Lyapunov Exponents Proceedings of a Conference held in Oberwolfach, May 28 - June 2, 1990 |
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| Editor:
| Arnold, L.
Crauel, H.
Eckmann, J. P. |
| Series title: | Lecture Notes in Mathematics Ser. |
| ISBN: | 978-3-540-54662-7 |
| Publication Date: | Jan 1991 |
| Publisher: | Springer
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| Book Format: | Paperback |
| List Price: | AUD $90.95 |
Book Description:
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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...
More DescriptionSince 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.