Differences between revisions 2 and 4 (spanning 2 versions)

Dynamics in Sage

Introduction

Different aspect of dynamics has to deal with computer

simulation
prospection of combinatorial structure associated to dynamical systems (coding as infinite words, ...)
shifts, cellular automata

This page is aimed to be a roadmap for the implementations of various algorithm related to dynamics.

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 (?)

-  ⇤ ← Revision 2 as of 2010-10-08 11:28:02 → 
  Size: 918
  Editor: vdelecroix
  Comment:
+   ← Revision 4 as of 2010-10-08 11:33:29 → ⇥
  Size: 1183
  Editor: vdelecroix
  Comment:
-Deletions are marked like this.
+Additions are marked like this.
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-We dedicate a repository dynamics which would contain the following tree of repositories
+We will create a repository **dynamics** in the root of Sage which would contain the following tree of repositories
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+    * substitutive shift
      * self similar interval exchange map
    * s-adic shift
      * Sturmian
      * interval exchange maps
-Line 23:
+Line 28:
-       * origamis
       * veech_surfaces
+      * origamis
      * veech_surfaces
      * linear suspensions of iet
-Line 27:
+Line 33:
+    * hamiltonian flows
      * logarithmic suspensions of iet