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Dynamics in Sage = Dynamics in Sage =

== Introduction ==

Different aspects of dynamical systems have to deal with computer

  * simulation and experimentation
  * prospection of combinatorial structure associated to dynamical systems (coded as infinite words, ...)
  * shifts, cellular automata

This page is an organization wiki for the implementation in Sage of various algorithm relative to dynamics.

== Organization ==

We will create a repository **dynamics** in the root of Sage which would contain the following tree of repositories

  * cellular_automata (?)
  * complex_dynamics (?)
  * shifts
    * tilings (WangTile)
    * substitutive shift
      * self similar interval exchange map
    * s-adic shift
      * Sturmian
      * interval exchange maps
  * surface_dynamics
    * flat_surfaces
      * origamis
      * veech_surfaces
      * linear suspensions of iet
    * train_tracks
    * hyperbolic_dynamics
    * hamiltonian flows
      * logarithmic suspensions of iet
  * picewise
    * interval_exchange_transformations and linear_involutions
    * affine_iet
    * interval_translation
    * 2D (?)

== Subprojects ==

  * a project for flat surfaces [[SageFlatProject]]

Dynamics in Sage

Introduction

Different aspects of dynamical systems have to deal with computer

  • simulation and experimentation
  • prospection of combinatorial structure associated to dynamical systems (coded as infinite words, ...)
  • shifts, cellular automata

This page is an organization wiki for the implementation in Sage of various algorithm relative to dynamics.

Organization

We will create a repository **dynamics** in the root of Sage which would contain the following tree of repositories

  • cellular_automata (?)
  • complex_dynamics (?)
  • shifts
    • tilings (WangTile)

    • substitutive shift
      • self similar interval exchange map
    • s-adic shift
      • Sturmian
      • interval exchange maps
  • surface_dynamics
    • flat_surfaces
      • origamis
      • veech_surfaces
      • linear suspensions of iet
    • train_tracks
    • hyperbolic_dynamics
    • hamiltonian flows
      • logarithmic suspensions of iet
  • picewise
    • interval_exchange_transformations and linear_involutions
    • affine_iet
    • interval_translation
    • 2D (?)

Subprojects

dynamics (last edited 2013-11-02 21:51:25 by vdelecroix)