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TitleLyapunov Exponents [electronic resource] : Proceedings of a Conference held in Oberwolfach, May 28 - June 2, 1990 / edited by Ludwig Arnold, Hans Crauel, Jean-Pierre Eckmann
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1991
Connect tohttp://dx.doi.org/10.1007/BFb0086653
Descript VIII, 368 p. online resource

CONTENT

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 -- Gรฉnรฉralisation du thรฉorรจme 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


Mathematics Mathematical analysis Analysis (Mathematics) System theory Calculus of variations Probabilities Physics Applied mathematics Engineering mathematics Mathematics Probability Theory and Stochastic Processes Analysis Appl.Mathematics/Computational Methods of Engineering Theoretical Mathematical and Computational Physics Systems Theory Control Calculus of Variations and Optimal Control; Optimization



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