Hierarchical synchronization in complex dynamical networks with multipartite graph structure

Guangming Deng

Abstract

This paper investigates the coupling schemes and corresponding criteria for hierarchical synchronization in multipartite graph networks consisting of multi-layers non-identical chaotic oscillators. The global asymptotically stable criteria for linearly or adaptively coupled networks are derived respectively to guarantee each layer of oscillators synchronize to the same behavior. The numerical simulations show that one can selectively implement certain layer synchrony while other layers not by means of taking part of adaptive coupling or increasing the corresponding linearly coupling strength.