Skip to main content
SpringerLink
Log in

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

  • Conference proceedings
  • © 1987

Overview

Editors:
  1. Alexander B. Kurzhanski

    1. International Institute for Applied Systems Analysis, Laxenburg, Austria

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Karl Sigmund

    1. International Institute for Applied Systems Analysis, Laxenburg, Austria

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (16 papers)

  1. Front Matter

    Pages N2-VI
    Download chapter PDF

  3. Viability Theory and Multivalued Dynamics

    1. Front Matter

      Pages 29-29
      Download chapter PDF

    2. A Viability Approach to Ljapunov’s Second Method

      • J.-P. Aubin, H. Frankowska
      Pages 31-38

    3. Repellers for Generalized Semidynamical Systems

      • V. Hutson, J. S. Pym
      Pages 39-49

    4. Stability for a Linear Functional Differential Equation with Infinite Delay

      • J. Milota
      Pages 50-54

  5. Controlled Dynamical Systems

    1. Front Matter

      Pages 93-93
      Download chapter PDF

    2. State Estimation for Dynamical Systems by Means of Ellipsoids

      • F. L. Chernousko
      Pages 95-105

    3. Singularity Theory for Nonlinear Optimization Problems

      • J. Casti
      Pages 106-128

    4. Modeling, Approximation, and Complexity of Linear Systems

      • J. C. Willems
      Pages 129-136

  6. Biological and Social Applications

    1. Front Matter

      Pages 137-137
      Download chapter PDF

    2. Cycling in Simple Genetic Systems: II. The Symmetric Cases

      • E. Akin
      Pages 139-153

    3. Traveling Fronts in Parabolic and Hyperbolic Equations

      • K. P. Hadeler
      Pages 154-164

    4. Competitive Exclusion by Zip Bifurcation

      • M. Farkas
      Pages 165-178

    5. Chaos and the Theory of Elections

      • D. G. Saari
      Pages 179-188
Back to top

Keywords

About this book

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.

Editors and Affiliations

  • International Institute for Applied Systems Analysis, Laxenburg, Austria

    Alexander B. Kurzhanski, Karl Sigmund

Bibliographic Information

  • Book Title: Dynamical Systems

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

  • Editors: Alexander B. Kurzhanski, Karl Sigmund

  • Series Title: Lecture Notes in Economics and Mathematical Systems

  • DOI: https://doi.org/10.1007/978-3-662-00748-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-540-17698-5Published: 08 April 1987

  • eBook ISBN: 978-3-662-00748-8Published: 11 November 2013

  • Series ISSN: 0075-8442

  • Series E-ISSN: 2196-9957

  • Edition Number: 1

  • Number of Pages: VI, 219

  • Topics: Economic Theory/Quantitative Economics/Mathematical Methods

Publish with us

Policies and ethics

Back to top

Search

Navigation