RT journal article
T1 Sensitive dependence for nonautonomous dynamical systems
A1 Miralles, A.
A1 Murillo Arcila, Marina
A1 Sanchis, M.
A2 Matemáticas
K1 Non-autonomous systems
K1 dynamical systems
K1 sensitive dependence
K1 equicontinuity
AB 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.
PB Elsevier
SN 1096-0813
YR 2018
FD 2018
LK http://hdl.handle.net/10498/35402
UL http://hdl.handle.net/10498/35402
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026