Information about textbook, "Introduction to Dynamical Systems"

Part 1: Systems of Nonlinear Differential Equations | |
---|---|

Linear Systems | |

Linear systems in 2 dimensions: numerical plot | |

Linear systems in 3 dimensions: numerical plot | |

Numerical Methods | |

Numerical solutions for scalar equation: Euler, Improved Euler, Runge-Kutta | |

Numerical solutions for two dimensional system of equation: Euler, Improved Euler, Runge-Kutta | |

One dimensional plots | |

Plot of one dimensional solutions | |

Two dimensional plots | |

Phase portrait for nonlinear system in the plane | |

Phase portrait for competitive system (coexistence) | |

Phase portrait for Lienard system: contains (t,x)-plot | |

Three dimensional plots | |

Phase portrait for Lorenz system | |

Phase portrait for 3 dimensional system (Rossler system) | |

Poincare map for the forced duffing equation |