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



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.