Adaptive Pinning Synchronization in Complex Dynamical Networks with a Novel Adaptive Law
In this paper, we propose one adaptive pinning synchronization scheme in complex dynamical networks, whose adaptive law is simple in form. When a nonlinear vector field meets different conditions, we prove that the scheme is synchronous and that the synchronous solution is locally and globally asymptotically stabile. We analyze the process of using maximum eigenvalues of low matrix to judge pinning synchronization, and give one method to calculate the number of pinning nodes. At last, three numerical simulations are given to verify the effectiveness of the proposed scheme. The first two examples show relations between maximum eigenvalues of the principal submatriecs and the number of pinning nodes under the conditions of three pinning strategies in a scale-free network and under the conditions of the random pinning strategy in a nearest-neighbor network, respectively, and the last one shows effectiveness of the adaptive pinning synchronization by selecting pinning nodes randomly in a scale-free network.
complex network pinning synchronization adaptive law
Yi Liang Xingyuan Wang
Department of Electronics and Information Engineering, Yili Normal College Yining, China Faculty of Electronics and Electrical Engineering Dalian University of Technology Dalian, China
国际会议
南昌
英文
11-16
2012-08-26（万方平台首次上网日期，不代表论文的发表时间）