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

A. M. Rucklidge·M. Silber·J. Fineberg
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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.

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A. M. Rucklidge, M. Silber, J. Fineberg. 2001-08-06. Secondary instabilities of hexagons: a bifurcation analysis of experimentally observed Faraday wave patterns. https://arxiv.org/abs/nlin/0108005

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