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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

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概要 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 a...nd 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.続きを見る
目次 Introductory Remarks
I General Concepts
Some Basic Ideas on a Dynamic Information Theory
Aspects of Optimization and Adaptation
Relaxed Markov Processes, Jackson Networks and Polymerisation
II Chaotic Dynamics-Theory
Noodle-Map Chaos: A Simple Example
A Mechanism for Spurious Solutions of Nonlinear Boundary Value Problems
Approach to Equilibrium: Kuzmin's Theorem for Dissipative and Expanding Maps
Complex Behaviours in Macrosystems Near Polycritical Points
III Chaotic Dynamics - Real Systems and Experimental Verification
Chaos in Classical Mechanics: The Double Pendulum
Chaos in Continuous Stirred Chemical Reactors
The Interface Between Mathematical Chaos and Experimental Chemistry
The Enzyme and the Strange Attractor-Comparisons of Experimental and Numerical Data for an Enzyme Reaction with Chaotic Motion
Nonuniform Information Processing by Strange Attractors of Chaotic Maps and Flows
IV Stability and Instability in Dynamical Networks
Generalized Modes and Nonlinear Dynamical Systems
Dynamics of Linear and Nonlinear Autocatalysis and Competition
Permanence and Uninvadability for Deterministic Population Models
V Stochasticity in Complex Systems
Random Selection and the Neutral Theory-Sources of Stochasticity in Replication
The Dynamics of Catalytic Hypercycles-A Stochastic Simulation
Perturbation-Dependent Coexistence and Species Diversity in Ecosystems
Chance and Necessity in Urban Systems
Random Phenomena in Nonlinear Systems in Connection with the Volterra Approach
List of Contributors.
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登録日 2020.06.27
更新日 2020.06.28