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.
CITATION STYLE
Rucklidge, A. M., Silber, M., & Fineberg, J. (2003). Secondary Instabilities of Hexagons: A Bifurcation Analysis of Experimentally Observed Faraday Wave Patterns. In Bifurcation, Symmetry and Patterns (pp. 101–114). Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7982-8_6
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