# Parametrically excited surface waves: two-frequency forcing, normal form symmetries, and pattern selection.

@article{Silber1999ParametricallyES, title={Parametrically excited surface waves: two-frequency forcing, normal form symmetries, and pattern selection.}, author={M. Silber and A. Skeldon}, journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics}, year={1999}, volume={59 5 Pt B}, pages={ 5446-56 } }

Motivated by experimental observations of exotic free surface standing wave patterns in the two-frequency Faraday experiment, we investigate the role of normal form symmetries in the associated pattern-selection problem. With forcing frequency components in ratio m/n, where m and n are coprime integers that are not both odd, there is the possibility that both harmonic waves and subharmonic waves may lose stability simultaneously, each with a different wave number. We focus on this situation and… Expand

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