Format:
Online-Ressource (VIII, 365 pp)
,
digital
Edition:
Springer eBook Collection. Mathematics and Statistics
ISBN:
9783540464310
Series Statement:
Lecture notes in mathematics 1486
Content:
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
Additional Edition:
ISBN 9783540546627
Additional Edition:
Erscheint auch als Druck-Ausgabe Lyapunov exponents Berlin : Springer, 1991 ISBN 9783540546627
Additional Edition:
ISBN 3540546626
Additional Edition:
ISBN 0387546626
Language:
English
Subjects:
Mathematics
Keywords:
Ljapunov-Exponent
;
Konferenzschrift
URL:
Volltext
(Deutschlandweit zugänglich)
Author information:
Arnold, Ludwig 1937-
Author information:
Eckmann, Jean-Pierre 1944-
Author information:
Crauel, Hans 1956-