Sets of periods of dynamical systems

V. Kannan ()
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V. Kannan: University of Hyderabad

Indian Journal of Pure and Applied Mathematics, 2010, vol. 41, issue 1, 225-240

Abstract: Abstract In this article, we present a coherent, though not exhaustive, account of some well-known and some recent results of many mathematicians (including our own) on the following question: Given a “nice” class of dynamical systems, which subsets of ℕ arise as the sets of periods of members of that class? While stating and explaining some elegant answers, proofs have been outlined or indicated occasionally.

Keywords: Sets of periods; Sarkovskii’s theorem; Baker’s theorem; trees; transive maps; toral automorphisms; cellular automata; subshift of finite type; linear operator (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s13226-010-0008-y

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