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. C. 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… CONTINUE READING

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