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@fsalamero
Created April 8, 2018 16:21
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Diagramas de Fase
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# DIAGRAMAS DE FASE"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Este notebook tiene el objetivo de dibujar el diagrama de fase de una ecuación del estilo $\\ddot{x} = f(x, \\dot{x})$ , lo que podemos reescribirlo como dos ecuaciones diferenciales de primer orden acopladas, cuando añadimos la primera derivada como una nueva variable. Para hacer coherente la notación con el código (donde pondremos y1 e y2, vamos a referirnos a esas variables como $y_1$ e $y_2$\n",
"\n",
"Como ejemplo usaremos el ejercicio 6.7.2 del libro de Strogatz, para ver que nos sale lo mismo que la resolución que da en su solucionario Zobel. La ecuación es\n",
"\n",
"\\begin{align}\n",
"\\ddot{\\theta} + \\sin{\\theta} = \\gamma\n",
"\\end{align}\n",
"\n",
"Si hacemos primero $\\theta=y_1$ y segundo $\\dot{\\theta}=y_2$ , se transforma en el par\n",
"\n",
"\\begin{align}\n",
"\\dot{y}_1 &= y_2 \\\\[1em]\n",
"\\dot{y}_2 &= -\\sin{y_1}+\\gamma\n",
"\\end{align}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Con esta notación, sabiendo qué representan $y_1$ e $y_2$, el siguiente código generará su diagrama de fase. Para otras ecuaciones, sólo hay que cambiar las expresiones correspondientes y poner los valores de los parámetros que queramos.\n",
"En función del número de puntos elegido, se tardará más o menos en generar el gráfico. Si sólo se quiere ver el gráfico de flujo, se puede comentar con # toda la sección de las trayectorias, y si sólo se quiere ver las trayectorias, se pude comentar con # la sección del flujo."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# La siguiente línea es para que muestre los gráficos en el propio notebook\n",
"\n",
"%matplotlib inline\n",
"\n",
"# Importamos los módulos científicos necesarios\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.integrate import odeint"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1513416e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#### PARÁMETROS ####\n",
"\n",
"# Aquí ponemos los valores de los parámetros que queramos usar.\n",
"\n",
"gamma = 0\n",
"\n",
"#### FUNCIÓN ####\n",
"\n",
"# Aquí va la definición de la(s) función(es) de las ecuaciones diferenciales.\n",
"# Sólo hay que poner en el return los segundos miembros de dichas ecuaciones.\n",
"\n",
"def f(Y, t):\n",
" y1, y2 = Y\n",
" return [y2, -np.sin(y1) + gamma]\n",
"\n",
"#### LÍMITES DEL GRÁFICO, TIEMPOS Y NÚMERO DE PUNTOS ###\n",
"\n",
"# Aquí ponemos los límites de los ejes vertical y horizontal para dibujar la gráfica\n",
"# y el número de puntos en ese intervalo que vamos a usar para hacer los cálculos.\n",
"# También el tiempo inicial, el final y número de pasos, para cuando calculemos las\n",
"# trayectorias, y cuántas de éstas queremos que aparezcan.\n",
"# Para comparar las gráficas con Zobel (página 38), cogemos los límites que aparecen ahí:\n",
"\n",
"xmin, xmax = -8.0, 8.0 # Eje x del gráfico, correspondiente a y1\n",
"ymin, ymax = -8.0, 8.0 # Eje y del gráfico, correspondiente a y2\n",
"npuntos = 20\n",
"tinicial, tfinal = 0.0, 50.0\n",
"ntiempos = 200\n",
"ntrayectorias = 8\n",
"\n",
"#### MALLA DE PUNTOS PARA EL CÁLCULO ####\n",
"\n",
"y1 = np.linspace(xmin, xmax, npuntos)\n",
"y2 = np.linspace(ymin, ymax, npuntos)\n",
"\n",
"Y1, Y2 = np.meshgrid(y1, y2)\n",
"\n",
"###########################\n",
"#### GRÁFICO DEL FLUJO ####\n",
"###########################\n",
"\n",
"# Se trata del gráfico de flechas, que ponemos en color rojo\n",
"# Primero preparamos los datos para usar con la función quiver\n",
"\n",
"t = tinicial\n",
"\n",
"u, v = np.zeros(Y1.shape), np.zeros(Y2.shape)\n",
"\n",
"NI, NJ = Y1.shape\n",
"\n",
"for i in range(NI):\n",
" for j in range(NJ):\n",
" x = Y1[i, j]\n",
" y = Y2[i, j]\n",
" yprime = f([x, y], t)\n",
" u[i,j] = yprime[0]\n",
" v[i,j] = yprime[1]\n",
"\n",
"# Y ahora usamos la función quiver de pyplot...\n",
"# La función quiver es la que se encarga de hacerlo el diagrama de flechas;\n",
"# muestra en cada punto de la malla en el que se calcula, la dirección del\n",
"# vector (en este caso, las derivadas de y1 e y2), para el tiempo indicado.\n",
"# Indica en qué dirección tenderá a desplazarse, según donde se esté.\n",
"\n",
"plt.quiver(Y1, Y2, u, v, color='red')\n",
"\n",
"###################################################\n",
"#### INTEGRACIÓN PARA MOSTRAR LAS TRAYECTORIAS ####\n",
"###################################################\n",
"\n",
"# Aquí, desde varios puntos iniciales, integramos las ecuaciones diferenciales\n",
"# para ver la trayectoria que se seguiría, viendo como siguen el flujo.\n",
"# Lo dibujamos en gris para distinguirlo.\n",
"\n",
"puntosiniciales_y1 = np.linspace(xmin, xmax, ntrayectorias)\n",
"puntosiniciales_y2 = np.linspace(ymin, ymax, ntrayectorias)\n",
"\n",
"for y20 in puntosiniciales_y2:\n",
" for y10 in puntosiniciales_y1:\n",
" # Los tiempos en los que se va a calcular la trayectoria\n",
" tiempos = np.linspace(tinicial, tfinal, ntiempos)\n",
" # Los puntos de partida\n",
" y0 = [y10, y20]\n",
" # Integramos con la función odeint de scipy\n",
" ys = odeint(f, y0, tiempos)\n",
" # Dibujamos la trayectoria\n",
" plt.plot(ys[:,0], ys[:,1], color=\"grey\")\n",
"\n",
"###################################\n",
"#### VISUALIZACIÓN DEL GRÁFICO ####\n",
"###################################\n",
"\n",
"# El gráfico se mostrará con los límites que hemos definido antes.\n",
"\n",
"#plt.axis('scaled') # Descomentar si se quieren ejes proporcionales\n",
"plt.xlim([xmin, xmax])\n",
"plt.ylim([ymin, ymax])\n",
" \n",
"# Ponemos también las etiquetas de los ejes...\n",
"\n",
"plt.xlabel('$y_1$')\n",
"plt.ylabel('$y_2$')\n",
"\n",
"# ... y guardamos el gráfico como un archivo de imagen, mostrándolo también aquí.\n",
"# Indicamos el nombre, una buena resolución para que se vea bien (como se ve en \n",
"# miniatura en el notebook, no se aprecia del todo) y el formato. La imagen queda\n",
"# guardada en el mismo directorio que el notebook.\n",
"# Si no queremos que guarde la imagen, que solo la muestre aquí, comentamos la\n",
"# próxima línea y descomentamos la siguiente.\n",
"\n",
"plt.savefig('diagrama_de_fase.png', dpi=300, format='png')\n",
"#plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Para mostrar que vale para obtener cualquier diagrama de fase de un sistema de dos ecuaciones diferenciales de primer orden acopladas, aquí va el ejercicio 6.1.10 del Zobel, página 35. El código es el mismo que el de la celda anterior; sólo hemos cambiado lo siguiente:\n",
"\n",
"\n",
"Eliminados los parámetros de la sección PARÁMTEROS, pues no hay.\n",
"\n",
"Cambiamos el return de la sección FUNCIÓN para que se adapte a las ecuaciones son $\\dot{x}=y+y^2$, $\\dot{y}=-\\frac{1}{2}x+\\frac{1}{5}y-xy+\\frac{6}{5}y^2$ .\n",
"\n",
"Cambiados los límites de la gráfica para ajustarse a los del libro.\n",
"\n",
"Cambiado el nombre de la imagen de salida."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x151c031f28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#### PARÁMETROS ####\n",
"\n",
"# Aquí ponemos los valores de los parámetros que queramos usar.\n",
"\n",
"\n",
"\n",
"#### FUNCIÓN ####\n",
"\n",
"# Aquí va la definición de la(s) función(es) de las ecuaciones diferenciales.\n",
"# Sólo hay que poner en el return los segundos miembros de dichas ecuaciones.\n",
"\n",
"def f(Y, t):\n",
" y1, y2 = Y\n",
" return [y2 + y2*y2, -0.5*y1 + 0.2*y2 - y1*y2 + 6/5*y2*y2]\n",
"\n",
"#### LÍMITES DEL GRÁFICO, TIEMPOS Y NÚMERO DE PUNTOS ###\n",
"\n",
"# Aquí ponemos los límites de los ejes vertical y horizontal para dibujar la gráfica\n",
"# y el número de puntos en ese intervalo que vamos a usar para hacer los cálculos.\n",
"# También el tiempo inicial, el final y número de pasos, para cuando calculemos las\n",
"# trayectorias, y cuántas de éstas queremos que aparezcan.\n",
"# Para comparar las gráficas con Zobel (página 38), cogemos los límites que aparecen ahí:\n",
"\n",
"xmin, xmax = -4, 3 # Eje x del gráfico, correspondiente a y1\n",
"ymin, ymax = -4, 3 # Eje y del gráfico, correspondiente a y2\n",
"npuntos = 20\n",
"tinicial, tfinal = 0.0, 50.0\n",
"ntiempos = 200\n",
"ntrayectorias = 8\n",
"\n",
"#### MALLA DE PUNTOS PARA EL CÁLCULO ####\n",
"\n",
"y1 = np.linspace(xmin, xmax, npuntos)\n",
"y2 = np.linspace(ymin, ymax, npuntos)\n",
"\n",
"Y1, Y2 = np.meshgrid(y1, y2)\n",
"\n",
"###########################\n",
"#### GRÁFICO DEL FLUJO ####\n",
"###########################\n",
"\n",
"# Se trata del gráfico de flechas, que ponemos en color rojo\n",
"# Primero preparamos los datos para usar con la función quiver\n",
"\n",
"t = tinicial\n",
"\n",
"u, v = np.zeros(Y1.shape), np.zeros(Y2.shape)\n",
"\n",
"NI, NJ = Y1.shape\n",
"\n",
"for i in range(NI):\n",
" for j in range(NJ):\n",
" x = Y1[i, j]\n",
" y = Y2[i, j]\n",
" yprime = f([x, y], t)\n",
" u[i,j] = yprime[0]\n",
" v[i,j] = yprime[1]\n",
"\n",
"# Y ahora usamos la función quiver de pyplot...\n",
"# La función quiver es la que se encarga de hacerlo el diagrama de flechas;\n",
"# muestra en cada punto de la malla en el que se calcula, la dirección del\n",
"# vector (en este caso, las derivadas de y1 e y2), para el tiempo indicado.\n",
"# Indica en qué dirección tenderá a desplazarse, según donde se esté.\n",
"\n",
"plt.quiver(Y1, Y2, u, v, color='red')\n",
"\n",
"###################################################\n",
"#### INTEGRACIÓN PARA MOSTRAR LAS TRAYECTORIAS ####\n",
"###################################################\n",
"\n",
"# Aquí, desde varios puntos iniciales, integramos las ecuaciones diferenciales\n",
"# para ver la trayectoria que se seguiría, viendo como siguen el flujo.\n",
"# Lo dibujamos en gris para distinguirlo.\n",
"\n",
"puntosiniciales_y1 = np.linspace(xmin, xmax, ntrayectorias)\n",
"puntosiniciales_y2 = np.linspace(ymin, ymax, ntrayectorias)\n",
"\n",
"for y20 in puntosiniciales_y2:\n",
" for y10 in puntosiniciales_y1:\n",
" # Los tiempos en los que se va a calcular la trayectoria\n",
" tiempos = np.linspace(tinicial, tfinal, ntiempos)\n",
" # Los puntos de partida\n",
" y0 = [y10, y20]\n",
" # Integramos con la función odeint de scipy\n",
" ys = odeint(f, y0, tiempos)\n",
" # Dibujamos la trayectoria\n",
" plt.plot(ys[:,0], ys[:,1], 'b-', color=\"grey\")\n",
"\n",
"###################################\n",
"#### VISUALIZACIÓN DEL GRÁFICO ####\n",
"###################################\n",
" \n",
"# El gráfico se mostrará con los límites que hemos definido antes\n",
"\n",
"#plt.axis('scaled') # Descomentar si se quieren ejes proporcionales\n",
"plt.xlim([xmin, xmax])\n",
"plt.ylim([ymin, ymax])\n",
" \n",
"# Ponemos también las etiquetas de los ejes...\n",
"\n",
"plt.xlabel('$y_1$')\n",
"plt.ylabel('$y_2$')\n",
"\n",
"# ... y guardamos el gráfico como un archivo de imagen, mostrándolo también aquí.\n",
"# Indicamos el nombre, una buena resolución para que se vea bien (como se ve en \n",
"# miniatura en el notebook, no se aprecia del todo) y el formato. La imagen queda\n",
"# guardada en el mismo directorio que el notebook.\n",
"# Si no queremos que guarde la imagen, que solo la muestre aquí, comentamos la\n",
"# próxima línea y descomentamos la siguiente.\n",
"\n",
"plt.savefig('two_eyed_monster.png', dpi=300, format='png')\n",
"#plt.show()"
]
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