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Lyapunov Exponents

Lyapunov Exponents (Paperback)

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Synopsis

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.

Science & MathematicsMathematicsApplied mathematicsStochasticsScience & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equationsScience & MathematicsScience: general issuesMaths for scientistsTechnicalEngineering & General TechnologyMaths for engineers Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 23/10/1991 ISBN-13: 9783540546627  Details: Type: Paperback Format: Books
Availability: Printed to order. Despatched in 2-3 weeks.  

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