03378nam 2200805 450 991081911590332120200903223051.03-11-034073-93-11-034240-510.1515/9783110342406(CKB)2550000001303725(EBL)1480460(OCoLC)870591587(SSID)ssj0001113434(PQKBManifestationID)12383618(PQKBTitleCode)TC0001113434(PQKBWorkID)11167422(PQKB)10189097(SSID)ssj0001174195(PQKBManifestationID)11765967(PQKBTitleCode)TC0001174195(PQKBWorkID)11107799(PQKB)20538543(MiAaPQ)EBC1480460(DE-B1597)245859(OCoLC)873464768(OCoLC)979690126(DE-B1597)9783110342406(Au-PeEL)EBL1480460(CaPaEBR)ebr10838353(CaONFJC)MIL574285(PPN)182943844(EXLCZ)99255000000130372520131025h20142014 uy| 0engur|n|---|||||txtccrTopological dynamical systems an introduction to the dynamics of continuous mappings /Jan de VriesBerlin ;Boston :De Gruyter,[2014]©20141 online resource (516 p.)De Gruyter studies in mathematics,0179-0986 ;volume 59Description based upon print version of record.3-11-037459-5 1-306-43034-8 Includes bibliographical references and index. Frontmatter -- Preface -- Notation -- Contents -- 0. Introduction -- 1. Basic notions -- 2. Dynamical systems on the real line -- 3. Limit behaviour -- 4. Recurrent behaviour -- 5. Shift systems -- 6. Symbolic representations -- 7. Erratic behaviour -- 8. Topological entropy -- A. Topology -- B. The Cantor set -- C. Hints to the Exercises -- Literature -- Index -- De Gruyter Studies in MathematicsThere 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. De Gruyter studies in mathematics ;59.Topological dynamicsAlmost periodic points and minimal sets.Chaos.Discrete dynamical systems.Recurrence.Shift systems and symbolic dynamics.Symptotic stability and attraction.Topological entropy.Topological dynamics.515/.39SK 350SEPArvkVries J. de(Jan)1629633MiAaPQMiAaPQMiAaPQBOOK9910819115903321Topological dynamical systems3967493UNINA