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Coupled-expanding maps and matrix shifts

Coupled-expanding maps and matrix shifts

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dc.contributor.author Kulczycki, Marcin [SAP11018282] pl
dc.contributor.author Oprocha, Piotr pl
dc.date.accessioned 2014-07-15T05:30:35Z
dc.date.available 2014-07-15T05:30:35Z
dc.date.issued 2013 pl
dc.identifier.issn 0218-1274 pl
dc.identifier.uri http://ruj.uj.edu.pl/xmlui/handle/item/16
dc.language eng pl
dc.title Coupled-expanding maps and matrix shifts pl
dc.type JournalArticle pl
dc.abstract.en For an irreducible transition matrix A of size m × m, which is not a permutation, a map f : X → X is said to be strictly A-coupled-expanding if there are nonempty sets V_{1},…, V_{m} ⊂ X such that the distance between any two of them is positive and f(V_{i}) ⊃ V_{j} holds whenever a_{ij} = 1. This paper presents two theorems that give sufficient conditions for a strictly A-coupled-expanding map to be chaotic on part of its domain in the sense of, respectively, Auslander and Yorke and Devaney. These results improve on the work of Zhang and Shi [2010]. An example is provided to illustrate that the class of maps the new theorems apply to is significantly wider. pl
dc.subject.en Chaos pl
dc.subject.en coupled-expanding map pl
dc.subject.en shift map pl
dc.subject.en symbolic dynamics pl
dc.subject.en transition matrix pl
dc.description.volume 23 pl
dc.description.number 1 pl
dc.identifier.doi 10.1142/S0218127413500132 pl
dc.identifier.eissn 1793-6551 pl
dc.title.journal International Journal of Bifurcation and Chaos in Applied Sciences and Engineering pl
dc.language.container eng pl
dc.affiliation Wydział Matematyki i Informatyki : Instytut Matematyki pl
dc.subtype Article pl
dc.identifier.articleid 1350013 pl
dc.rights.original bez licencji pl
.pointsMNiSW [2013 A]: 30

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