Three-wave interactions, quasipatterns and spatio-temporal chaos in the Faraday Wave experiment
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Thu, 20/10/2011 16:00 |
Alastair Rucklidge (University of Leeds) |
Differential Equations and Applications Seminar  |
DH 1st floor SR |
| 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. | |||