LEADER 02868nam 2200625 450 001 996466620003316 005 20220304135556.0 010 $a3-540-47023-9 024 7 $a10.1007/BFb0084762 035 $a(CKB)1000000000437112 035 $a(SSID)ssj0000322767 035 $a(PQKBManifestationID)12064997 035 $a(PQKBTitleCode)TC0000322767 035 $a(PQKBWorkID)10288519 035 $a(PQKB)10929089 035 $a(DE-He213)978-3-540-47023-6 035 $a(MiAaPQ)EBC5610783 035 $a(Au-PeEL)EBL5610783 035 $a(OCoLC)1079008406 035 $a(MiAaPQ)EBC6842483 035 $a(Au-PeEL)EBL6842483 035 $a(OCoLC)1292360708 035 $a(PPN)155206427 035 $a(EXLCZ)991000000000437112 100 $a20220304d1995 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aDynamics in one dimension /$fL. S. Block, W. A. Coppel 205 $a1st ed. 1992. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1995] 210 4$dİ1995 215 $a1 online resource (VIII, 252 p.) 225 1 $aLecture Notes in Mathematics ;$v1513 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-55309-6 311 $a3-540-55309-6 327 $aPeriodic 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. 330 $aThe behaviour under iteration of unimodal maps of an interval, such as the logistic map, has recently attracted considerable attention. It is not so widely known that a substantial theory has by now been built up for arbitrary continuous maps of an interval. The purpose of the book is to give a clear account of this subject, with complete proofs of many strong, general properties. In a number of cases these have previously been difficult of access. The analogous theory for maps of a circle is also surveyed. Although most of the results were unknown thirty years ago, the book will be intelligible to anyone who has mastered a first course in real analysis. Thus the book will be of use not only to students and researchers, but will also provide mathematicians generally with an understanding of how simple systems can exhibit chaotic behaviour. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1513. 606 $aTopological dynamics 615 0$aTopological dynamics. 676 $a515.39 686 $a58Fxx$2msc 700 $aBlock$b L. S.$0441123 702 $aCoppel$b W. A. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466620003316 996 $aDynamics in one dimension$92830758 997 $aUNISA