Rucklidge, AM, Silber, M and Fineberg, J (2003) Secondary instabilities of hexagons: a bifurcation analysis of experimentally observed Faraday wave patterns. In: Buescu, EJ, Castro, SBSD, Dias, APS and Labouriau, IS, (eds.) Bifurcations, Symmetry and Patterns. Trends in Mathematics . Birkhauser Verlag , 101 - 114 . ISBN 978-3-7643-7020-6
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.
Metadata
| Authors/Creators: |
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| Keywords: | faraday, hexagons |
| Dates: |
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| Institution: | The University of Leeds |
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
| Depositing User: | Symplectic Publications |
| Date Deposited: | 13 Dec 2012 15:59 |
| Last Modified: | 20 Feb 2024 15:41 |
| Status: | Published |
| Publisher: | Birkhauser Verlag |
| Series Name: | Trends in Mathematics |
| Identification Number: | https://doi.org/10.1007/978-3-0348-7982-8_6 |
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