The Space of Dynamical Systems with the C0-Topology

By:

Sergei Yu Pilyugin

Format:

Paperback / softback

Series:

Lecture Notes in Mathematics

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Description

This is an introduction to the main methods and principal results in the theory of Ca-small perturbations of dynamical systems. It is the first comprehensive treatment of this topic. In particular, Ca-generic properties of dynamical systems, topological stability, perturbations of attractors, and limit sets of domains are discussed. The book contains such new results as Lipschitz shadowing of pseudotrajectories in structurally stable diffeo-morphisms. The aim of the author was to simplify basic proofs, so that the main part of the book would be accessible to graduate students in pure and applied mathematics. The book has also been designed as 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.

Release date NZ

March 28th, 1994

Author

Sergei Yu Pilyugin

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

CCIV, 194 p.

Pages

194

Series

Lecture Notes in Mathematics

Dimensions

156x234x10

ISBN-13

9783540577027

Product ID

2808744

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