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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 involves 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, ...
...

combinat wiki: the wiki page of the combinat community
- installation instructions: how to install sage-combinat on your computer
dynamics/examples: examples that are produced with the code of sage-dynamics
sage-dynamics: lma.metelu.net mailing-list
sage-dynamics: Google group (web forum + mailing list)

We plan to create a *dynamics* repository at the root of Sage subdivided according to 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 (?)

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+This page is an organization wiki for the implementation in Sage of various algorithms related to dynamics.
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-Different aspects of dynamical systems involving computers
+Different aspects of dynamical systems involves computers
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-  * prospection of combinatorial structures associated to dynamical systems (coded as infinite words, ...)
+  * numerical algorithms seen as dynamical systems
  * prospection of combinatorial structures associated to dynamical systems (infinite words, ...)
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-  * numerical algorithms seen as dynamical systems
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-This page is an organization wiki for the implementation in Sage of various algorithms related to dynamics. All of the code is accessible to anyone interested. Where marked the code is available on the "sage-combinat" public server.