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Sensitive dependence for nonautonomous discrete dynamical systems
dc.contributor.author | Miralles Montolío, Alejandro | |
dc.contributor.author | murillo arcila, marina | |
dc.contributor.author | Sanchis López, Manuel | |
dc.date.accessioned | 2018-06-12T11:37:11Z | |
dc.date.available | 2018-06-12T11:37:11Z | |
dc.date.issued | 2018-03 | |
dc.identifier.citation | MIRALLES, Alejandro; MURILLO-ARCILA, Marina; SANCHIS, Manuel. Sensitive dependence for nonautonomous discrete dynamical systems. Journal of Mathematical Analysis and Applications, 2018, 463.1: 268-275. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/175118 | |
dc.description.abstract | Given a nonautonomous discrete dynamical system (NDS) we show that transitivity and density of periodic points do not imply sensitivity in general, i.e., in the definition of Devaney chaos there are no redundant conditions for NDS. In addition, we show that if we also assume uniform convergence of the sequence that induces the NDS, then sensitivity follows. Furthermore, in contrast to the autonomous case, we show that there exist minimal NDS which are neither equicontinuous nor sensitive. | ca_CA |
dc.format.extent | 7 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.rights | © 2018 Elsevier Inc. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | non-autonomous systems | ca_CA |
dc.subject | dynamical systems | ca_CA |
dc.subject | sensitive dependence | ca_CA |
dc.subject | equicontinuity | ca_CA |
dc.title | Sensitive dependence for nonautonomous discrete dynamical systems | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1016/j.jmaa.2018.03.022 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://www.sciencedirect.com/science/article/pii/S0022247X18302282#kws0010 | ca_CA |
dc.date.embargoEndDate | 2020-03 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | ca_CA |
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