Isaac Newton Institute for Mathematical Sciences

Training Course: Pattern Formation

Pattern formation in coupled cell systems

4th August 2005

Author: M.Golubitsky (Houston)

Abstract

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 show that patterns of synchrony in planar lattice dynamical systems can be very complicated, but that they are all spatially doubly periodic if enough coupling is assumed.