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Catalogue Information
Field name	Details
Dewey Class	515
Title	Dynamics in One Dimension ([EBook]) / by Louis Stuart Block, William Andrew Coppel.
Author	Block, Louis Stuart. , 1947-
Added Personal Name	Coppel, William Andrew
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1992.
Physical Details	VIII, 252 pages : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1513
ISBN	9783540470236
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0084762
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Topology . Authors: author . Block, Louis Stuart. 1947- . Block, Louis Stuart, 1947- . Coppel, William Andrew . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515 .

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Dynamics in One Dimension

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