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Author : Barbara Ann Bailey
Release : 1996
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Asymptotics and Applications of Local Lyapunov Exponents by : Barbara Ann Bailey
Download or read book Asymptotics and Applications of Local Lyapunov Exponents written by Barbara Ann Bailey. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolfgang Siegert
Release : 2009
Genre : Mathematics
Kind : eBook
Book Rating : 632/5 ( reviews)
Book Synopsis Local Lyapunov Exponents by : Wolfgang Siegert
Download or read book Local Lyapunov Exponents written by Wolfgang Siegert. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: Establishing a new concept of local Lyapunov exponents the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations. Specifically, a linear differential system is considered which is controlled by a stochastic process that during a suitable noise-intensity-dependent time is trapped near one of its so-called metastable states. The local Lyapunov exponent is then introduced as the exponential growth rate of the linear system on this time scale. Unlike classical Lyapunov exponents, which involve a limit as time increases to infinity in a fixed system, here the system itself changes as the noise intensity converges, too.
Author : Ludwig Arnold
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 31X/5 ( reviews)
Book Synopsis Lyapunov Exponents by : Ludwig Arnold
Download or read book Lyapunov Exponents written by Ludwig Arnold. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : J.N. Perry
Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 103/5 ( reviews)
Book Synopsis Chaos in Real Data by : J.N. Perry
Download or read book Chaos in Real Data written by J.N. Perry. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Chaos in Real Data studies the range of data analytic techniques available to study nonlinear population dynamics for ecological time series. Several case studies are studied using typically short and noisy population data from field and laboratory. A range of modern approaches, such as response surface methodology and mechanistic mathematical modelling, are applied to several case studies. Experts honestly appraise how well these methods have performed on their data. The accessible style of the book ensures its readability for non-quantitative biologists. The data remain available, as benchmarks for future study, on the worldwide web.
Author : Ludwig Arnold
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 957/5 ( reviews)
Book Synopsis Lyapunov Exponents by : Ludwig Arnold
Download or read book Lyapunov Exponents written by Ludwig Arnold. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt:
