"Scars" in parametrically excited surface waves

Details "Scars" in parametrically excited surface waves "Scars" in parametrically excited surface waves

2000-04-12

arxiv.org/abs/cond-mat/0004190v1

Physica A 302 (2001) 310-317

Physics

Condensed Matter

4 pages, figures included

Scientific paper

10.1016/S0378-4371(01)00453-8

We consider the Faraday surface waves of a fluid in a container with a non-integrable boundary shape. We show that, at sufficiently low frequencies, the wave patterns are ``scars'' selected by the instability of the corresponding periodic orbits, the dissipation at the container side walls, and interaction effects which reflect the nonlinear nature of the Faraday waves. The results explain the observation of a limited number of scars with anomalous strengths in recent experiments by Kudrolli, Abraham and Gollub.

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