Novel Patterns and Chaotic Dynamics of Surface Waves


Collaborators: Jerry Gollub, Arshad Kudrolli, Mathew Abraham

Former collaborators: T. Besson, B. Pier, S. Edwards


Topics:

Onset patterns

Secondary instabilities

Two frequency forcing

Stadium modes


Two frequency forcing


The form of the forcing waveform does not have to be sinusoidal. It may be any periodic waveform. When two frequencies are mixed, a richer set of patterns are observed. Quasi-crystalline patterns are obtained when the forcing frequencies are such that one component is an even multiple and the other an odd multiple of a base frequency. These patterns have twelvefold orientational order, but only quasiperiodic translational order. Patterns containing a hexagonal superlattice are also obtained by changing the proportion of one component with respect to the other. These experiments were initiated by Benoit Pier and Stuart Edwards, and have been continued recently by Arshad Kudrolli and Mathew Abraham.

Example of a quasipattern

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Example of a hexagonal superlattice

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Recent publications

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Last modified on 11/19/96.