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The space of dynamical systems with the C⁰-topology /

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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 sta...

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Bibliographic Details
Main Author: Pilyugin, Sergei Yu. (Sergei Yurievitch), 1947-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1994]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1571.
Subjects:
Differentiable dynamical systems.
Perturbation (Mathematics)
Stability.
Dynamique différentiable.
Perturbation (Mathématiques)
Stabilité.
Gewone differentiaalvergelijkingen.
Manifolds.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
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.
Item Description:Electronic resource.
Physical Description:1 online resource (viii, 188 pages) : illustrations.
Format: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.
Bibliography:Includes bibliographical references (pages [183]-186) and index.
ISBN:9783540483144 (electronic bk.)
3540483144 (electronic bk.)
ISSN:0075-8434 ;