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arXiv · 0903.3728

Global Orbit Patterns for Dynamical Systems On Finite Sets

R. Lozi·C. Fiol
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Abstract

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 by means 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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R. Lozi, C. Fiol. 2009-03-22. Global Orbit Patterns for Dynamical Systems On Finite Sets. https://doi.org/10.1063/1.3183549

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