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October  2000, 6(4): 893-900. doi: 10.3934/dcds.2000.6.893

The set of periods for a class of skew-products

Jose S. Cánovas 1, and  Antonio Falcó 2,

1. 

Departamento de Matemática aplicada y Estadística, Universidad Politécnica de Cartagena, Paseo de Alfonso XIII, 30203 Cartagena(Murcia), Spain
2. 

Facultad de Ciencias Sociales y Jurídicas, Campus de Elche, Universidad Cardenal Herrera-CEU, Carrer Comissari 1, 03203 Elx-Elche, Spain

Received  March 2000 Revised  July 2000 Published  August 2000

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.
Keywords: topological conjugacy., Periodic points, set of periods.
Mathematics Subject Classification: 58F22, 26A18, 58F0.
Citation: Jose S. Cánovas, Antonio Falcó. The set of periods for a class of skew-products. Discrete & Continuous Dynamical Systems, 2000, 6 (4) : 893-900. doi: 10.3934/dcds.2000.6.893
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