Lyapunov Exponents
Proceedings of a Conference held in Oberwolfach, May 28 - June 2, 1990
Herausgegeben: Arnold, Ludwig; Crauel, Hans; Eckmann, Jean-Pierre
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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 of which have in partsurvey character.From the Contents: L. Arnold, H. Crauel: Random DynamicalSystems.- I.Ya. ...
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.
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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