Graduate Seminar

Scheduled Talk - February 15, 2012 - [ 12:00PM in DH 1064 ]

Yunjiao Wang

"Dynamics and Reduction of a Generalized Rivalry Network"

Abstract:
Binocular rivalry is a visual phenomenon that occurs when two dissimilar images are presented to different eyes simultaneously. This phenomenon has been used for understanding functions of brain. Several mathematical models were developed to investigate how the illumination of images influence rivalry results. Recently, Hugh Wilson proposed a generalized rivalry network, which has the potential applications both in perceptional rivalry and decision-making. In this work, we show that the model of size MN can be reduced to a network of size 2 or 3 and most dynamics of the reduced model is organized by a symmetry-breaking Takens-Bogdanov bifurcation.

This is a joint work with Marty Golubitsky, Casey Diekmann, Tyler McMillen.