ENGLISH

Space of Dynamical Systems with the Co-Topology

By Sergei Yu Pilyugin

Book information

Publisher
Springer
Year
1994
ISBN
9780387577029, 0387577025
Language
english
Format
DJVU
Filesize
582 kB (596457 bytes)
Series
Lecture Notes in Mathematics
Pages
200\0
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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.

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