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January 2026

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    Física no lineal - 2025

    Section outline

    • Información general
    • 1: Introducción
    • 2: Flujos en la recta
    • 3: Bifurcaciones
    • Artículos pioneros
    • Comunicación científica
    • 4: Flujos en el círculo
    • 5: Sist. lineales (2d)
    • 6: Flujos en el plano
    • 9: Ciclos límites
    • 10: Bifcuraciones (2da. parte)
    • Ecuaciones de Lorenz
    • Mapas unidimensionales
    • Fractales y atractores extraños

    • Flujos en el plano

      En esta sección estudiamos, al igual que en la anterior, flujos en 2 dimensiones. Sin embargo ahora ampliamos el estudio a los flujos nolineales. Los resultados de la sección anterior resultan útiles para estudiar los sistemas nolineales en la cercanía de un punto fijo. Este capítulo es una antesala de los ciclos límites, concepto central en los sistemas nolineales.

      Los objetivos específicos de este capítulo son:

      • Estudiar retratos de fase (phase portraits)

      • Considerar que pasa en las cercanías de los puntos fijos.

      Lectura: capítulo 6 de Strogatz.

      • Flujos en el plano Page
      • Sistemas no lineales en el plano (Clase de S. Strogatz) URL
      • Sistemas conservativos en el plano (Clase de S. Strogatz) URL
      • Teoría de índices (Clase de S. Strogatz) URL
      • T08: Problemas de flujos en el plano (16/10) Assignment
        Opened: Wednesday, 1 October 2025, 12:00 AM
        Due: Monday, 20 October 2025, 11:59 PM
      • T09: Problemas de flujos en el plano (23/10) Assignment
        Opened: Wednesday, 1 October 2025, 12:00 AM
        Due: Friday, 3 October 2025, 11:59 PM
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