Devaney chaos in non-autonomous discrete systems

Abstract

This paper is concerned with Devaney chaos in non-autonomous discrete systems. It is shown that in its definition, the two former conditions, i.e., transitivity and density of periodic points, in a set imply the last one, i.e., sensitivity, in the case that the set is unbounded, while a similar result holds under two additional conditions in the other case that the set is bounded. Furthermore, some chaotic behavior is studied for a class of non-autonomous systems, each of which is governed by a convergent sequence of continuous maps.

13 pages

References in corpus (1)

• Strong Li-Yorke chaos for time-varying discrete dynamical systems with A-coupled-expansion

Cited by in corpus (1)

• Dynamics of weakly mixing non-autonomous systems