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Coherent sets for nonautonomous dynamical systems

Froyland, G, Lloyd, S and Santitissadeekorn, N (2009) Coherent sets for nonautonomous dynamical systems no., 16.

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We describe a mathematical formalism and numerical algorithms for identifying and tracking slowly mixing objects in nonautonomous dynamical systems. In the autonomous setting, such objects are variously known as almost-invariant sets, metastable sets, persistent patterns, or strange eigenmodes, and have proved to be important in a variety of applications. In this current work, we explain how to extend existing autonomous approaches to the nonautonomous setting. We call the new time-dependent slowly mixing objects coherent sets as they represent regions of phase space that disperse very slowly and remain coherent. The new methods are illustrated via detailed examples in both discrete and continuous time.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Froyland, G
Lloyd, S
Date : 4 November 2009
DOI : 10.1016/j.physd.2010.03.009
Uncontrolled Keywords : math.DS, math.DS
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 13:19
Last Modified : 10 Jun 2019 13:01

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