White Rose University Consortium logo
University of Leeds logo University of Sheffield logo York University logo

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 (Unpublished)

Warning

There is a more recent version of this eprint available. Click here to view it.

Full text available as:
[img] Other
1108.2962v1
Available under licence : See the attached licence file.

Download (604Kb)

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
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: 20 Oct 2011 10:50
Last Modified: 13 Jun 2014 15:22
Status: Unpublished
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/43323

Available Versions of this Item

Actions (login required)

View Item View Item