Lecture Notes in Mathematics

Shadowing in Dynamical Systems

Authors: Pilyugin, Sergei Yu.

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About this book

This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theory of numerical methods. Shadowing Methods allow us to estimate differences between exact and approximate solutions on infinite time intervals and to understand the influence of error terms. The book is intended for specialists in dynamical systems, for researchers and graduate students in the theory of numerical methods.

Table of contents (4 chapters)

  • Shadowing near an invariant set

    Pilyugin, Sergei Yu.

    Pages 1-101

  • Topologically stable, structurally stable, and generic systems

    Pilyugin, Sergei Yu.

    Pages 103-172

  • Systems with special structure

    Pilyugin, Sergei Yu.

    Pages 173-217

  • Numerical applications of shadowing

    Pilyugin, Sergei Yu.

    Pages 219-257

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-540-48429-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $50.00
price for USA
  • ISBN 978-3-540-66299-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Shadowing in Dynamical Systems
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1706
Copyright
1999
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-48429-5
DOI
10.1007/BFb0093184
Softcover ISBN
978-3-540-66299-0
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XX, 276
Topics