000 02711nam a22004935i 4500
001 978-3-540-47023-6
003 DE-He213
005 20160624101825.0
007 cr nn 008mamaa
008 121227s1992 gw | s |||| 0|eng d
020 _a9783540470236
_9978-3-540-47023-6
024 7 _a10.1007/BFb0084762
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aBlock, Louis Stuart.
_eauthor.
245 1 0 _aDynamics in One Dimension
_h[electronic resource] /
_cby Louis Stuart Block, William Andrew Coppel.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1992.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1992.
300 _aVIII, 252 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1513
505 0 _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.
520 _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.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aTopology.
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aTopology.
700 1 _aCoppel, William Andrew.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540553090
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1513
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0084762
942 _2EBK1504
_cEBK
999 _c30798
_d30798