Abstract
We examine two mechanisms that have been put forward to explain the selection of quasipatterns in single- and multifrequency 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, 12-fold and 14-fold quasipatterns. The second mechanism, which requires more delicate tuning, can be used to select particular angles between wavevectors in the quasipattern.
| Original language | English (US) |
|---|---|
| Article number | 055203 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 75 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 4 2007 |
ASJC Scopus subject areas
- General Physics and Astronomy
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Mathematical Physics