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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 have to deal with computer | Different aspects of dynamical systems involve computers |
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| * prospection of combinatorial structure 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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| * ... | |
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| 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]]. | These wiki pages are intended for the coordination of the different programmers in Sage. == 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) |
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| We will create a repository *dynamics* in the root of Sage which would contain the following tree of repositories | We plan to create a *dynamics* repository at the root of Sage subdivided according to the following hierarchy |
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| * arithmetic_dynamics (?) | |
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| * shifts | * shifts (sage-combinat) |
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| * surface_dynamics | * surface_dynamics (sage-combinat) |
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| * picewise | * picewise (sage-combinat) |
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| * a project for flat surfaces [[dynamics/FlatSurfaces]] | * [[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, ...
- ...
These wiki pages are intended for the coordination of the different programmers in Sage.
Quick links
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)
combinat wiki: the wiki page of the combinat community (see in particular the following installation instructions for installing sage-combinat on your computer)
Organization
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
- flat_surfaces
- picewise (sage-combinat)
- interval_exchange_transformations and linear_involutions
- affine_iet
- interval_translation
- 2D (?)
Subprojects
== Other programs ==
Fractal, chaos and complex dynamics by M. Culler and H. Masur: educational purpose software
computop.org references several interesting softwares, many of them written in python