Hierarchical Markovian modeling of multi-time scale systems

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dc.creatorAbel, M.
dc.creatorAndersen, K. H.
dc.creatorLacorata, G.
dc.date2002-01-15
dc.date2002-02-26
dc.date.accessioned2026-07-07T05:33:51Z
dc.date.available2026-07-07T05:33:51Z
dc.descriptionWe present a systematic way to analyze and model systems having many characteristic time-scales. The method we propose is employed for a test-case of a meandering jet model manifesting chaotic tracer dispersion with long time-correlations. We first choose a suitable state space partition and analyze the symbolic dynamics associated to the fluid particle position. In a second step we construct a stochastic process in terms of a multi-time Markovian model. This corresponds to a hierarchy of random travelers on a graph where each traveler moves at his own time scale. The results are compared on the basis of statistical measures such as entropies and correlation functions.
dc.description17 pages, 10 figures, submitted to Physica D
dc.identifierhttps://arxiv.org/abs/nlin/0201027
dc.identifierhttp://arxiv.org/abs/nlin/0201027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80150
dc.subjectChaotic Dynamics
dc.subjectStatistical Mechanics
dc.titleHierarchical Markovian modeling of multi-time scale systems
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