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.
Author(s): Sergio Albeverio, Teresa Arede (auth.), Ricardo Lima, Ludwig Streit, Rui Vilela Mendes (eds.)
Series: Lecture Notes in Physics 355
Publisher: Springer Berlin Heidelberg
Year: 1990
Language: English
Pages: 302
Tags: Mathematical Methods in Physics; Numerical and Computational Methods; Thermodynamics; Statistical Physics; Atoms, Molecules, Clusters and Plasmas; Probability Theory and Stochastic Processes
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
