Stochastic Dynamics

Hans Crauel, Matthias Gundlach

440 pages, parution le 01/06/1999

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Résumé

This volume gives an account of new and recent developments in the theory of random and, in particular, stochastic dynamical systems. Its purpose is to document and, to some extent, summarize the current state of the field of random dynamical systems beyond the recent monograph Random Dynamical Systems by Ludwig Arnold. The book is intended for an audience of researchers and graduate students of stochastics as well as dynamics. It contains carefully refereed contributions from experts in the field, chosen in such a way that a consistent picture can be given.

Contents

Preface
Contributors and Speakers
Lectures
Introduction

1 Stability along Trajectories at a Stochastic Bifurcation Point
2 Bifurcations of One-Dimensional Stochastic Differential Equations
3 P-Bifurcations in the Noisy Duffing-van der Pol Equation
4 The Stochastic Brusselator: Parametric Noise Destroys Hopf Bifurcation
5 Numerical Approximation of Random Attractors
6 Random Hyperbolic Systems
7 Some Questions in Random Dynamical Systems Involving Real Noise Processes
8 Topological, Smooth, and Control Techniques for Perturbed Systems
9 Perturbation Methods for Lyapunov Exponents
10 The Lyapunov Exponent of the Euler Scheme for Stochastic Differential Equations
11 Towards a Theory of Random Numerical Dynamics
12 Canonical Stochastic Differential Equations based on Lévy Processes and their Supports
13 On the Link between Fractional and Stochastic Calculus
14 Asymptotic Curvature for Stochastic Dynamical Systems
15 Stochastic Analysis on (Infinite-Dimensional) Product Manifolds
16 Evolutionary Dynamics in Random Environments
17 Microscopic and Mezoscopic Models for Mass Distributions

Index

L'auteur - Hans Crauel

Hans Crauel is of the Institut fur Mathematik at Technische Universitat Ilmenau in Germany.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Hans Crauel, Matthias Gundlach
Parution	01/06/1999
Nb. de pages	440
Format	16 x 24
Couverture	Relié
Poids	795g
Intérieur	Noir et Blanc
EAN13	9780387985121

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Stochastic Dynamics

Résumé

L'auteur - Hans Crauel

Caractéristiques techniques

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