Patterns of Desynchronization and Resynchronization
in Heteroclinic Networks

Abstract

We prove results that enable the efficient and natural realization of a large class of robust heteroclinic networks in identical coupled cell systems. We also propose some general conjectures that relate a natural and large class of robust heteroclinic networks that occur in networks modelled by equations of Lotka-Volterra type, and also some networks of symmetric systems, to robust heteroclinic networks in coupled cell networks.

e-mail: mikefield@gmail.com

Professor Mike Field
Department of Mathematics
Imperial College
London