Nonlinear Competition Between Small and Large Hexagonal Patterns
patt-sol
2009-10-30 v2 Pattern Formation and Solitons
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.
Cite
@article{arxiv.patt-sol/9710004,
title = {Nonlinear Competition Between Small and Large Hexagonal Patterns},
author = {Mary Silber and Michael R. E. Proctor},
journal= {arXiv preprint arXiv:patt-sol/9710004},
year = {2009}
}
Comments
4 pages, RevTex, revised, to appear in Phys. Rev. Lett