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Article Dans Une Revue AIP Conference Proceedings Année : 2009

Global Orbit Patterns for Dynamical Systems On Finite Sets

Résumé

In this paper, the study of the global orbit pattern (gop) formed by all the periodic orbits of discrete dynamical systems on a finite set X allows us to describe precisely the behaviour of such systems.We can predict bymeans of closed formulas, the number of gop of the set of all the function from X to itself. We also explore, using the brute force of computers, some subsets of locally rigid functions on X, for which interesting patterns of periodic orbits are found.
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Dates et versions

hal-00369247 , version 1 (18-03-2009)

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René Lozi, Clarisse Fiol. Global Orbit Patterns for Dynamical Systems On Finite Sets. AIP Conference Proceedings, 2009, 1146, pp.303-331. ⟨10.1063/1.3183549⟩. ⟨hal-00369247⟩
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