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Some remarks on chaos in topological dynamics

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Some remarks on chaos in topological dynamics

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dc.contributor.author Wang, Huoyung es_ES
dc.contributor.author Fu, Heman es_ES
dc.date.accessioned 2017-09-12T12:13:54Z
dc.date.available 2017-09-12T12:13:54Z
dc.date.issued 2011-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/87090
dc.description.abstract [EN] Bau-Sen Du introduced a notion of chaos which is stronger than Li-Yorke sensitivity. A TDS (X, f) is called chaotic if there is a positive e such that for any x and any nonempty open set V of X there is a point y in V such that the pair (x, y) is proximal but not e-asymptotic. In this article, we show that a TDS (T, f) is transitive but not mixing if and only if (T, f) is Li-Yorke sensitive but not chaotic, where T is a tree. Moreover, we compare such chaos with other notions of chaos. es_ES
dc.description.sponsorship Supported by National Nature Science Funds of China (11071084), and Guangzhou Education Bureau (08C016).
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Sensitivity es_ES
dc.subject Chaos es_ES
dc.subject Tree maps es_ES
dc.title Some remarks on chaos in topological dynamics es_ES
dc.type Artículo es_ES
dc.date.updated 2017-09-12T11:39:05Z
dc.identifier.doi 10.4995/agt.2011.1645
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11071084/
dc.relation.projectID info:eu-repo/grantAgreement/GEB//08C016/
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Wang, H.; Fu, H. (2011). Some remarks on chaos in topological dynamics. Applied General Topology. 12(2):95-100. https://doi.org/10.4995/agt.2011.1645 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2011.1645 es_ES
dc.description.upvformatpinicio 95 es_ES
dc.description.upvformatpfin 100 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 12
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.contributor.funder National Natural Science Foundation of China
dc.contributor.funder Guangzhou Education Bureau, China


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