On the Simplest Topologically Transitive Skew Products in the Plane

In this paper, we obtain (sufficient) conditions under which the set of periodic points of the topologically transitive skew product of mappings of an interval is dense in the phase space of the dynamical system considered.

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 200; no. 1; pp. 71 - 81
Main Authors Efremova, L. S., Filchenkov, A. S.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.07.2014
Subjects
Mathematics
Mathematics and Statistics
Uniform Continuity
Continuous Selection
Unimodal Mapping
Periodic Point
Multimodal Mapping
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Summary:In this paper, we obtain (sufficient) conditions under which the set of periodic points of the topologically transitive skew product of mappings of an interval is dense in the phase space of the dynamical system considered.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-014-1905-0