Synchronization optimization under symmetry network

Shaohua Tao, Meilian Li, Zhili Zhang

School of Information Engineering, Xuchang University, Xuchang City, 461000,PR.China

Rich symmetries have been found in many real networks, which is an extensive structural of networks. We study the relationships between synchronization and symmetry of network. One of fascinating problems related to symmetry network is how to optimization phase synchronization by employing symmetric structure. For this purpose, we optimize the network structure by symmetry properties of network, which is statistics the orbits of network. Nodes in the same orbit have similar properties, and then we reduce the network size by nodes in same orbit. We simulate the BA and SW model. The simulations result show that symmetry structure can optimize the network topology and can enhance phase synchronization of network.