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Theoretical Model for Faraday Waves with Multiple-Frequency Forcing

Ron Lifshitz·Dean M. Petrich
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Abstract

A simple generalization of the Swift-Hohenberg equation is proposed as a model for the pattern-forming dynamics of a two-dimensional field with two unstable length scales. The equation is used to study the dynamics of surface waves in a fluid driven by a linear combination of two frequencies. The model exhibits steady-state solutions with two-, four-, six-, and twelve-fold symmetric patterns, similar to the periodic and quasiperiodic patterns observed in recent experiments.

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Ron Lifshitz, Dean M. Petrich. 1998-01-29. Theoretical Model for Faraday Waves with Multiple-Frequency Forcing. https://doi.org/10.1103/physrevlett.79.1261

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