Dynamics and Stochastic Processes Theory and Applications: Proceedings of a Workshop Held in Lisbon, Portugal October 24–29, 1988

Description

The contributions to this volume review the mathematical description of complex phenomena from both a deterministic and stochastic point of view. The interface between theoretical models and the understanding of complexity in engineering, physics and chemistry is explored. The reader will find information on neural networks, chemical dissipation, fractal diffusion, problems in accelerator and fusion physics, pattern formation and self-organisation, control problems in regions of insta- bility, and mathematical modeling in biology. Some remarks on classical, quantum and stochastic dynamical systems....Pages 1-26 Neural networks: Deterministic and stochastic dynamics....Pages 27-41 Learning in neural networks....Pages 42-54 Mathematical modelling on random graphs of the spread of sexually transmitted diseases with emphasis on the HIV infection....Pages 55-75 Sustained chemical dissipative structures some recent developments....Pages 76-94 Space-time dynamics in thermal convection in an annular geometry....Pages 95-106 Invariant' measures in hydrodynamic systems with random perturbations....Pages 107-113 Anomalous transport of energy in tokamaks and the beasts model....Pages 114-125 White Noise and Stochastic Variational Calculus for Gaussian Random Fields....Pages 126-141 Chaos in vibrotransportation....Pages 142-164 Random perturbation and its application to simulated annealing....Pages 165-174 Rattling vibrations in gearboxes....Pages 175-195 Feedback control of resistive modes in tokamaks....Pages 196-224 On a Cantor structure in a satellite scattering problem....Pages 225-241 Controlling Chaos through parametric excitations....Pages 242-250 Dynamical systems methods in accelerator physics: The dynamic aperture problem....Pages 251-259 Deterministic chaos versus random noise: Finite correlation dimension for colored noises with power-law power spectra....Pages 260-275 Fractional diffusion....Pages 276-286 White noise analysis and quantum field theory....Pages 287-298