UAH

Symmetry-Breaking; Synchrony Breaking

Dr. Karen A. Ames Lecture Series on Applied Mathematics

Dr. Marty Golubitsky

Department of Mathematics
Mathematical Biosciences Institute
The Ohio State University


3:00 Friday, 12 February 2010

109 Shelby Center
Refreshments at 2:30

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. We ask: which part of the qualitative dynamics observed in coupled cells is the product of network architecture and which part depends on the specific equations?

In our theory, local network symmetries replace symmetry as a way of organizing network dynamics, and synchrony-breaking replaces symmetry-breaking as a basic way in which transitions to complicated dynamics occur. Background on symmetry-breaking and pattern formation will be presented.

colloq GolubitskyBiographical Sketch

Dr. Marty Golubitsky is Distinguished Professor of Mathematics and Physical Sciences and Director of the Mathematical Biosciences Institute at The Ohio State University. He works in the field of nonlinear dynamics studying the role of symmetry in the formation of patterns in physical and biological systems. He has co-authored four graduate texts, one undergraduate text, two nontechnical trade books, and over many research papers. Dr. Golubitsky received his PhD in Mathematics from MIT and has held positions at UCLA, MIT, Queens College CUNY, Arizona State University, and for 25 years was Cullen Distinguished Professor of Mathematics at the University of Houston.

Dr. Golubitsky is a Fellow of the American Academy of Arts and Sciences, the American Association for the Advancement of Science (AAAS), and SIAM. He has received the University of Houston Esther Farfel Award, the 2001 Ferran Sunyer i Balaguer Prize for "The Symmetry Perspective" and the 2009 Jurgen Moser Lecture Prize. He has been elected to the Councils of SIAM, AAAS, and AMS. Dr. Golubitsky was the founding Editor-in-Chief of the "SIAM Journal on Applied Dynamical Systems" and was SIAM President in 2005-06.