EVENT DETAILS AND ABSTRACT

Title: Pattern formation with period doubling: Patterns in a vibrated sandbox
Speaker: Dr. Shankar Venkataramani
Speaker Info: U. Chicago
Brief Description:
Special Note: Coffee and cookies FOLLOWING the seminar
Abstract:

This talk examines the consequences of interaction between temporal period doubling and spatial pattern formation. We propose a simple discrete time spatially continuous model where the discrete time dynamics incorporates period doubling and the spatial operator imposes patterning at a preferred length scale. We find that this model displays a variety of bifurcations between different spatio-temporal states and these bifurcations are generic in that they do not depend on the details of the model. The results from our simple model bear remarkable similarities with the extended patterns (squares, stripes etc.) and localized patterns (oscillons, fronts) etc. seen in recent experiments on a vertically vibrated granular layer.