Title:
Coupled Cell Systems: Theory and Examples
Speaker:
Martin Golubitsky, Department of Mathematics, University of Houston
Subject:
Quantitative Mathematical Modeling of Gene Regulatory Networks
Area:
Medicine
Type of school:
university
School name:
ohio state university
Country:
United States
Course language:
English
Course media:
Video
Course duration:
Contributor:
pbp
Comments:
Author: Martin Golubitsky, Department of Mathematics, University of Houston
Title: Coupled Cell Systems: Theory and Examples
Presentation Materials: PDF
Streaming Video: Real Media
A coupled cell system is a collection 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: How much of the qualitative dynamics observed in coupled systems is the product of network architecture and how much depends on the specific equations?
We will discuss necessary and sufficient conditions for (robust) synchrony
and some surprising aspects of synchrony-breaking bifurcations.
pbp