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Stochastic dynamics

Author: H Crauel; Matthias Gundlach
Publisher: New York : Springer, ©1999.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
Stochastic dynamics.
New York : Springer, ©1999
(DLC) 98043868
(OCoLC)40331114
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: H Crauel; Matthias Gundlach
ISBN: 0387226559 9780387226552 0585499187 9780585499185 6610010358 9786610010356
OCLC Number: 54852065
Notes: Papers from a conference held Apr. 28-May 2, 1997, in Bremen, Germany.
Description: 1 online resource (xxvii, 440 pages) : illustrations
Contents: Stability along trajectories at a stochastic bifurcation point / Peter Baxendale --
Bifurcations of one-dimensional stochastic differential equations / Hans Crauel, Peter Imkeller, and Marcus Steinkamp --
P-bifurcations in the noisy duffing-van der Pol equation / Yan Liang and N. Sri Namachchivaya --
The stochastic Brusselator: parametric noise destroys Hopf bifurcation / Ludwig Arnold, Gabriele Bleckert, and Klaus Reiner Schenk-Hoppé --
Numerical approximation of random attractors / Hannes Keller and Gunter Ochs --
Random hyperbolic systems / Volker Matthias Gundlach and Yuri Kifer --
Some questions in random dynamical systems involving real noise processes / Russell Johnson --
Topological, smooth, and control techniques for perturbed systems / Fritz Colonius and Wolfgang Kliemann --
Perturbation methods for Lyapunov exponents / Volker Wihstutz --
The Lyapunov exponent of the Euler scheme for stochastic differential equations / Denis Talay --
Towards a theory of random numerical dynamics / Peter E. Kloeden, Hannes Keller and Björn Schmalfuss --
Canonical stochastic differential equations based on Lévy processes and their supports / Hiroshi Kunita --
On the link between fractional and stochastic calculus / Martina Zähle --
Asymptotic curvature for stochastic dynamical systems / Michael Cranston and Yves Le Jan --
Stochastic analysis on (infinite-dimensional) product manifolds / Sergio Albeverio, Alexei Daletskii, and Yuri Kondratiev --
Evolutionary dynamics in random environments / Lloyd Demetrius and Volker Matthias Gundlach --
Microscopic and mezoscopic models for mass distributions / Peter Kotelenez.
Responsibility: Hans Crauel, Matthias Gundlach, editors.

Abstract:

Focusing on the mathematical description of stochastic dynamics in discrete as well as in continuous time, this book investigates such dynamical phenomena as perturbations, bifurcations and chaos. It  Read more...

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