White Rose University Consortium logo
University of Leeds logo University of Sheffield logo York University logo

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

Available under licence : See the attached licence file.

Download (405Kb)


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

Actions (repository staff only: login required)