Dynamic coupling enhances network synchronization

Abstract

In the study of network synchronization it is common to consider that the nodes in the network interact through static and diffusive couplings. However, this type of couplings has a limitation: for certain systems and certain network topologies, the maximum number of nodes that can be synchronized is relatively small. This paper presents a potential solution for relaxing the aforementioned limitation. In particular, it is demonstrated that if the static couplings in the network are replaced by dynamic interconnections then the number of nodes that can be synchronized is increased. As particular example, a star network of Hindmarsh-Rose neurons is considered. The stability of the synchronous solution in the network is investigated by using the Master Stability Function approach in combination with the largest transverse Lyapunov exponents. Ultimately, the obtained results are experimentally validated in a network of electronic Hindmarsh-Rose neurons.