Stochastic Phenomena and Chaotic Behaviour in Complex Systems

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.