說明 
xv, 498 pages : illustrations ; 25 cm 

text rdacontent 

unmediated rdamedia 

volume rdacarrier 
系列 
De Gruyter studies in mathematics ; volume 59 

De Gruyter studies in mathematics ; v. 59

附註 
Includes bibliographical references (pages 481484) and index 

Introduction  Basic notions  Dynamical systems on the real line  Limit behaviour  Recurrent behaviour  Shift systems  Symbolic representations  Erratic behaviour  Topological entropy  Topology  The cantor set  Hints to the exercises 

This book is an introduction into the theory of discrete dynamical systems with emphasis on the topological background. It is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and a course in General Topology are sufficient. Students who have mastered this book will have a firm basis to start research on related topics. The theory is about the behaviour of points of a Hausdorff space under the iteration of a continuous selfmap. The assumption that the space is metrizable is avoided as much as possible, but where the nonmetric version of the theory would become unwieldy we do not hesitate to assume metrizability. A similar remark applies to the assumption of compactness of the space. Much attention is given to dynamical systems on intervals on the real line. A wide range of topics, such as asymptotic stability, shift systems, (chain)recurrence, topological entropy and chaos, is discussed. Every chapter concludes with a set of exercises and a section of notes, with references to the literature 
主題 
Topological dynamics


Topological dynamics. fast (OCoLC)fst01152680

