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arXiv:0903.3728 [math.DS]AbstractReferencesReviewsResources

Global Orbit Patterns for Dynamical Systems On Finite Sets

R. Lozi, C. Fiol

Published 2009-03-22Version 1

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.

Comments: 29 pages, 3 figures. to appear in Proceedings of the International Conference On Modeling of Engineering & Technological Problems (ICMETP), Agra (India), 2009. Published by the American Institute of Physics, U.S.A
Categories: math.DS
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