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AMCS/GRASP Seminar: Marty Golubitsky, Ohio State University, “Patterns of Synchrony: From Animal Gaits to Binocular Rivalry”

March 28, 2014 @ 2:00 pm - 3:00 pm

Abstract: This talk will discuss previous work on quadrupedal gaits and recent work on a generalized model for binocular rivalry proposed by Hugh Wilson. Both applications show how rigid phase-shift synchrony in periodic solutions of coupled systems of differential equations can help understand high level collective behavior in the nervous system.  For gaits the symmetries predict unexpected gaits and for binocular rivalry the symmetries predict unexpected percepts.


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Martin Golubitsky is Distinguished Professor of Natural and Mathematical
Sciences at the Ohio State University, where he serves as Director of the
Mathematical Biosciences Institute. He received his PhD in Mathematics
from M.I.T. in 1970 and has been Professor of Mathematics at Arizona State
University (1979-83) and Cullen Distinguished Professor of Mathematics at
the University of Houston (1983-2008). Dr. Golubitsky works in the fields of nonlinear dynamics and bifurcation

theory studying the role of symmetry in the formation of patterns in
systems and the role of network architecture in the dynamics of coupled
His recent research focuses on some mathematical aspects of biological
applications: animal gaits, the visual cortex, the auditory system, and
coupled systems. Dr. Golubitsky is a Fellow of the American Academy of Arts and Sciences,
the American Association for the Advancement of Science (AAAS), the
American Mathematical Society (AMS), and the Society for Industrial and
Applied Mathematics (SIAM). He is also the 1997 recipient of the
University of Houston Esther Farfel Award, 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. Dr. Golubitsky was the founding Editor-in-Chief of the SIAM Journal on Applied Dynamical Systems and has served as President of SIAM (2005-06).


March 28, 2014
2:00 pm - 3:00 pm
Event Category: