Stochastic Dynamics - Hardcover

Hardcover

ISBN 10: 0387985123 ISBN 13: 9780387985121

Publisher: Springer, 1999

Synopsis

The conference on Random Dynamical Systems took place from April 28 to May 2, 1997, in Bremen and was organized by Matthias Gundlach and Wolfgang Kliemann with the help of th'itz Colonius and Hans Crauel. It brought together mathematicians and scientists for whom mathematics, in particular the field of random dynamical systems, is of relevance. The aim of the conference was to present the current state in the theory of random dynamical systems (RDS), its connections to other areas of mathematics, major fields of applications, and related numerical methods in a coherent way. It was, ho~vever, not by accident that the conference was centered around the 60th birthday of Ludwig Arnold. The theory of RDS o~ves much of its current state and status to Ludwig Arnold. Many aspects of the theory, a large number of results, and several substantial contributions were accomplished by Ludwig Arnold. An even larger number of contributions has been initiated by him. The field be- fited much from his enthusiasm, his openness for problems not completely aligned with his o~vn research interests, his ability to explain mathematics to researchers from other sciences as well as his ability to get mathema- clans interested in problems from applications not completely aligned with their research interests. In particular, a considerable part of the impact stochastics had on physical chemistry as well as on engineering goes back to Ludwig Arnold. He built up an active research group, kno~vn as "the Bremen group".

About this title

Synopsis

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, summarise 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 from stochastics as well as dynamics. It contains carefully refereed contributions from experts in the field, chosen such that a consistent picture can be given. Recent results on stochastic bifurcation, hyperbolic systems, numerics and asymptotics, more general driving processes for stochastic differential equations, and stochastic analysis on infinite-dimensional manifolds are presented in a comprehensible manner. Several new and exciting insights int o the unexpected variety of dynamical behaviours resulting from the influence of stochastic perturbations are conveyed to the reader.

Edition details

• Publisher: Springer
• Publication date: 1999
• Language: English
• ISBN 10: 0387985123
• ISBN 13: 9780387985121
• Binding: Hardcover
• Number of pages: 467
• Editor: Crauel Hans, Gundlach Matthias