Lyapunov Exponents: Proceedings of a Conference held in Oberwolfach, May 28 - June 2, 1990 (Lecture Notes in Mathematics) (English and French Edition): 1486 - Brossura

Brossura

ISBN 10: 3540546626 ISBN 13: 9783540546627

Casa editrice: Springer, 1991

Riassunto

Since the predecessor to this volume (LNM 1186, Eds. L. Arnold, V. Wihstutz)appeared in 1986, significant progress has been made in the theory and applications of Lyapunov exponents - one of the key concepts of dynamical systems - and in particular, pronounced shifts towards nonlinear and infinite-dimensional systems and engineering applications are observable. This volume opens with an introductory survey article (Arnold/Crauel) followed by 26 original (fully refereed) research papers, some of which have in part survey character. From the Contents: L. Arnold, H. Crauel: Random Dynamical Systems. - I.Ya. Goldscheid: Lyapunov exponents and asymptotic behaviour of the product of random matrices. - Y. Peres: Analytic dependence of Lyapunov exponents on transition probabilities. - O. Knill: The upper Lyapunov exponent of Sl (2, R) cocycles:Discontinuity and the problem of positivity. - Yu.D. Latushkin, A.M. Stepin: Linear skew-product flows and semigroups of weighted composition operators. - P. Baxendale: Invariant measures for nonlinear stochastic differential equations. - Y. Kifer: Large deviationsfor random expanding maps. - P. Thieullen: Generalisation du theoreme de Pesin pour l' -entropie. - S.T. Ariaratnam, W. -C. Xie: Lyapunov exponents in stochastic structural mechanics. - F. Colonius, W. Kliemann: Lyapunov exponents of control flows.

Su questo libro

Contenuti

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.

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 1991
• Lingua: Inglese
• ISBN 10: 3540546626
• ISBN 13: 9783540546627
• Rilegatura: Copertina flessibile
• Numero di pagine: 376
• Redattore: Arnold Ludwig
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania