Chaos and topological conjugation of generalized discrete dynamical system

Abstract

In this paper, by introducing several new concepts, Chaos and topological conjugation of generalized discrete dynamical system are discussed. We show that generalized discrete dynamical system has similar properties as in the case of classical discrete dynamical system. Moreover, we provide a sufficient condition for chaos in the sense of modified Devaney of generalized discrete dynamical system. These results further extend the scope of the research on discrete dynamical system and generalize the existing results to a very general case.