ROBUST STRUCTURAL SYNCHRONIZATION IN DYNAMICAL COMPLEX NETWORKS

The aim of this paper is to study synchronization of a dynamical complex network consisting of nodes being generalized Lorenz chaotic systems and connections are created with transmitted synchronizing signals. Focus is on the robustness of the network synchronization with respect to its connectional structure. This robustness is analyzed theoretically for the case of two nodes with two-sided (bidirectional connections), and numerically for various cases with many nodes. It is shown that unless a certain minimal coherent connectional structure is present in network, the synchronization is always preserved. While for a minimal connectional configuration where the synchronization is global, the resulting synchronization is only semi-global when some redundant connections are added.