Rucklidge, AM, Silber, M and Skeldon, AC (2012) Three-wave interactions and spatiotemporal chaos. Physical Review Letters, 108 (7). ISSN 0031-9007
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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 spatiotemporal chaos. Two length scales arise naturally in the Faraday wave experiment, and our results enable some previously unexplained experimental observations of spatiotemporal chaos to be interpreted in a new light. Our predictions are illustrated with numerical simulations of a model partial differential equation.
|Copyright, Publisher and Additional Information:||© 2012, American Physical Society. This is an author produced version of a paper published in Physical Review Letters. Uploaded in accordance with the publisher's self-archiving policy.|
|Institution:||The University of Leeds|
|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:||06 Dec 2012 11:56|
|Last Modified:||07 Jun 2014 12:55|
|Publisher:||American Physical Society|
Available Versions of this Item
Three-wave interactions and spatio-temporal chaos in the Faraday wave experiment. (deposited 20 Oct 2011 10:50)
- Three-wave interactions and spatiotemporal chaos. (deposited 06 Dec 2012 11:56) [Currently Displayed]
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