vix.ing · top · new · best · stats · spec

Secondary instabilities of hexagons: a bifurcation analysis of experimentally observed Faraday wave patterns

2001/08/06 by A. M. Rucklidge, Rucklidge, A. M., M. Silber +3
Physics and Astronomy · #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #nlin.PS

paper · pdf · doi:10.48550/arxiv.nlin/0108005

14 pages LaTeX, Birkhauser style, 5 figures, submitted to the proceedings of the conference on Bifurcations, Symmetry and Patterns, held in Porto, June 2000

arxiv created 2001/08/06 · arxiv updated 2009/11/30

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.

Related