2002/01/15 by M. Abel, Mathieu Abel, Knud Andersen +6
Physics and Astronomy · #Chaos control and synchronization #Quantum chaos and dynamical systems #Scientific Research and Discoveries #cond-mat.stat-mech #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0201027
17 pages, 10 figures, submitted to Physica D
arxiv created 2002/02/26 · arxiv updated 2009/11/30
We 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.