An intriguing hybrid synchronization phenomenon of two coupled complex networks

作者：Sun, Wen^*; Chen, Zhong; Lue, Yibing; Chen, Shihua

来源：Applied Mathematics and Computation, 2010, 216(8): 2301-2309.

DOI：10.1016/j.amc.2010.03.066

• Complex network
• The hybrid synchronization
• The linear feedback
• The adaptive feedback

This paper investigates the hybrid synchronization problem of two coupled complex networks. Employing the linear feedback and the adaptive feedback control methods which are simple, efficient, and easy to implement in practical applications, we obtain some useful criteria of the hybrid synchronization of two coupled networks based on the Lyapunov stability theory and Lasalle's invariance principle. It shows that under suitable conditions, two coupled complex networks can realize an intriguing hybrid synchronization: the outer anti-synchronization between the driving network and the response network, and the inner complete synchronization in the driving network and the response network, respectively. Numerical simulations demonstrate the effectiveness of the proposed hybrid synchronization scheme.

• 出版日期2010-6-15
• 单位长江大学; 武汉大学