Overview

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.

Full Product Details

Author:   Sergei Yu. Pilyugin
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1994 ed.
Volume:   1571
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   0.650kg
ISBN:  

9783540577027

ISBN 10:   3540577025
Pages:   194
Publication Date:   28 March 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Definitions and preliminary results.- Generic properties of dynamical systems.- Topological stability.- Perturbations of atrractors.- Limit sets of domains.

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