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Transport in time-dependent dynamical systems: finite-time coherent sets.

Froyland, G, Santitissadeekorn, N and Monahan, A (2010) Transport in time-dependent dynamical systems: finite-time coherent sets. Chaos, 20 (4).

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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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Froyland, G
Monahan, A
Date : December 2010
DOI : 10.1063/1.3502450
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 13:19
Last Modified : 10 Jun 2019 13:01

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