There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.
Jan Vries
Topologische dynamische Systeme Topologische Dynamik Diskrete dynamische Systeme Discrete dynamical systems Symptotic stability and attraction Almost periodic points and minimal sets Recurrence Shift systems and symbolic dynamics Chaos Topological entropy