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

A.M. Rucklidge, M. Silber, and J. Fineberg

 

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. [1] 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.