Burst Synchronization of Coupled Oscillators : Towards Understanding the Influence of the Network Topology

5 pagesInternational audienceThis paper addresses the question of burst synchronization in networks of chemically coupled Hindmarsh-Rose neurons. After a brief description of the model and of an algorithm of numerical detection of burst synchronization, we present numerical experiments designed to give an insight on the influence of the network topology on the minimal coupling strength needed to obtain burst synchronization in the network. Two topological characteristics are studied: the network diameter and the in-degrees of the nodes. Our numerical simulations show that when the diameter grows, the network becomes more difficult to synchronize, while networks with bigger in-degrees of the nodes synchronize more easily