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


Secondary instability and spatiotemporal chaos


As the driving acceleration is increased, spatiotemporal chaos (STC) develops. The evolution of STC depends on the nature of the primary patterns. For hexagons and squares, STC develops uniformly across the container. On the other hand, for striped patterns, a fraction of the container shows STC in a localized domain that grows as the driving acceleration is increased. An example of such a "mixed state" is shown below. If the acceleration is suddenly increased from below the onset of the surface waves, STC first develops in the center of the container (dark region), and then slowly moves to the side. One observes that the STC domain always develops in the high curvature region of the stripe pattern.

Mixed state: spatiotemporal chaos coexists with stripes

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Last modified on 11/19/96.