Secondary instabilities of hexagons: a bifurcation analysis of experimentally observed Faraday wave patterns
Pattern Formation and Solitons
2007-05-23 v1
Abstract
We examine three experimental observations of Faraday waves generated by two-frequency forcing, in which a primary hexagonal pattern becomes unstable to three different superlattice patterns. We use the symmetry-based approach developed by Tse et al. to analyse the bifurcations involved in creating the three new patterns. Each of the three examples reveals a different situation that can arise in the theoretical analysis.
Keywords
Cite
@article{arxiv.nlin/0108005,
title = {Secondary instabilities of hexagons: a bifurcation analysis of experimentally observed Faraday wave patterns},
author = {A. M. Rucklidge and M. Silber and J. Fineberg},
journal= {arXiv preprint arXiv:nlin/0108005},
year = {2007}
}
Comments
14 pages LaTeX, Birkhauser style, 5 figures, submitted to the proceedings of the conference on Bifurcations, Symmetry and Patterns, held in Porto, June 2000