Lyapunov exponents
proceedings of a conference held in Oberwolfach, May 28-June 2, 1990
by L. Arnold, H. Crauel, Jean Pierre Eckmann, and H. Crauel
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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Subjects
Stochastic systems, Congresses, Lyapunov exponents, Differentiable dynamical systems, Stochastic analysis, Lyapunov functions, Mechanics, Mathematics, Distribution (Probability theory), System theory, Global analysis (Mathematics), Mathematical optimization, Mathematical physics, Analysis, Probability Theory and Stochastic Processes, Mathematical and Computational Physics, Control Systems Theory, Calculus of Variations and Optimal Control; Optimization| Edition | Availability |
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Lyapunov Exponents: Proceedings of a Conference Held in Oberwolfach, May 28-June 2, 1990 (Lecture Notes in Mathematics)
December 1991, Springer
0387546626 9780387546629
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Lyapunov exponents: proceedings of a conference held in Oberwolfach, May 28-June 2, 1990
1991, Springer-Verlag, Springer
in English
3540546626 9783540546627
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