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

Rucklidge, AM, Silber, M and Fineberg, J (2003) Secondary instabilities of hexagons: a bifurcation analysis of experimentally observed Faraday wave patterns. In: Bifurcations, Symmetry and Patterns. Trends in Mathematics . Birkhauser Verlag , 101 - 114 . ISBN 978-3-7643-7020-6

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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 analyse the bifurcations involved in creating the three new patterns using a symmetry-based approach. Each of the three examples reveals a different situation that can arise in the theoretical analysis.

Item Type: Book Section
Keywords: faraday, hexagons
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)
Depositing User: Symplectic Publications
Date Deposited: 13 Dec 2012 15:59
Last Modified: 08 Feb 2013 17:41
Status: Published
Publisher: Birkhauser Verlag
URI: http://eprints.whiterose.ac.uk/id/eprint/74787

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