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Applied Math Colloquium

Friday, February 15, 2013, 11:30 AM
Cullimore Lecture Hall, Lecture Hall II
New Jersey Institute of Technology

Patterns of Phase-Shift Synchrony

Marty Golubitsky

Mathematical Biosciences Institute, Ohio State University

Abstract

A coupled cell system is a network of interacting dynamical systems. Coupled cell models assume that the output from each cell is important and that signals from two or more cells can be compared so that patterns of synchrony can emerge. This talk will discuss a result (motivated by quadruped locomotion) that classifies rigid patterns of phase-shift synchrony in time-periodic solutions of coupled cell systems and a recent application to binocular rivalry.