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Stochastic Phenomena and Chaotic Behaviour in Complex Systems

Proceedings of the Fourth Meeting of the UNESCO Working Group on Systems Analysis Flattnitz, Kärnten, Austria, June 6–10, 1983

  • Conference proceedings
  • © 1984

Overview

Editors:
  1. Peter Schuster

    1. Institut für Theoretische Chemie und Strahlenchemie, Universität Wien, Wien, Austria

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Part of the book series: Springer Series in Synergetics (SSSYN, volume 21)

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Table of contents (21 papers)

  1. Front Matter

    Pages I-VIII
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  2. Introductory Remarks

    1. Introductory Remarks

      • P. Schuster
      Pages 1-4

  3. General Concepts

    1. Front Matter

      Pages 5-5
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    2. Some Basic Ideas on a Dynamic Information Theory

      • H. Haken
      Pages 6-12

    3. Aspects of Optimization and Adaptation

      • Y. M. Ermoliev
      Pages 13-16

    4. Relaxed Markov Processes, Jackson Networks and Polymerisation

      • P. Whittle
      Pages 17-27

  4. Chaotic Dynamics-Theory

    1. Front Matter

      Pages 29-29
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    2. Noodle-Map Chaos: A Simple Example

      • O. E. Rössler, J. L. Hudson, J. D. Farmer
      Pages 30-37

    3. A Mechanism for Spurious Solutions of Nonlinear Boundary Value Problems

      • H.-O. Peitgen
      Pages 38-51

    4. Approach to Equilibrium: Kuzmin’s Theorem for Dissipative and Expanding Maps

      • D. Mayer
      Pages 52-66

    5. Complex Behaviours in Macrosystems Near Polycritical Points

      • P. Coullet
      Pages 67-83

  5. Chaotic Dynamics-Real Systems and Experimental Verification

    1. Front Matter

      Pages 85-85
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    2. Chaos in Classical Mechanics: The Double Pendulum

      • P. H. Richter, H.-J. Scholz
      Pages 86-97

    3. Chaos in Continuous Stirred Chemical Reactors

      • J. L. Hudson, J. C. Mankin, O. E. Rössler
      Pages 98-105

    4. The Interface Between Mathematical Chaos and Experimental Chemistry

      • R. M. Noyes
      Pages 106-115

    5. The Enzyme and the Strange Attractor — Comparisons of Experimental and Numerical Data for an Enzyme Reaction with Chaotic Motion

      • L. F. Olsen
      Pages 116-123

    6. Nonuniform Information Processing by Strange Attractors of Chaotic Maps and Flows

      • J. S. Nicolis, G. Mayer-Kress, G. Haubs
      Pages 124-139

  6. Stability and Instability in Dynamical Networks

    1. Front Matter

      Pages 141-141
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    2. Generalized Modes and Nonlinear Dynamical Systems

      • P. E. Phillipson
      Pages 142-159

    3. Dynamics of Linear and Nonlinear Autocatalysis and Competition

      • J. Hofbauer, P. Schuster
      Pages 160-172
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Keywords

About this book

This book contains all invited contributions of an interdisciplinary workshop of the UNESCO working group on systems analysis of the European and North American region entitled "Stochastic Phenomena and Chaotic Behaviour in Complex Systems". The meeting was held at Hotel Winterthalerhof in Flattnitz, Karnten, Austria from June 6-10, 1983. This workshop brought together some 20 mathematicians, physicists, chemists, biologists, psychologists and economists from different European and American coun­ tries who share a common interest in the dynamics of complex systems and their ana­ lysis by mathematical techniques. The workshop in Flattnitz continued a series of meetings of the UNESCO working group on systems analysis which started in 1977 in Bucharest and was continued in Cambridge, U.K., 1981 and in Lyon, 1982. The title of the meeting was chosen in order to focus on one of the current problems of the analysis of dynamical systems. A deeper understanding of the vari­ ous sources of stochasticity is of primary importance for the interpretation of experimental observations. Chaotic dynamics plays a central role since it intro­ duces a stochastic element into deterministic systems.

Editors and Affiliations

  • Institut für Theoretische Chemie und Strahlenchemie, Universität Wien, Wien, Austria

    Peter Schuster

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