Network synchronization of groups

TL;DR

This paper investigates how groups of nodes in complex networks synchronize their motions, focusing on bipartite and more general topologies, for both continuous and discrete systems.

Contribution

It analyzes group synchronization in networks with bipartite and general topologies, extending understanding of synchronized dynamics in complex systems.

Findings

Group synchronization is possible in bipartite networks.

Synchronization can occur in networks with intra-group connections.

Both continuous and discrete systems exhibit similar synchronization behaviors.

Abstract

In this paper we study synchronized motions in complex networks in which there are distinct groups of nodes where the dynamical systems on each node within a group are the same but are different for nodes in different groups. Both continuous time and discrete time systems are considered. We initially focus on the case where two groups are present and the network has bipartite topology (i.e., links exist between nodes in different groups but not between nodes in the same group). We also show that group synchronous motions are compatible with more general network topologies, where there are also connections within the groups.