Synchronzation Performance Analysis Of Complex Dynamical Networks

Scientific research on complex networks has experienced a significantly change in the end of the 20th century. Many scientists have started to consider the properties of a wide variety of large-scale real networks with complex structures, with an increasing interest on the relationship between the structural properties of a network and its dynamical behaviors.Synchronization in complex dynamical networks can well explain many natural and engineering phenomena. However, most of earlier works have been concentrated on networks with completely regular topological structures such as lattices and fully-connected graphs. Two typical cases are the discrete-time coupled map lattice (CML) and the continuous-time cellular neural (or nonlinear) network (CNN). The main benefit of these simple architectures is that it allows us to focus on the complexity caused by the nonlinear dynamics of the nodes.Recently, with the deep understanding of the structural properties of real complex networks, especially, the finding of the small-world and scale-free properties, more and more attention has been focused on the effects of network structure on network dynamical behavior, including synchronization behavior.Research on synchronization phenomena in networks with complex topologies has become an important topic in the area of complex network research. The main objective of this dissertation is to investigate the synchronizabilities of a class of continuous-time linearly coupled dynamical network models with different topologies. Network model with high synchronizability is constructed through designing efficient control mechanisms. The effects of topological properties on...