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Set-Valued Chaos in Linear Dynamics

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Set-Valued Chaos in Linear Dynamics

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dc.contributor.author Bernardes, N. C. Jr. es_ES
dc.contributor.author Peris Manguillot, Alfredo es_ES
dc.contributor.author Ródenas Escribá, Francisco de Asís es_ES
dc.date.accessioned 2018-09-17T08:53:36Z
dc.date.available 2018-09-17T08:53:36Z
dc.date.issued 2017 es_ES
dc.identifier.issn 0378-620X es_ES
dc.identifier.uri http://hdl.handle.net/10251/107461
dc.description.abstract [EN] We study several notions of chaos for hyperspace dynamics associated to continuous linear operators. More precisely, we consider a continuous linear operator on a topological vector space X, and the natural hyperspace extensions and of T to the spaces of compact subsets of X and of convex compact subsets of X, respectively, endowed with the Vietoris topology. We show that, when X is a complete locally convex space (respectively, a locally convex space), then Devaney chaos (respectively, topological ergodicity) is equivalent for the maps T, and . Also, under very general conditions, we obtain analogous equivalences for Li-Yorke chaos. Finally, some remarks concerning the topological transitivity and weak mixing properties are included, extending results in Banks (Chaos Solitons Fractals 25(3):681-685, 2005) and Peris (Chaos Solitons Fractals 26(1):19-23, 2005). es_ES
dc.description.sponsorship The first author was partially supported by CNPq (Brazil) and by the EBW+ Project (Erasmus Mundus Programme). The second and third authors were supported by MINECO, Projects MTM2013-47093-P and MTM2016-75963-P. The second author was partially supported by GVA, Project PROMETEOII/2013/013. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Integral Equations and Operator Theory es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Hyperspace dynamics es_ES
dc.subject Linear dynamics es_ES
dc.subject Devaney chaos es_ES
dc.subject Li-Yorke chaos es_ES
dc.subject Mixing properties es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Set-Valued Chaos in Linear Dynamics es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00020-017-2394-6 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2013%2F013/ES/Análisis funcional, teoría de operadores y sus aplicaciones (AFUNTOP)/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-47093-P/ES/HIPERCICLICIDAD Y CAOS DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-75963-P/ES/DINAMICA DE OPERADORES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Bernardes, NCJ.; Peris Manguillot, A.; Ródenas Escribá, FDA. (2017). Set-Valued Chaos in Linear Dynamics. Integral Equations and Operator Theory. 88(4):451-463. https://doi.org/10.1007/s00020-017-2394-6 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s00020-017-2394-6 es_ES
dc.description.upvformatpinicio 451 es_ES
dc.description.upvformatpfin 463 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 88 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\360101 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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