02868nam 2200625 450 99646662000331620220304135556.03-540-47023-910.1007/BFb0084762(CKB)1000000000437112(SSID)ssj0000322767(PQKBManifestationID)12064997(PQKBTitleCode)TC0000322767(PQKBWorkID)10288519(PQKB)10929089(DE-He213)978-3-540-47023-6(MiAaPQ)EBC5610783(Au-PeEL)EBL5610783(OCoLC)1079008406(MiAaPQ)EBC6842483(Au-PeEL)EBL6842483(OCoLC)1292360708(PPN)155206427(EXLCZ)99100000000043711220220304d1995 uy 0engurnn#008mamaatxtccrDynamics in one dimension /L. S. Block, W. A. Coppel1st ed. 1992.Berlin ;Heidelberg :Springer-Verlag,[1995]©19951 online resource (VIII, 252 p.)Lecture Notes in Mathematics ;1513Bibliographic Level Mode of Issuance: Monograph0-387-55309-6 3-540-55309-6 Periodic orbits -- Turbulence -- Unstable manifolds and homoclinic points -- Topological dynamics -- Topological dynamics (continued) -- Chaotic and non-chaotic maps -- Types of periodic orbits -- Topological Entropy -- Maps of the circle.The behaviour under iteration of unimodal maps of an interval, such as the logistic map, has recently attracted considerable attention. It is not so widely known that a substantial theory has by now been built up for arbitrary continuous maps of an interval. The purpose of the book is to give a clear account of this subject, with complete proofs of many strong, general properties. In a number of cases these have previously been difficult of access. The analogous theory for maps of a circle is also surveyed. Although most of the results were unknown thirty years ago, the book will be intelligible to anyone who has mastered a first course in real analysis. Thus the book will be of use not only to students and researchers, but will also provide mathematicians generally with an understanding of how simple systems can exhibit chaotic behaviour.Lecture notes in mathematics (Springer-Verlag) ;1513.Topological dynamicsTopological dynamics.515.3958FxxmscBlock L. S.441123Coppel W. A.MiAaPQMiAaPQMiAaPQBOOK996466620003316Dynamics in one dimension2830758UNISA