The space of dynamical systems with the C⁰-topology /
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Author / Creator: | Pilyugin, Sergei Yu. (Sergei Yurievitch), 1947- |
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Imprint: | Berlin ; New York : Springer-Verlag, ©1994. |
Description: | 1 online resource (viii, 188 pages) : illustrations. |
Language: | English |
Series: | Lecture notes in mathematics, 0075-8434 ; 1571 Lecture notes in mathematics (Springer-Verlag) ; 1571. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11071343 |
ISBN: | 9783540483144 3540483144 9783540577027 3540577025 9780387577029 0387577025 |
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Notes: | Includes bibliographical references (pages 183-186) and index. Restrictions unspecified Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 digitized 2010 HathiTrust Digital Library committed to preserve Print version record. |
Summary: | This book is an introduction to main methods and principal results in the theory of Co(remark: o is upper index!!)-small perturbations of dynamical systems. It is the first comprehensive treatment of this topic. In particular, Co(upper index!)-generic properties of dynamical systems, topological stability, perturbations of attractors, limit sets of domains are discussed. The book contains some new results (Lipschitz shadowing of pseudotrajectories in structurally stable diffeomorphisms for instance). The aim of the author was to simplify and to "visualize" some basic proofs, so the main part of the book is accessible to graduate students in pure and applied mathematics. The book will also be a basic reference for researchers in various fields of dynamical systems and their applications, especially for those who study attractors or pseudotrajectories generated by numerical methods. |
Other form: | Print version: Pilyugin, Sergei Yu. (Sergei Yurievitch), 1947- Space of dynamical systems with the C⁰-topology. Berlin ; New York : Springer-Verlag, ©1994 3540577025 |
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