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dc.contributor.authorSánchez, Iván
dc.contributor.authorSanchis López, Manuel
dc.contributor.authorVillanueva, Hugo
dc.date.accessioned2017-11-21T08:31:20Z
dc.date.available2017-11-21T08:31:20Z
dc.date.issued2017
dc.identifier.citationSÁNCHEZ, Iván; SANCHIS, Manuel; VILLANUEVA, Hugo. Chaos in hyperspaces of nonautonomous discrete systems. Chaos, Solitons & Fractals, 2017, vol. 94, p. 68-74.ca_CA
dc.identifier.issn0960-0779
dc.identifier.urihttp://hdl.handle.net/10234/170247
dc.description.abstractWe study the interaction of some dynamical properties of a nonautonomous discrete dynamical system (X, f∞) and its induced nonautonomous discrete dynamical system (K(X),f∞¯), where K(X) is the hyperspace of non-empty compact sets in X, endowed with the Vietoris topology. We consider properties like transitivity, weakly mixing, points with dense orbit, density of periodic points, among others. We also present examples of nonautonomous discrete dynamical systems showing that transitivity, density of periodic points and sensitive dependence on initial conditions are independents on the unit interval, i.e., unlike autonomous discrete dynamical systems, in definition of Devaney chaotic there are not redundant conditions for NDS on the interval. Actually, our examples give an even more precise conclusion: the classical result stating that transitivity is a sufficient condition for an autonomous discrete dynamical system on the interval to be Devaney chaotic fails to be true for nonautonomous dynamical systems.ca_CA
dc.format.extent7 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.relation.isPartOfChaos, Solitons & Fractals, 2017, vol. 94, p. 68-74ca_CA
dc.rights© Elsevier Ltd.ca_CA
dc.subjectnonautonomous dynamical systemsca_CA
dc.subjecthyperspacesca_CA
dc.subjectDevaney’s chaosca_CA
dc.subjecttransitivityca_CA
dc.subjectweakly mixingca_CA
dc.titleChaos in hyperspaces of nonautonomous discrete systemsca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1016/j.chaos.2016.11.009
dc.relation.projectIDCONACyT of Mexico / 259783; Apoyo a la Incorporacion de Nuevos PTC, PRODEP-SEP / DSA/103.5/14/10906ca_CA
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccessca_CA
dc.relation.publisherVersionhttp://www.sciencedirect.com/science/article/pii/S0960077916303368ca_CA
dc.type.versioninfo:eu-repo/semantics/publishedVersionca_CA


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