiquer que $(0, 0)$ est visité une infinité de fois par les trajectoires, cela semble attendu puisqu'on a des solutions plutôt oscillatoires et périodiques, stables.\n",
"\n",
"À présent, pour $\\mu \\geq 0$, le cas $\\mu = 0$ montre que dans les deux cas $X = 4$ et $X = 0$, on n'a pas de convergence. On peut sûrement relever mieux: pour $X = 0$, il y a deux valeurs d'adhérences $1 + \\varepsilon$ et $-1 - \\varepsilon$ a priori. Tandis que pour $X = 4$, on ne peut rien dire d'évident, il faudrait pousser plus loin le calcul.\n",
"\n",
"Pour $\\mu = \\dfrac{1}{2}$, la suite associée à $X = 0$ à nouveau montre deux valeurs d'adhérences $2$ et $-2$. Ceci paraît cohérent avec les cycles limites stables révélés précédemment pour $\\mu > 0$. Pour $X = 4$, on a à nouveau un comportement moins évident.\n",
"\n",
"Pour $\\mu = 1$, les deux suites montrent deux valeurs d'adhérences distinctement, $-2$ et $2$ pour $X = 0$ et $a$ et $-a$ pour $a = 2 + \\varepsilon$, visiblement.\n",
"\n",
"Pour aller plus loin, on peut mesurer la norme des différences de la suite afin de voir **heuristiquement** si celle-ci est décroissante et donc mène à éventuellement une convergence ou non."
]
}
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