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An Introduction to Infinite Dimensional Dynamical Systems - Geometric Theory

  • Book
  • © 1984

Overview

Authors:
  1. Jack K. Hale

    1. Division of Applied Mathematics, Brown University, Providence, USA

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  2. Luis T. Magalhães

    1. Universidade Tecnica de Lisbõa, Lisbon, Portugal

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  3. Waldyr M. Oliva

    1. Departmento de Matemática Aplicada, Instituto de Matemática e Estatistica, Universidade de São Paulo, São Paulo, Brasil

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

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Table of contents (11 chapters)

  1. Front Matter

    Pages N2-vii
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  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
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Keywords

Authors and Affiliations

  • Division of Applied Mathematics, Brown University, Providence, USA

    Jack K. Hale

  • Universidade Tecnica de Lisbõa, Lisbon, Portugal

    Luis T. Magalhães

  • Departmento de Matemática Aplicada, Instituto de Matemática e Estatistica, Universidade de São Paulo, São Paulo, Brasil

    Waldyr M. Oliva

Bibliographic Information

  • Book Title: An Introduction to Infinite Dimensional Dynamical Systems - Geometric Theory

  • Authors: Jack K. Hale, Luis T. Magalhães, Waldyr M. Oliva

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4757-4493-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York 1984

  • eBook ISBN: 978-1-4757-4493-4Published: 17 April 2013

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: VII, 196

  • Topics: Analysis

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