Quasipatterns in parametrically forced systems
摘要
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.
引用
@article{arxiv.nlin/0610063,
title = {Quasipatterns in parametrically forced systems},
author = {A. M. Rucklidge and M. Silber},
journal= {arXiv preprint arXiv:nlin/0610063},
year = {2009}
}
备注
4 pages, 3 figures, submitted to Phys. Rev. E. Full resolution version (including a movie) available on http://www.maths.leeds.ac.uk/~alastair/papers/RS_qp_pre_abs.html