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Three-wave interactions and spatio-temporal chaos

Rucklidge, AM, Silber, M and Skeldon, Anne (2012) Three-wave interactions and spatio-temporal chaos Physical Review Letters, 108 (7), 075450.


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Three-wave interactions form the basis of our understanding of many pattern forming systems because they encapsulate the most basic nonlinear interactions. In problems with two comparable length scales, it is possible for two waves of the shorter wavelength to interact with one wave of the longer, as well as for two waves of the longer wavelength to interact with one wave of the shorter. Consideration of both types of three-wave interactions can generically explain the presence of complex patterns and spatio-temporal chaos. Two length scales arise naturally in the Faraday wave experiment with multi-frequency forcing, and our results enable some previously unexplained experimental observations of spatio-temporal chaos to be interpreted in a new light. Our predictions are illustrated with numerical simulations of a model partial differential equation.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Rucklidge, AM
Silber, M
Date : 15 February 2012
DOI : 10.1103/PhysRevLett.108.074504
Copyright Disclaimer : Copyright 2012 The American Physical Society.
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 16 Mar 2012 10:35
Last Modified : 16 Jan 2019 16:33

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