Lyapunov Exponents

Proceedings of a Conference held in Oberwolfach, May 28 - June 2, 1990
Herausgegeben:Arnold, Ludwig; Crauel, Hans; Eckmann, Jean-Pierre

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Lecture Notes in Mathematics 1486
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-54662-7
• 1991
• Seitenzahl: 376
• Erscheinungstermin: 23. Oktober 1991
• Englisch
• Abmessung: 235mm x 155mm x 21mm
• Gewicht: 567g
• ISBN-13: 9783540546627
• ISBN-10: 3540546626
• Artikelnr.: 23887643

Inhaltsangabe

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.