Ruelle-takens chaos in non-autonomous dynamical systems

Abstract

The paper is devoted to a study of Ruelle-Takens chaos of non-autonomous discrete systems defined by a sequence of continuous maps acting on a metric space. First we introduce the notion of Ruelle-Takens chaos, defined in a way suitable for non-autonomous discrete systems. We then discuss the chaotic property of the product system; also the relations of two conjugate systems are researched.