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Quasipatterns in parametrically forced systems

Rucklidge, A.M. and Silber, M. (2007) Quasipatterns in parametrically forced systems. Physical Review E: Statistical, Nonlinear and Soft Matter Physics, 75 (5). 055203. ISSN 1539-3755

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Abstract

We examine two mechanisms that have been put forward to explain the selection of quasipatterns in single and multi-frequency forced Faraday wave experiments. Both mechanisms can be used to generate stable quasipatterns in a parametrically forced partial differential equation that shares some characteristics of the Faraday wave experiment. One mechanism, which is robust and works with single-frequency forcing, does not select a specific quasipattern: we find, for two different forcing strengths, a 12-fold quasipattern and the first known example of a spontaneously formed 14-fold quasipattern. The second mechanism, which requires more delicate tuning, can be used to select particular angles between wavevectors in the quasipattern.

Item Type: Article
Copyright, Publisher and Additional Information: © 2007 by The American Physical Society. This is an author produced version of a paper published in Physical Review E. Uploaded in accordance with the publisher's self-archiving policy.
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)
Depositing User: Sherpa Assistant
Date Deposited: 04 Sep 2007 09:24
Last Modified: 08 Jun 2014 22:57
Published Version: http://dx.doi.org/10.1103/PhysRevE.75.055203
Status: Published
Publisher: American Physical Society
Refereed: Yes
Identification Number: 10.1103/PhysRevE.75.055203
URI: http://eprints.whiterose.ac.uk/id/eprint/2660

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