Dynamical Systems

Proceedings of an IIASA (International Institute for Applied Systems Analysis) Workshop on Mathematics of Dynamic Processes Held at Sopron, Hungary, September 9–13, 1985

  • Alexander B. Kurzhanski
  • Karl Sigmund

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 287)

Table of contents

  1. Front Matter
    Pages N2-VI
  2. Discrete Dynamical Systems

  3. Viability Theory and Multivalued Dynamics

    1. Front Matter
      Pages 29-29
    2. J.-P. Aubin, H. Frankowska
      Pages 31-38
    3. V. Hutson, J. S. Pym
      Pages 39-49
  4. Stability Analysis

  5. Controlled Dynamical Systems

  6. Biological and Social Applications

    1. Front Matter
      Pages 137-137
    2. D. G. Saari
      Pages 179-188

About these proceedings

Introduction

The investigation of special topics in systems dynamics -uncertain dynamic processes, viability theory, nonlinear dynamics in models for biomathematics, inverse problems in control systems theory-has become a major issue at the System and Decision Sciences Research Program of the International Insti­ tute for Applied Systems Analysis. The above topics actually reflect two different perspectives in the investigation of dynamic processes. The first, motivated by control theory, is concerned with the properties of dynamic systems that are stable under vari­ ations in the systems' parameters. This allows us to specify classes of dynamic systems for which it is possible to construct and control a whole "tube" of trajectories assigned to a system with uncertain parameters and to resolve some inverse problems of control theory within numerically stable solution schemes. The second perspective is to investigate generic properties of dynamic systems that are due to nonlinearity (as bifurcations theory, chaotic behavior, stability properties, and related problems in the qualitative theory of differential systems). Special stress is given to the applications of non­ linear dynamic systems theory to biomathematics and ecoloey.

Keywords

dynamical systems nonlinear dynamics nonlinearity

Editors and affiliations

  • Alexander B. Kurzhanski
    • 1
  • Karl Sigmund
    • 1
  1. 1.International Institute for Applied Systems AnalysisLaxenburgAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-00748-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-17698-5
  • Online ISBN 978-3-662-00748-8
  • Series Print ISSN 0075-8442
  • Series Online ISSN 2196-9957
  • About this book