In:
Chaos: An Interdisciplinary Journal of Nonlinear Science, AIP Publishing, Vol. 20, No. 4 ( 2010-12-01)
Abstract:
We study the transport properties of nonautonomous chaotic dynamical systems over a finite-time duration. We are particularly interested in those regions that remain coherent and relatively nondispersive over finite periods of time, despite the chaotic nature of the system. We develop a novel probabilistic methodology based upon transfer operators that automatically detect maximally coherent sets. The approach is very simple to implement, requiring only singular vector computations of a matrix of transitions induced by the dynamics. We illustrate our new methodology on an idealized stratospheric flow and in two and three-dimensional analyses of European Centre for Medium Range Weather Forecasting (ECMWF) reanalysis data.
Type of Medium:
Online Resource
ISSN:
1054-1500
,
1089-7682
Language:
English
Publisher:
AIP Publishing
Publication Date:
2010
detail.hit.zdb_id:
1472677-4
SSG:
11
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