Lecture Notes in Mathematics

The Space of Dynamical Systems with the C0-Topology

Authors: Pilyugin, Sergei Yu.

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About this book

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.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $29.99
price for USA in USD
  • ISBN 978-3-540-48314-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.95
price for USA in USD
  • ISBN 978-3-540-57702-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
The Space of Dynamical Systems with the C0-Topology
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1571
Copyright
1994
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-48314-4
DOI
10.1007/BFb0073519
Softcover ISBN
978-3-540-57702-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
CCIV, 194
Topics