An Isaac Newton Institute Workshop

Theory and Applications of Coupled Cell Networks

Dynamics in Coupled Identical Cell Systems

Author: Marty Golubitsky (U. of Houston)

Abstract

This lecture will focus on some of the interesting dynamics and bifurcations that can occur generically in two and three identical cell systems. Topics will include the types of high codimension Hopf bifurcations that are forced by network architecture in three-cell systems and some curious types of bursting that can occur in two-cell systems.