Rucklidge, A.M. orcid.org/0000-0003-2985-0976, Silber, M. and Fineberg, J. (2003) Secondary Instabilities of Hexagons: A Bifurcation Analysis of Experimentally Observed Faraday Wave Patterns. In: Buescu, J., Castro, S. B. S. D., Dias, A. P. S. and Labouriau, I. S., (eds.) Bifurcation, Symmetry and Patterns. Trends in Mathematics . Springer Nature , Basel, Switzerland , pp. 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.
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Item Type: | Book Section |
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Copyright, Publisher and Additional Information: | This item is protected by copyright. This is an author produced version of a book chapter published in Bifurcation, Symmetry and Patterns. Uploaded in accordance with the publisher's self-archiving policy. |
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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: | 12 Feb 2025 12:49 |
Last Modified: | 12 Feb 2025 16:02 |
Published Version: | https://link.springer.com/chapter/10.1007/978-3-03... |
Status: | Published |
Publisher: | Springer Nature |
Series Name: | Trends in Mathematics |
Identification Number: | 10.1007/978-3-0348-7982-8_6 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:223205 |