A first course in discrete dynamical systems / Richard A. Holmgren

Auteur principal : Holmgren, Richard A., AuteurType de document : MonographieCollection : UniversitextLangue : anglais.Pays: Etats Unis.Mention d'édition: 2nd correted printingÉditeur : New York : Springer, 1996Description : 1 vol. (XV-223 p.) : fig. ; 24 cmISBN: 9780387947808.ISSN: 0172-5939.Bibliographie : Bibliogr. p. [215]-220. Index.Sujet MSC : 37D45, Dynamical systems with hyperbolic behavior, Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37Exx, Dynamical systems and ergodic theory - Low-dimensional dynamical systems
37-02, Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory
37Bxx, Dynamical systems and ergodic theory - Topological dynamicsEn-ligne : Springerlink | Zentralblatt | MathSciNet
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The book is the second edition of a one-semester course on discrete dynamical systems [1st ed. in (1994; Zbl 0797.58001)]. The main changes of the second edition are to introduce the notion of chaos for real functions (Chapter 8) before the symbolic dynamics, and metric spaces transferred into Chapter 11. Consequently, in Chapters 8, 9, 10 and 11 (the Logistic function, parts I, II, III and IV) had to be completely revised. A new simpler proof of the special case of Sharkovskij's theorem is given (Chapter 5). Some new exercises have been added and more difficult ones have been equipped with hints. (Zentralblatt)

Bibliogr. p. [215]-220. Index

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