Finite-time Lyapunov exponents for products of random transformations

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dc.creatorGamba, Andrea
dc.date2003-03-26
dc.date.accessioned2026-07-07T05:34:38Z
dc.date.available2026-07-07T05:34:38Z
dc.descriptionIt is shown how continuous products of random transformations constrained by a generic group structure can be studied by using Iwasawa's decomposition into ``angular'', ``diagonal'' and ``shear'' degrees of freedom. In the case of a Gaussian process a set of variables, adapted to the Iwasawa decomposition and still having a Gaussian distribution, is introduced and used to compute the statistics of the finite-time Lyapunov spectrum of the process. The variables also allow to show the exponential freezing of the ``shear'' degrees of freedom, which contain information about the Lyapunov eigenvectors.
dc.identifierhttps://arxiv.org/abs/nlin/0303060
dc.identifierhttp://arxiv.org/abs/nlin/0303060
dc.identifierJ. Stat. Phys. 112 (2003) 193-218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80443
dc.subjectChaotic Dynamics
dc.subjectStatistical Mechanics
dc.titleFinite-time Lyapunov exponents for products of random transformations
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