Differences between revisions 3 and 5 (spanning 2 versions)

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.

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 3 as of 2010-10-08 11:32:41 → 
  Size: 1156
  Editor: vdelecroix
  Comment:
+   ← Revision 5 as of 2010-10-08 11:45:18 → ⇥
  Size: 1220
  Editor: vdelecroix
  Comment:
-Deletions are marked like this.
+Additions are marked like this.
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-Different aspect of dynamics has to deal with computer
+Different aspects of dynamical systems have to deal with computer
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-  * simulation
  * prospection of combinatorial structure associated to dynamical systems (coding as infinite words, ...)
+  * simulation and experimentation
  * prospection of combinatorial structure associated to dynamical systems (coded as infinite words, ...)
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-This page is aimed to be a roadmap for the implementations of various algorithm related to dynamics.
+This page is an organization wiki for the implementation in Sage of various algorithm relative to dynamics.
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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