{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Sistemas dinámicos, Complejidad y Caos con Python" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Esta notebook fue creada originalmente como un blog post por [Raúl E. López Briega](https://relopezbriega.com.ar/) en [Matemáticas, Analisis de datos y Python](https://relopezbriega.github.io). El contenido esta bajo la licencia BSD.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Sistemas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> \"LLamamos *caos* al orden que todavía no comprendemos\"\n", "\n", "**[Edward Lorenz](https://es.wikipedia.org/wiki/Edward_Lorenz)**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introducción\n", "\n", "Vivimos en un mundo tan bello como complejo. El enfoque tradicional de la ciencia,que busca generalmente reducir a los sistemas complejos en cada una de sus partes, comprender cada parte, y luego entender todo el sistema, parece no ser suficiente. Cuando las partes comienzan a conectarse e interactuar entre sí, las bases científicas de este enfoque comienzan a fallar, y se torna casi imposible predecir el comportamiento del sistema. Los simples supuestos como la [linealidad](https://es.wikipedia.org/wiki/Lineal#Sistemas_lineales), la independencia, o la [distribución normal](https://es.wikipedia.org/wiki/Distribuci%C3%B3n_normal) parecen no ser de mucha utilidad a la hora de modelar los fenómenos incluso más sencillos del mundo que nos rodea. Es a partir de esta realidad, que nuevos enfoques se comenzaron a desarrollar y surgieron nuevos campos de estudio multidisciplinarios como los [sistemas dinámicos](https://es.wikipedia.org/wiki/Sistema_din%C3%A1mico), la [complejidad](https://es.wikipedia.org/wiki/Complejidad), o la [teoría del caos](https://es.wikipedia.org/wiki/Teor%C3%ADa_del_caos). \n", "\n", "\n", "## ¿Qué es un sistema complejo?\n", "\n", "Es difícil definir rigurosamente que es un [Sistema complejo](https://es.wikipedia.org/wiki/Sistema_complejo), podemos decir que es un campo de investigación interdisciplinario que busca explicar cómo un gran número de entidades relativamente simples (las cuales generalmente se denominan *agentes*) se organizan, sin el beneficio de ningún controlador central, en un todo colectivo que crea patrones, usa información y, en algunos casos, evoluciona y aprende. Es el caso típico en que ***el todo es mucho más que la suma de sus partes***. Aunque no existe una buena definición de que es un [Sistema complejo](https://es.wikipedia.org/wiki/Sistema_complejo), si podemos describir algunas de las características principales que poseen estos sistemas, como ser:\n", "\n", "* **El sistema contiene una colección de muchos *agentes* que interactúan.** Las interacciones entre estos *agentes* pueden surgir porque están físicamente cerca el uno del otro, o porque son miembros de algún tipo de grupo, o porque comparten alguna información común. En la medida en que los *agentes* están vinculados entre sí a través de sus interacciones, también se puede pensar que forman parte de una [red o grafo](https://es.wikipedia.org/wiki/Teor%C3%ADa_de_grafos). Por lo que el [análisis de redes](https://es.wikipedia.org/wiki/An%C3%A1lisis_de_redes) es una herramienta importante para comprender estos sistemas. \n", "\n", "* **El comportamiento de estos *agentes* se ve afectado por una memoria o [retroalimentación](https://es.wikipedia.org/wiki/Realimentaci%C3%B3n).** Esto significa que algo del pasado afecta algo en el presente, o que algo que sucede en un lugar afecta lo que está sucediendo en otro, en otras palabras, una especie de efecto de arrastre. El resultado neto de que todos tengan tal memoria puede ser que el sistema como un todo también recuerde. Por lo tanto, un *patrón o secuencia global* particular puede manifestarse en el sistema.\n", "\n", "* **Los *agentes* pueden adaptar sus estrategias de acuerdo a su historia.** Esto simplemente significa que un *agente* puede adaptar su comportamiento por sí mismo, con la esperanza de mejorar su rendimiento.\n", "\n", "* **El sistema es típicamente *abierto*.** Es decir, que el sistema puede ser influenciado por su entorno.\n", "\n", "Así mismo, en el comportamiento característico de los [Sistemas complejos](https://es.wikipedia.org/wiki/Sistema_complejo), podemos observar los siguientes rasgos:\n", "\n", "* **El sistema parece estar *vivo*.** El sistema evoluciona de una manera no trivial y, a menudo complicada, impulsada por una [ecología](https://es.wikipedia.org/wiki/Ecolog%C3%ADa) de *agentes* que interactúan y se adaptan bajo la influencia de la *retroalimentación*. \n", "\n", "* **El sistema exhibe fenómenos *emergentes* que generalmente son sorprendentes y pueden ser extremos.** En terminología científica, el sistema está lejos de alcanzar un *equilibrio*. Esto básicamente significa que cualquier cosa puede suceder, y si se espera lo suficiente, generalmente lo hará. Tales fenómenos generalmente son inesperados en términos de cuándo surgen, de ahí su aspecto de sorpresa. Pero el sistema también tenderá a exhibir fenómenos emergentes que a su vez son sorprendentes en el sentido de que no podrían haber sido predichos en base al conocimiento de las propiedades de los *agentes* individuales.\n", "\n", "* **Los fenómenos emergentes suelen surgir en ausencia de cualquier tipo de *mano invisible* o controlador central.** En otras palabras, un [Sistema complejo](https://es.wikipedia.org/wiki/Sistema_complejo) puede evolucionar de una manera complicada por sí mismo. Por esta razón, a menudo se considera que los [Sistemas complejos](https://es.wikipedia.org/wiki/Sistema_complejo) son mucho más que la suma de sus partes. \n", "\n", "* **El sistema muestra una mezcla complicada de comportamiento ordenado y desordenado.** De manera más general, todos los [Sistemas complejos](https://es.wikipedia.org/wiki/Sistema_complejo) parecen poder moverse entre el *orden* y el *desorden* por su propia cuenta.\n", "\n", "\n", "## ¿Qué es la teoría del caos?\n", "\n", "La [teoría del caos](https://es.wikipedia.org/wiki/Teor%C3%ADa_del_caos), más que una teoría, es un *paradigma* que supuso en su momento una gran revolución científica, al reflejar que muchos sistemas que eran considerados [deterministas](https://es.wikipedia.org/wiki/Determinismo) y previsibles tenían severos límites en dicha previsibilidad. Es decir, que no eran tan útiles como se creía a la hora de predecir eventos futuros. Iniciada por [Henri Poincaré](https://es.wikipedia.org/wiki/Henri_Poincar%C3%A9) y popularizada gracias al trabajo del matemático y meteorólogo [Edward Lorenz](https://es.wikipedia.org/wiki/Edward_Lorenz), la [teoría del caos](https://es.wikipedia.org/wiki/Teor%C3%ADa_del_caos) se ha utilizado en campos como las matemáticas y la meteorología para explicar la inexactitud y la dificultad para obtener resultados previsibles de la realidad.\n", "\n", "### El efecto mariposa \n", "Esta teoría es ampliamente conocida por lo que se denomina el ***efecto mariposa***, según el cual ***el débil aleteo de una mariposa puede ser la causa de un huracán a miles de kilómetros de distancia***. Se indica de este modo que la existencia de una variable concreta puede provocar o alterar otras, influyéndose progresivamente hasta obtener un resultado fuera de lo esperado. En síntesis, podemos considerar que la [teoría del caos](https://es.wikipedia.org/wiki/Teor%C3%ADa_del_caos) establece que pequeños cambios en las *condiciones iniciales* crean grandes diferencias respecto al resultado final, con lo que una gran mayoría de los sucesos y sistemas no resultan totalmente predecibles.\n", "\n", "Es importante tener en cuenta que a pesar de las apariencias, el *caos* al que se refiere esta teoría no implica una falta de orden, sino que los hechos y la realidad no se ajustan a un [modelo lineal](https://es.wikipedia.org/wiki/Modelo_lineal). \n", "\n", "\n", "## El mapa logístico\n", "\n", "Para entender mejor qué es el [caos](https://es.wikipedia.org/wiki/Teor%C3%ADa_del_caos) exploremos el famoso [mapa logístico](https://es.wikipedia.org/wiki/Aplicaci%C3%B3n_log%C3%ADstica), sin duda una de las ecuaciones más famosas en la ciencia de los sistemas dinámicos. El [mapa logístico](https://es.wikipedia.org/wiki/Aplicaci%C3%B3n_log%C3%ADstica) representa un modelo sencillo para intentar explicar la dinámica de una población de la que se ha supuesto que tiene un crecimiento cada vez más lento a medida que se acerca a una cantidad de individuos considerada como límite. El modelo simplifica al combinar los efectos de la tasa de natalidad y la tasa de mortalidad en un solo número, llamado $R$. El tamaño de la población se reemplaza por un concepto relacionado \"fracción de la capacidad de carga\", llamado $x$. Su expresión matemática es la siguiente:\n", "\n", "$$x_{t+1} = Rx_t(1 - x_t)$$\n", "\n", "Esta ecuación define las reglas o dinámicas de nuestro sistema: $x$ representa la población en un momento dado $t$, y $R$ representa la tasa de crecimiento. En otras palabras, el nivel de población en un momento dado es una función del parámetro de la tasa de crecimiento y el nivel de población del intervalo de tiempo anterior. Si la tasa de crecimiento es demasiado baja, la población se extinguirá. Las tasas de crecimiento más altas podrían establecerse hacia un valor estable o fluctuar a través de una serie de auges y declives de la población.\n", "Como podemos ver, es una ecuación muy simple! la más simple en capturar la esencia del [caos](https://es.wikipedia.org/wiki/Teor%C3%ADa_del_caos)!\n", "\n", "El [mapa logístico](https://es.wikipedia.org/wiki/Aplicaci%C3%B3n_log%C3%ADstica) se vuelve muy interesante a medida que vamos variando el valor de $R$; veamos algunos ejemplos numéricos con la ayuda de [Python](https://www.python.org/) y la librería [pynamical](https://pynamical.readthedocs.io/en/latest/)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# \n", "# Importando las librerías que vamos a utilizar\n", "import pandas as pd\n", "import numpy as np\n", "from fractal import Fern, Lorentz\n", "from pynamical import simulate, bifurcation_plot, phase_diagram, phase_diagram_3d\n", "import matplotlib.pyplot as plt\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "# graficos incrustados\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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0.000 0.042 0.333 0.500 0.600 0.710 0.827" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# modelo logistico para 20 generaciones con 7 tasas de crecimiento entre 0.5 y 3.5.\n", "poblacion = simulate(num_gens=20, rate_min=0.5, rate_max=3.5, num_rates=7)\n", "poblacion.applymap(lambda x: '{:03.3f}'.format(x))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Graficando los resultados\n", "colores = ['yellow', 'green', 'blue', 'peru', 'black', 'red', 'grey']\n", "for color, tasa in reversed(list(zip(colores, poblacion.columns))):\n", " ax = poblacion[tasa].plot(kind='line', figsize=[10, 6], linewidth=2.5, alpha=0.95, c=color)\n", "ax.grid(True)\n", "ax.set_ylim([0, 1])\n", "ax.legend(title='Tasa de Crecimiento', loc=3, bbox_to_anchor=(1, 0.525))\n", "ax.set_title('Resultados del modelo logistico por tasa de crecimiento')\n", "ax.set_xlabel('Generacion')\n", "ax.set_ylabel('Populacion')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Atractores\n", "\n", "Hasta aquí, el sistema parece tener un comportamiento bastante predecible y parece ser estable.\n", "En los [sistemas dinámicos](https://es.wikipedia.org/wiki/Sistema_din%C3%A1mico), un [Atractor](https://es.wikipedia.org/wiki/Atractor) es un valor, o conjunto de valores hacia los que el sistema tienen a evolucionar en el tiempo y estabilizarse. En nuestro ejemplo, cuando el parámetro de crecimiento es 0.5, el sistema tiene un [Atractor](https://es.wikipedia.org/wiki/Atractor) de *punto fijo* en el nivel de población 0 como se muestra en la línea amarilla. En otras palabras, el valor de la población tiende a 0 con el tiempo a medida que el modelo va evolucionando. Cuando el parámetro de tasa de crecimiento es 3.5, el sistema oscila entre cuatro valores, como se muestra en la línea gris. Este otro [Atractor](https://es.wikipedia.org/wiki/Atractor) se llama de *ciclo límite*.\n", "\n", "Lo verdaderamente interesante se produce cuando aumentamos el valor de la tasa de crecimiento a un valor superior a 4, en ese momento el sistema se vuelve caótico!\n", "\n", "\n", "## Diagrama de bifurcación\n", "\n", "Para poder ver claramente como el sistema evoluciona hacia un comportamiento caótico, en los [sistemas dinámicos](https://es.wikipedia.org/wiki/Sistema_din%C3%A1mico) se suele recurrir a la ayuda de un [diagrama de bifurcación](https://es.wikipedia.org/wiki/Diagrama_de_bifurcaci%C3%B3n). Analizando la evolución de nuestra función, podemos ver que en las diferentes iteraciones con los valores de $R$ entre 0.5 y 4.0; el sistema fue evolucionando hacia [Atractor](https://es.wikipedia.org/wiki/Atractor) de *punto fijo*, luego hacia otro de *ciclo límite* de 2 valores, un siguiente de 4, luego otro de 8, y así sucesivamente hasta llegar al [caos](https://es.wikipedia.org/wiki/Teor%C3%ADa_del_caos). Cada uno de estos ciclos son llamadas *bifurcaciones*. \n", "Estas bifurcaciones a menudo se resumen en un llamado [diagrama de bifurcación](https://es.wikipedia.org/wiki/Diagrama_de_bifurcaci%C3%B3n) que traza el [Atractor](https://es.wikipedia.org/wiki/Atractor) en el que termina el sistema en función del valor de un \"parámetro de control\", que en nuestro caso es el valor de la tasa de crecimiento $R$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Modelo con 100 generaciones haciendo crecer R en 1000 pasos.\n", "pops = simulate(num_gens=100, rate_min=0, rate_max=4, num_rates=1000, num_discard=1)\n", "#Graficando el diagrama de bifurcación\n", "bifurcation_plot(pops)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Como se puede ver en el gráfico, en algún punto más allá de un valor de $R$ de 3.5 las bifurcaciones se vuelven caóticas y se vuelve imposible de predecir.\n", "\n", "## Edward Lorenz, no linealidad y los atractores extraños\n", "\n", "No se puede escribir un artículo sobre [caos](https://es.wikipedia.org/wiki/Teor%C3%ADa_del_caos), sin mencionar a \n", "[Edward Lorenz](https://es.wikipedia.org/wiki/Edward_Lorenz) quien fuera uno de sus pioneros. [Lorenz](https://es.wikipedia.org/wiki/Edward_Lorenz) se topó con las particularidades del [caos](https://es.wikipedia.org/wiki/Teor%C3%ADa_del_caos) al trabajar en modelos matemáticos para intentar predecir el clima (algo que ni siquiera podemos hacer bien hoy en día!). Fue el primero en notar (se podría decir que por accidente) el fenómeno de la dependencia sensible a los valores de las condiciones iniciales de algunos sistemas. La característica principal de estos sistemas es su *no linealidad*. Un sistema es *lineal* cuando podemos comprender sus partes individualmente y luego unirlas en un todo coherente. Las *relaciones lineales* se pueden capturar con una línea recta en un gráfico; son fáciles de pensar: cuanto más, mejor. Las *ecuaciones lineales* se pueden resolver, lo que las hace adecuadas para libros de texto. En cambio, un sistema *no lineal* es aquel en el que el todo es diferente de la suma de las partes; no se pueden resolver o expresar con claridad en un gráfico. Son la pesadilla de cualquier matemático.\n", "Profundizando en el estudio de estos sistemas *no lineales* y su [complejidad](https://es.wikipedia.org/wiki/Complejidad), [Lorenz](https://es.wikipedia.org/wiki/Edward_Lorenz) simplificó algunas ecuaciones de dinámica de fluidos (llamadas [ecuaciones de Navier-Stokes](https://es.wikipedia.org/wiki/Ecuaciones_de_Navier-Stokes)) y terminó con un conjunto de tres ecuaciones *no lineales*:\n", "\n", "$$\\frac{dx}{dt} = P(y-x)$$\n", "\n", "$$\\frac{dy}{dt} = x(R-z) - y$$\n", "\n", "$$\\frac{dz}{dt} = xy - cz$$\n", "\n", "donde $P$ es el [número de Prandtl](https://es.wikipedia.org/wiki/N%C3%BAmero_de_Prandtl) que representa la relación entre la viscosidad del fluido y su conductividad térmica; $R$ es el [número de Rayleigh](https://es.wikipedia.org/wiki/N%C3%BAmero_de_Rayleigh) y representa la diferencia de temperatura entre la parte superior e inferior del sistema, . Los valores que utilizó [Lorenz](https://es.wikipedia.org/wiki/Edward_Lorenz) fueron $P = 10$, $R = 28$ y $c = 8/3$.\n", "\n", "En la superficie, estas tres ecuaciones parecen fáciles de resolver. Sin embargo, representan un sistema dinámico extremadamente complicado. Al graficar los resultados en un [espacio fásico](https://es.wikipedia.org/wiki/Espacio_f%C3%A1sico); nos encontramos con lo que hoy se conoce como el [Atractor de Lorenz](https://es.wikipedia.org/wiki/Atractor_de_Lorenz).\n", "\n", "El [Atractor de Lorenz](https://es.wikipedia.org/wiki/Atractor_de_Lorenz) es un ejemplo de un *atractor extraño*. Los [atractores extraños](https://en.wikipedia.org/wiki/Attractor#Strange_attractor) son únicos en comparación a los otros [Atractores](https://es.wikipedia.org/wiki/Atractor) mencionados, en el sentido en que uno no sabe exactamente en qué parte del [Atractor](https://es.wikipedia.org/wiki/Atractor) estará el sistema. Dos puntos en el [Atractor](https://es.wikipedia.org/wiki/Atractor) que están cerca uno del otro al mismo tiempo estarán arbitrariamente separados en momentos posteriores. La única restricción es que el estado del sistema permanezca en el atractor. Los atractores extraños también son únicos porque nunca se cierran sobre sí mismos y el movimiento del sistema nunca se repite. Los [atractores extraños](https://en.wikipedia.org/wiki/Attractor#Strange_attractor) tienen una estructura [fractal](https://relopezbriega.github.io/blog/2020/03/24/fractales-con-python/).\n", "\n", "\n", "\n", "Esta imagen mágica del [Atractor de Lorenz](https://es.wikipedia.org/wiki/Atractor_de_Lorenz), que se asemeja a las alas de una mariposa, se convirtió en un emblema para los primeros exploradores del [caos](https://es.wikipedia.org/wiki/Teor%C3%ADa_del_caos). Reveló la fina estructura oculta dentro de un flujo desordenado de datos.\n", "\n", "\n", "## El juego del caos\n", "\n", "Siempre me han fascinado el azar y los procesos aleatorios, tal cual refleja la frase de [Lorenz](https://es.wikipedia.org/wiki/Edward_Lorenz) que abre el artículo; como a pesar de tener un comportamiento errático y que desafía toda lógica, parecen seguir un orden subyacente que no llegamos a captar del todo. Y nada mejor para captar ese sentimiento que el [juego del caos](https://en.wikipedia.org/wiki/Chaos_game) de [Barnsley](https://en.wikipedia.org/wiki/Michael_Barnsley).\n", "\n", "Para jugar al [juego del caos](https://en.wikipedia.org/wiki/Chaos_game) solo se necesita papel, lápiz y una moneda. Se elige un punto de partida en algún lugar del papel, no importa donde; y luego se inventan dos reglas, una regla de cara y una regla de cruz. Cada una de estas reglas nos dirán cómo dibujar nuevos puntos. Por ejemplo \"Muévase dos centímetros hacia el noreste\" o \"Muévase 25 por ciento más cerca del centro\". Ahora solo debemos comenzar a lanzar la moneda al aire y dibujar puntos en el papel, usando la regla de cara cuando la moneda sale cara y la regla de cruz cuando sale cruz. A medida que se van acumulando los puntos en el papel, vamos a poder observar que describen una cierta figura...la cual se va haciendo más clara a medida que aumenta el número de puntos.\n", "\n", "La idea sobre la que descansa el [juego del caos](https://en.wikipedia.org/wiki/Chaos_game), es hacer uso de 2 propiedades de los [fractales](https://relopezbriega.github.io/blog/2020/03/24/fractales-con-python/) (para conocer más sobre fractales pueden visitar mi [artículo anterior](https://relopezbriega.github.io/blog/2020/03/24/fractales-con-python/)). En primer lugar, que los [fractales](https://relopezbriega.github.io/blog/2020/03/24/fractales-con-python/) existen como un límite a *un proceso aleatorio*. Por analogía, uno podría imaginar un mapa de Argentina dibujado con tiza en el piso de una habitación. Un [topógrafo](https://es.wikipedia.org/wiki/Topograf%C3%ADa) con herramientas estándar encontraría complicado medir el área de estas formas incómodas, con costas fractales. Pero supongamos que se arrojaran granos de arroz al aire uno por uno, lo que les permitiría caer al suelo al azar y que luego se contaran los granos que caen dentro del mapa. A medida que pasa el tiempo, el resultado comienza a acercarse al área de las formas, como el límite de un proceso aleatorio. En términos dinámicos, las formas de [Barnsley](https://en.wikipedia.org/wiki/Michael_Barnsley) demostraron ser [Atractores](https://es.wikipedia.org/wiki/Atractor).\n", "La segunda propiedad de los [fractales](https://relopezbriega.github.io/blog/2020/03/24/fractales-con-python/) que utiliza el [juego del caos](https://en.wikipedia.org/wiki/Chaos_game) es esta cualidad de estar formados por pequeñas copias de la imagen principal. En este sentido, mientras más [fractal](https://relopezbriega.github.io/blog/2020/03/24/fractales-con-python/) es la imagen, más simples van a ser las reglas subyacentes para construirlas.\n", "\n", "Para demostrar como funciona el juego del caos, podemos ayudarnos de [Python](https://www.python.org/) para generar el famoso helecho de [Barnsley](https://en.wikipedia.org/wiki/Michael_Barnsley). Al utilizar primero 1000 puntos, podemos apreciar que parece generarse una imagen, pero su forma todavía no es nítida...cuando utilizamos 60000 puntos ya podemos ver con claridad la forma de la hoja de un helecho." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Dibujar una hoja de helecho utilizando el juego del caos de Barnsley con 10000 puntos\n", "fern = Fern()\n", "fern.plot(1000)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Dibujar una hoja de helecho utilizando el juego del caos de Barnsley con 60000 puntos\n", "fern = Fern()\n", "fern.plot(60000)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Con esto llegamos al final del artículo. La ida central de las ciencias que estudian la naturaleza es hacer de lo maravilloso un lugar común! Mostrar que la [complejidad](https://es.wikipedia.org/wiki/Complejidad), vista correctamente, es sólo una máscara para lo simple!; y encontrar patrones escondidos en el aparente [caos](https://es.wikipedia.org/wiki/Teor%C3%ADa_del_caos)! \n", "\n", "\n", "Saludos!\n", "\n", "*Este post fue escrito por [Raúl e. López Briega](https://relopezbriega.github.io/) utilizando [Jupyter notebook](https://jupyter.org/). Pueden descargar este [notebook](https://github.com/relopezbriega/relopezbriega.github.io/blob/master/downloads/pyComplexity.ipynb) o ver su version estática en [nbviewer](https://nbviewer.ipython.org/github/relopezbriega/relopezbriega.github.io/blob/master/downloads/pyComplexity.ipynb).*" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" }, "toc": { "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }