Some remarks on classical, quantum and stochastic dynamical systems -- Neural networks: Deterministic and stochastic dynamics -- Learning in neural networks -- Mathematical modelling on random graphs of the spread of sexually transmitted diseases with emphasis on the HIV infection -- Sustained chemical dissipative structures some recent developments -- Space-time dynamics in thermal convection in an annular geometry -- Invariant' measures in hydrodynamic systems with random perturbations -- Anomalous transport of energy in tokamaks and the beasts model -- White Noise and Stochastic Variational Calculus for Gaussian Random Fields -- Chaos in vibrotransportation -- Random perturbation and its application to simulated annealing -- Rattling vibrations in gearboxes -- Feedback control of resistive modes in tokamaks -- On a Cantor structure in a satellite scattering problem -- Controlling Chaos through parametric excitations -- Dynamical systems methods in accelerator physics: The dynamic aperture problem -- Deterministic chaos versus random noise: Finite correlation dimension for colored noises with power-law power spectra -- Fractional diffusion -- White noise analysis and quantum field theory.

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.