Nonlinear competition between small and large hexagonal patterns

Mary Silber, Michael R E Proctor

Research output: Contribution to journalArticlepeer-review

57 Scopus citations


Recent experiments by Kudrolli, Pier, and Gollub [Physica D (to be published)] on surface waves, parametrically excited by two-frequency forcing, show a transition from a small hexagonal standing wave pattern to a triangular “superlattice” pattern. We show that generically the hexagons and the superlattice wave patterns bifurcate simultaneously from the flat surface state as the forcing amplitude is increased, and that the experimentally observed transition can be described by considering a low-dimensional bifurcation problem. A number of predictions come out of this general analysis.

Original languageEnglish (US)
Pages (from-to)2450-2453
Number of pages4
JournalPhysical review letters
Issue number12
StatePublished - Sep 21 1998

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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