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  • © 1999

Shadowing in Dynamical Systems

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1706)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-XVII
  2. Shadowing near an invariant set

    • Sergei Yu. Pilyugin
    Pages 1-101
  3. Systems with special structure

    • Sergei Yu. Pilyugin
    Pages 173-217
  4. Numerical applications of shadowing

    • Sergei Yu. Pilyugin
    Pages 219-257
  5. Back Matter

    Pages 259-271

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.

Keywords

  • Homeomorphism
  • diffeomorphism
  • differential equatins
  • dynamical systems
  • hyperbolic set
  • shadowing

Bibliographic Information

  • Book Title: Shadowing in Dynamical Systems

  • Authors: Sergei Yu. Pilyugin

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0093184

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1999

  • Softcover ISBN: 978-3-540-66299-0Published: 17 September 1999

  • eBook ISBN: 978-3-540-48429-5Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XX, 276

  • Topics: Global Analysis and Analysis on Manifolds, Dynamical Systems

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 50.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions