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Induced dynamics on the hyperspaces

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Induced dynamics on the hyperspaces

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dc.contributor.author Sharma, Puneet es_ES
dc.date.accessioned 2016-10-20T10:00:55Z
dc.date.available 2016-10-20T10:00:55Z
dc.date.issued 2016-10-03
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/72401
dc.description.abstract [EN]  In this paper, we study the dynamics induced by finite commutative relation on the hyperspaces. We prove that the dynamics induced on the hyperspace by a non-trivial commutative family of continuous self maps cannot be transitive and hence cannot exhibit higher degrees of mixing. We also prove that the dynamics induced on the hyperspace by such a collection cannot have dense set of periodic points. We also give example to show that the induced dynamics in this case may or may not be sensitive. es_ES
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 Hyperspace es_ES
dc.subject Combined dynamics es_ES
dc.subject Relations es_ES
dc.subject Induced map es_ES
dc.subject Transitivity es_ES
dc.subject Super-transitivity es_ES
dc.subject Dense periodicity es_ES
dc.title Induced dynamics on the hyperspaces es_ES
dc.type Artículo es_ES
dc.date.updated 2016-10-20T08:33:31Z
dc.identifier.doi 10.4995/agt.2016.4154
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Sharma, P. (2016). Induced dynamics on the hyperspaces. Applied General Topology. 17(2):93-104. https://doi.org/10.4995/agt.2016.4154 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2016.4154 es_ES
dc.description.upvformatpinicio 93 es_ES
dc.description.upvformatpfin 104 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 17
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.description.references Banks, J. (2005). Chaos for induced hyperspace maps. Chaos, Solitons & Fractals, 25(3), 681-685. doi:10.1016/j.chaos.2004.11.089 es_ES
dc.description.references Michael, E. (1951). Topologies on spaces of subsets. Transactions of the American Mathematical Society, 71(1), 152-152. doi:10.1090/s0002-9947-1951-0042109-4 es_ES
dc.description.references Harper, M., & Hunter, J. (2010). Introduction to new series. Northern Scotland, 1(1), 1-2. doi:10.3366/nor.2010.0001 es_ES
dc.description.references Sharma, P., & Nagar, A. (2010). Inducing sensitivity on hyperspaces. Topology and its Applications, 157(13), 2052-2058. doi:10.1016/j.topol.2010.05.002 es_ES
dc.description.references Román-Flores, H. (2003). A note on transitivity in set-valued discrete systems. Chaos, Solitons & Fractals, 17(1), 99-104. doi:10.1016/s0960-0779(02)00406-x es_ES


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