Nonlinear Competition Between Small and Large Hexagonal Patterns
arXiv:patt-sol/9710004 · doi:10.1103/PhysRevLett.81.2450
Abstract
Recent experiments by Kudrolli, Pier and Gollub 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.
4 pages, RevTex, revised, to appear in Phys. Rev. Lett
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Cited by in corpus (22)
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