AMMCS-2013 Plenary Talk

Patterns of Synchrony

Martin Golubitsky

Abstract: This talk will survey recent results on rigid phase-shift synchrony in periodic solutions of coupled systems of differential equations. The mathematical questions were motivated by previous work on quadrupedal gaits and will be interpreted in terms of a generalized model for binocular rivalry.

Martin Golubitsky is Distinguished Professor of Natural and Mathematics Sciences at the Ohio State University, where he serves as Director of the Mathematical Biosciences Institute. He works in the fields of nonlinear dynamics and bifurcation theory studying the role of symmetry in the formation of patterns in physical systems and the role of network architecture in the dynamics of coupled systems. He has co-authored four graduate texts, one undergraduate text, and two nontechnical trade books.

Dr. Golubitsky is a Fellow of the American Academy of Arts and Sciences, AAAS, and SIAM. He is also the 2001 corecipient of the Ferran Sunyer i Balaguer Prize for The Symmetry Perspective and the recipient of the 2009 Moser Lecture Prize of the SIAM Dynamical Systems Activity Group. He has been elected to the Councils SIAM, AAAS, and AMS. Dr. Golubitsky was the founding Editor-in-Chief of the SIAM Journal on Applied Dynamical Systems and has served as President of SIAM.