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Dynamical Systems

Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 13 - 22, 1994

  • Book
  • © 1995

Overview

Authors:
  1. Ludwig Arnold
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  2. Christopher K. R. T. Jones
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  3. Konstantin Mischaikow
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  4. Geneviève Raugel
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Editors:
  1. Russell Johnson
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1609)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-VII
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  2. Random dynamical systems

    • Ludwig Arnold
    Pages 1-43

  3. Geometric singular perturbation theory

    • Christopher K. R. T. Jones
    Pages 44-118

  4. Conley index theory

    • Konstantin Mischaikow
    Pages 119-207

  5. Dynamics of partial differential equations on thin domains

    • Geneviève Raugel
    Pages 208-315

  6. Back Matter

    Pages 317-329
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Keywords

About this book

This volume contains the lecture notes written by the four principal speakers at the C.I.M.E. session on Dynamical Systems held at Montecatini, Italy in June 1994. The goal of the session was to illustrate how methods of dynamical systems can be applied to the study of ordinary and partial differential equations. Topics in random differential equations, singular perturbations, the Conley index theory, and non-linear PDEs were discussed. Readers interested in asymptotic behavior of solutions of ODEs and PDEs and familiar with basic notions of dynamical systems will wish to consult this text.

Bibliographic Information

  • Book Title: Dynamical Systems

  • Book Subtitle: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 13 - 22, 1994

  • Authors: Ludwig Arnold, Christopher K. R. T. Jones, Konstantin Mischaikow, Geneviève Raugel

  • Editors: Russell Johnson

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0095237

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1995

  • Softcover ISBN: 978-3-540-60047-3Published: 18 July 1995

  • eBook ISBN: 978-3-540-49415-7Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VII, 336

  • Topics: Analysis, Systems Theory, Control, Calculus of Variations and Optimal Control; Optimization

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