Lyapunov Exponents : Proceedings of a Conference held in Oberwolfach, May 28 - June 2, 1990

Language: English

Published by Springer, 1991

3540546626 / 9783540546627

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Druck auf Anfrage Neuware - Printed after ordering - Random dynamical systems.- Lyapunov exponents and asymptotic behaviour of the product of random matrices.- Lyapunov exponents of random dynamical systems on grassmannians.- Eigenvalue representation for the Lyapunov exponents of certain Markov processes.- Analytic dependence of Lyapunov exponents on transition probabilities.- A second order extension of Oseledets theorem.- The upper Lyapunov exponent of Sl(2,R) cocycles: Discontinuity and the problem of positivity.- Linear skew-product flows and semigroups of weighted composition operators.- Filtre de Kalman Bucy et exposants de Lyapounov.- Invariant measures for nonlinear stochastic differential equations.- How to construct stochastic center manifolds on the level of vector fields.- Additive noise turns a hyperbolic fixed point into a stationary solution.- Lyapunov functions and almost sure exponential stability.- Large deviations for random expanding maps.- Multiplicative ergodic theorems in infinite dimensions.- Stochastic flow and lyapunov exponents for abstract stochastic PDEs of parabolic type.- The Lyapunov exponent for products of infinite-dimensional random matrices.- Lyapunov exponents and complexity for interval maps.- An inequality for the Ljapunov exponent of an ergodic invariant measure for a piecewise monotonic map of the interval.- Généralisation du théorème de Pesin pour l' -entropie.- Systems of classical interacting particles with nonvanishing Lyapunov exponents.- Lyapunov exponents from time series.- Lyapunov exponents in stochastic structural dynamics.- Stochastic approach to small disturbance stability in power systems.- Lyapunov exponents and invariant measures of equilibria and limit cycles.- Sample stability of multi-degree-of-freedom systems.- Lyapunov exponents of control flows.; Since the predecessor to this volume (LNM 1186, Eds. L.Arnold, V. Wihstutz)appeared in 1986, significant progresshas been made in the theory and applications of Lyapunovexponents - one of the key concepts of dynamical systems -and in particular, pronounced shifts towards nonlinear andinfinite-dimensional systems and engineering applicationsare observable. This volume opens with an introductorysurvey article (Arnold/Crauel) followed by 26 original(fully refereed) research papers, some of which have in partsurvey character.From the Contents: L. Arnold, H. Crauel: Random DynamicalSystems.- I.Ya. Goldscheid: Lyapunov exponents andasymptotic behaviour of the product of random matrices.- Y.Peres: Analytic dependence of Lyapunov exponents ontransition probabilities.- O. Knill: The upper Lyapunovexponent of Sl (2, R) cocycles:Discontinuity and theproblem of positivity.- Yu.D. Latushkin, A.M. Stepin: Linearskew-product flows and semigroups of weighted compositionoperators.- P. Baxendale: Invariant measures for nonlinearstochastic differential equations.- Y. Kifer: Largedeviationsfor random expanding maps.- P. Thieullen:Generalisation du theoreme de Pesin pour l' -entropie.-S.T. Ariaratnam, W.-C. Xie: Lyapunov exponents in stochasticstructural mechanics.- F. Colonius, W. Kliemann: Lyapunovexponents of control flows.…

Seller Inventory # 9783540546627

Title
Lyapunov Exponents : Proceedings of a Conference held in Oberwolfach, May 28 - June 2, 1990
Author
Hans Crauel
Publisher
Springer
Publication year
1991
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540546626
ISBN 13
9783540546627
Item weight
569 grams
Dimensions
235x155x21 mm

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