Weak stability of non-autonomous discrete dynamical systems

摘要

In this paper we introduce a concept of weak stability for non-autonomous dynamical systems. We characterize the set of weak stable points and show that the set of weak stable points is residual, and investigate the relation between weak stability and shadowing property. We also discuss the relation between weak stability of a non-autonomous dynamical system and its induced set-valued system. (C) 2018 Elsevier B.V. All rights reserved.