Sensitive dependence for nonautonomous discrete dynamical systems
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Otros documentos de la autoría: Miralles Montolío, Alejandro; murillo arcila, marina; Sanchis López, Manuel
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Título
Sensitive dependence for nonautonomous discrete dynamical systemsFecha de publicación
2018-03Editor
ElsevierCita bibliográfica
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.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0022247X18302282#kws0010Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
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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