Sensitive dependence for nonautonomous discrete dynamical systems
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Other documents of the author: Miralles Montolío, Alejandro; murillo arcila, marina; Sanchis López, Manuel
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comunitat-uji-handle2:10234/173364
comunitat-uji-handle3:10234/173369
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Sensitive dependence for nonautonomous discrete dynamical systemsDate
2018-03Publisher
ElsevierBibliographic 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.Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/acceptedVersionAbstract
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 ... [+]
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. [-]
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