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Three-wave interactions and spatio-temporal chaos in the Faraday wave experiment

Rucklidge, AM, Silber, M and Skeldon, AC (2011) Three-wave interactions and spatio-temporal chaos in the Faraday wave experiment. (Unpublished)

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Abstract

Three-wave interactions form the basis of our understanding of many nonlinear pattern forming systems because they encapsulate the most basic nonlinear interactions. In problems with two comparable length scales, such as the Faraday wave experiment with multi-frequency forcing, consideration of three-wave interactions can explain the presence of the spatio-temporal chaos found in some experiments, enabling some previously unexplained results to be interpreted in a new light. The predictions are illustrated with numerical simulations of a model partial differential equation.

Item Type: Article
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)
Depositing User: Symplectic Publications
Date Deposited: 20 Oct 2011 10:50
Last Modified: 08 Feb 2013 17:34
Status: Unpublished
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/43323

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