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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
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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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. |
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: | Sherpa Assistant |
Date Deposited: | 04 Sep 2007 09:24 |
Last Modified: | 27 Oct 2016 16:37 |
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 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:2660 |
Available Versions of this Item
- Quasipatterns in parametrically forced systems. (deposited 04 Sep 2007 09:24) [Currently Displayed]