Sensitive dependence for nonautonomous discrete dynamical systems
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Sensitive dependence for nonautonomous discrete dynamical systemsData de publicació
2018-03Editor
ElsevierCita bibliogràfica
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.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.sciencedirect.com/science/article/pii/S0022247X18302282#kws0010Versió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
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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