ENGLISH

The Space of Dynamical Systems with the C0-Topology

By Sergei Yu. Pilyugin (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1994
ISBN
978-3-540-57702-7, 978-3-540-48314-4
DOI
10.1007/BFb0073519
Language
english
Format
PDF
Filesize
2 MB (2549749 bytes)
Series
Lecture Notes in Mathematics 1571
Edition
1
Pages
194\196
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Analysis; Differential Geometry

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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