Faraday Wave Pattern Selection Via Multi-Frequency Forcing

Details Faraday Wave Pattern Selection Via Multi-Frequency Forcing Faraday Wave Pattern Selection Via Multi-Frequency Forcing

2003-07-30

arxiv.org/abs/nlin/0307056v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 2 figures, 1 table

Scientific paper

We use symmetry considerations to investigate how damped modes affect pattern selection in multi-frequency forced Faraday waves. We classify and tabulate the most important damped modes and determine how the corresponding resonant triad interactions depend on the forcing parameters. The relative phase of the forcing terms may be used to enhance or suppress the nonlinear interactions. We compare our predictions with numerical results and discuss their implications for recent experiments. Our results suggest how to design multi-frequency forcing functions that favor chosen patterns in the lab.

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