The set of periods for a class of skew-products | Zendy

José S. Cánovas | Zendy; Antonio Falcó | Zendy

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The set of periods for a class of skew-products

Author(s) -

José S. Cánovas,

Antonio Falcó

Publication year - 2000

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2000.6.893

Subject(s) - skew , class (philosophy) , sigma , set (abstract data type) , product (mathematics) , mathematics , characterization (materials science) , unit circle , combinatorics , space (punctuation) , discrete mathematics , product topology , pure mathematics , computer science , physics , geometry , telecommunications , quantum mechanics , artificial intelligence , optics , programming language , operating system

In this paper we give a characterization for the set of periods for a class of skew-products that we can see as deterministic systems driven by some stochastic process. This class coincides with a set of skew product maps from $\Sigma_N \times \mathbb S^1$ into itself, where $\Sigma_N$ is the space of the bi-infinite sequences on $N$ symbols and $\mathbb S^1$ is the unit circle.

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