Differences between revisions 3 and 18 (spanning 15 versions)
⇤ ← Revision 3 as of 2010-10-09 11:20:35 →
Size: 1468
Editor: vdelecroix
Comment:
← Revision 18 as of 2013-11-02 21:51:25 → ⇥
Size: 2301
Editor: vdelecroix
Comment:
Deletions are marked like this. Additions are marked like this.
Line 2: Line 2:

This page is an organization wiki for the implementation in Sage of various algorithms related to dynamics.
Line 5: Line 7:
Different aspects of dynamical systems have to deal with computer Different aspects of dynamical systems involve computers
Line 8: Line 10:
  * prospection of combinatorial structure associated to dynamical systems (coded as infinite words, ...)
  * shifts, cellular automata		   * numerical algorithms seen as dynamical systems
 * prospection of combinatorial structures associated to dynamical systems (infinite words, ...)
  * intrinsically discrete dynamics: shifts, cellular automata, ...
  * ...
Line 11: Line 15:
This page is an organization wiki for the implementation in Sage of various algorithm relative to dynamics. All the code produced is on the "combinat" public server and is accessible to anyone interested ([[combinat/Installation|installation instructions]]). For more information about development inside the combinat branch see [[combinat|following page]]. == Quick links ==

  * [[dynamics/examples]]: examples that are produced with the code of sage-dynamics
  * [[https://lma.metelu.net/mailman/listinfo/sage-dynamics|sage-dynamics]]: lma.metelu.net mailing-list
  * [[http://groups.google.com/group/sage-dynamics | sage-dynamics]]: Google group (web forum + mailing list)
  * [[combinat|combinat wiki]]: the wiki page of the combinat community (see in particular the following [[combinat/Installation|installation instructions]] for installing sage-combinat on your computer)
Line 15: Line 24:
We will create a repository *dynamics* in the root of Sage which would contain the following tree of repositories We plan organize the sage.dynamics repository with the following hierarchy
Line 17: Line 26:
  * arithmetic_dynamics (?)
Line 19: Line 29:
  * shifts   * shifts (sage-combinat)
Line 26: Line 36:
  * surface_dynamics   * surface_dynamics (sage-combinat)
Line 33: Line 43:
      * geodesic flow
      * Fuchsian groups
Line 35: Line 47:
  * picewise   * picewise (sage-combinat)
Line 43: Line 55:
  * a project for flat surfaces [[SageFlatProject]]   * [[dynamics/ArithmeticAndComplex|Arithmetic and Complex Dynamics]]
  * [[dynamics/FlatSurfaces]]
  * [[LanguagesAndTilings]]

== Other programs ==

 * [[http://homepages.math.uic.edu/~culler/chaos/|Fractal, chaos and complex dynamics]] by M. Culler and H. Masur: educational purpose software
 * [[http://www.math.uiuc.edu/~nmd/computop/|computop.org]] references several interesting softwares, many of them written in python

Dynamics in Sage

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

Introduction

Different aspects of dynamical systems involve computers

  • simulation and experimentation
  • numerical algorithms seen as dynamical systems
  • prospection of combinatorial structures associated to dynamical systems (infinite words, ...)
  • intrinsically discrete dynamics: shifts, cellular automata, ...
  • ...

Organization

We plan organize the sage.dynamics repository with the following hierarchy

  • arithmetic_dynamics (?)
  • cellular_automata (?)
  • complex_dynamics (?)
  • shifts (sage-combinat)

    • tilings (WangTile)

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

Subprojects

Other programs

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