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Dynamics Reported

Expositions in Dynamical Systems

  • Christopher K. R. T. Jones
  • Urs Kirchgraber
  • Hans-Otto Walther

Part of the Dynamics Reported book series (DYNAMICS, volume 3)

Table of contents

About this book

Introduction

DYNAMICS REPORTED reports on recent developments in dynamical systems. Dynamical systems of course originated from ordinary differential equations. Today, dynamical systems cover a much larger area, including dynamical processes described by functional and integral equations, by partial and stochastic differential equations, etc. Dynamical systems have involved remarkably in recent years. A wealth of new phenomena, new ideas and new techniques are proving to be of considerable interest to scientists in rather different fields. It is not surprising that thousands of publications on the theory itself and on its various applications are appearing DYNAMICS REPORTED presents carefully written articles on major subjects in dynamical systems and their applications, addressed not only to specialists but also to a broader range of readers including graduate students. Topics are advanced, while detailed exposition of ideas, restriction to typical results - rather than the most general one- and, last but not least, lucid proofs help to gain the utmost degree of clarity. It is hoped, that DYNAMICS REPORTED will be useful for those entering the field and will stimulate an exchange of ideas among those working in dynamical systems Summer 1991 Christopher K. R. T Jones Drs Kirchgraber Hans-Otto Walther Managing Editors Table of Contents Limit Relative Category and Critical Point Theory G. Fournier, D. Lupo, M. Ramos, M. Willem 1. Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. Relative Category . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 3. Relative Cupiength . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 4. Limit Relative Category . . . . . . . . . . . . . . . . . . . . . . . '" . . . . " . . . . . . . . . . . . . . . . 10 5. The Deformation Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 6. Critical Point Theorems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 7. Some Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Keywords

Critical Point Hyperbolic Partial Differential Equations Hyperbolische partielle Differentialgleichungen Kritischer Punkt Minimax-method Minimaxmethode Reaction Diffusion Equations Reaktions-Diffusionsgleichungen Topological Invariants Topologische Invarianten differential equation dynamics minimum

Editors and affiliations

  • Christopher K. R. T. Jones
    • 1
  • Urs Kirchgraber
    • 2
  • Hans-Otto Walther
    • 3
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA
  2. 2.MathematicsSwiss Federal Institute of Technology (ETH)ZürichSwitzerland
  3. 3.MathematicsLudwig-Maximilians UniversityMunichFederal Republic of Germany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-78234-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-78236-7
  • Online ISBN 978-3-642-78234-3
  • Series Print ISSN 0936-6040
  • Buy this book on publisher's site