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An Introduction to Infinite Dimensional Dynamical Systems — Geometric Theory

  • Jack K. Hale
  • Luis T. Magalhães
  • Waldyr M. Oliva
Book

Part of the Applied Mathematical Sciences book series (AMS, volume 47)

Table of contents

  1. Front Matter
    Pages N2-vii
    PDF
  2. Introduction
    Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva
    Pages 1-6
  3. Retarded Functional Differential Equations on Manifolds
    Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva
    Pages 7-12
  4. Examples of Retarded Functional Differential Equations on Manifolds
    Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva
    Pages 13-23
  5. Generic Properties. The Theorem of Kupka-Smale
    Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva
    Pages 24-42
  6. Invariant Sets, Limit Sets and the Attractor
    Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva
    Pages 43-55
  7. The Dimension of the Attractor
    Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva
    Pages 56-68
  8. Attractor Sets as C1-Manifolds
    Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva
    Pages 69-84
  9. Stability Relative to A(F) and Bifurcation
    Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva
    Pages 85-99
  10. Compactification at Infinity
    Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva
    Pages 100-110
  11. Stability of Morse-Smale Maps
    Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva
    Pages 111-139
  12. Bibliographical Notes
    Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva
    Pages 140-142
  13. Back Matter
    Pages 143-196
    PDF

About this book

Keywords

Dynamisches System bifurcation differential equation dynamical systems manifold stability

Authors and affiliations

  • Jack K. Hale
    • 1
  • Luis T. Magalhães
    • 2
  • Waldyr M. Oliva
    • 3
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA
  2. 2.Universidade Tecnica de LisbõaLisbonPortugal
  3. 3.Departmento de Matemática Aplicada, Instituto de Matemática e EstatisticaUniversidade de São PauloSão PauloBrasil

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-4493-4
  • Copyright Information Springer-Verlag New York 1984
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-90931-8
  • Online ISBN 978-1-4757-4493-4
  • Series Print ISSN 0066-5452
  • Buy this book on publisher's site
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