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The Space of Dynamical Systems with the C0-Topology

  • Book
  • © 1994

Overview

Authors:
  1. Sergei Yu. Pilyugin
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1571)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-X
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  2. Definitions and preliminary results

    • Sergei Yu. Pilyugin
    Pages 1-21

  3. Generic properties of dynamical systems

    • Sergei Yu. Pilyugin
    Pages 23-52

  4. Topological stability

    • Sergei Yu. Pilyugin
    Pages 53-85

  5. Perturbations of atrractors

    • Sergei Yu. Pilyugin
    Pages 87-123

  6. Limit sets of domains

    • Sergei Yu. Pilyugin
    Pages 125-142

  7. Back Matter

    Pages 143-190
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Keywords

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.

Bibliographic Information

  • Book Title: The Space of Dynamical Systems with the C0-Topology

  • Authors: Sergei Yu. Pilyugin

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0073519

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1994

  • Softcover ISBN: 978-3-540-57702-7Published: 28 March 1994

  • eBook ISBN: 978-3-540-48314-4Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: CCIV, 194

  • Topics: Analysis, Differential Geometry

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