Stochastic Dynamics

This volume gives an account of new and recent developments in the theory of random and, in particular, stochastic dynamical systems. Several new and exciting insights into the unexpected variety of dynamical behaviors resulting from the influence of stochastic perturbations are conveyed to the reader. It is intended for an audience of researchers and graduate students from stochastics as well as dynamics.

Inhalt
Stability Along Trajectories at a Stochastic Bifurcation Point.- Bifurcations of One-Dimensional Stochastic Differential Equations.- P-Bifurcations in the Noisy Duffing-van der Pol Equation.- The Stochastic Brusselator: Parametric Noise Destroys Hoft Bifurcation.- Numerical Approximation of Random Attractors.- Random Hyperbolic Systems.- Some Questions in Random Dynamical Systems Involving Real Noise Processes.- Topological, Smooth, and Control Techniques for Perturbed Systems.- Perturbation Methods for Lyapunov Exponents.- The Lyapunov Exponent of the Euler Scheme for Stochastic Differential Equations.- Towards a Theory of Random Numerical Dynamics.- Canonical Stochastic Differential Equations based on Lévy Processes and Their Supports.- On the Link Between Fractional and Stochastic Calculus.- Asymptotic Curvature for Stochastic Dynamical Systems.- Stochastic Analysis on (Infinite-Dimensional) Product Manifolds.- Evolutionary Dynamics in Random Environments.- Microscopic and Mezoscopic Models for Mass Distributions.