Sensitive dependence for nonautonomous dynamical systems

dc.contributor.author	Miralles, A.
dc.contributor.author	Murillo Arcila, Marina
dc.contributor.author	Sanchis, M.
dc.contributor.other	Matemáticas	es_ES
dc.date.accessioned	2025-02-11T08:04:36Z
dc.date.available	2025-02-11T08:04:36Z
dc.date.issued	2018
dc.identifier.issn	1096-0813
dc.identifier.issn	0022-247X
dc.identifier.uri	http://hdl.handle.net/10498/35402
dc.description.abstract	Given a nonautonomous discrete dynamical system (NDS) $(X,f_{1,\infty})$ 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 $(f_n)$ 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.	es_ES
dc.format	application/pdf	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Elsevier	es_ES
dc.source	J. Math. Anal. Appl., 463(1) (2018), 268–275	es_ES
dc.subject	Non-autonomous systems	es_ES
dc.subject	dynamical systems	es_ES
dc.subject	sensitive dependence	es_ES
dc.subject	equicontinuity	es_ES
dc.title	Sensitive dependence for nonautonomous dynamical systems	es_ES
dc.type	journal article	es_ES
dc.rights.accessRights	open access	es_ES
dc.identifier.doi	10.1016/J.JMAA.2018.03.022
dc.type.hasVersion	AM	es_ES