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Quasipatterns in parametrically forced systems

A. M. Rucklidge·M. Silber
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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.

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A. M. Rucklidge, M. Silber. 2006-10-26. Quasipatterns in parametrically forced systems. https://doi.org/10.1103/physreve.75.055203

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