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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 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. 376 pp. Englisch, Französisch. N° de réf. du vendeur 9783540546627
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