Three-wave interactions and spatiotemporal chaos

A. M. Rucklidge*, M. Silber, A. C. Skeldon

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number074504
JournalPhysical review letters
Volume108
Issue number7
DOIs
StatePublished - Feb 15 2012

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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