文献类型：期刊文献

英文题名：Perturbation analysis and comparison of network synchronization methods

作者：He, Zhiwei[1];Yao, Chenggui[1];Yu, Jun[2];Zhan, Meng[3]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China;[2]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[3]Huazhong Univ Sci & Technol, Sch Elect & Elect Engn, State Key Lab Adv Electromagnet Engn & Technol, Wuhan 430074, Hubei, Peoples R China

年份：2019

卷号：99

期号：5

外文期刊名：PHYSICAL REVIEW E

收录：SCI-EXPANDED(收录号：WOS:000467737500006)、、EI(收录号：20192106957205)、Scopus(收录号：2-s2.0-85065866088)、WOS

基金：This study was partially supported by the National Natural Science Foundation of China under Grants No. 11705116 and No. 11675112, and the International (Regional) Cooperation and Exchange Program of the National Natural Science Foundation of China (Research on Inter-organizational Cooperation: NSFC-DFG) under Grant No. 11861131011. We would also like to thank the two referees for their incisive comments and from whom we have greatly benefited.

语种：英文

外文关键词：Eigenvalues and eigenfunctions - Synchronization

外文摘要：In many networked systems, synchronization is important and useful, and how to enhance synchronizability is an interesting problem. Based on the matrix perturbation theory, we analyze five methods of network synchronization enhancement, including the link removal, node removal, dividing hub node, pull control, and pinning control methods, and obtain explicit expressions for eigenvalue changes. By these comparisons, we find that, among all these methods, the pull control method is remarkable, as it can extend the synchronization (coupling strength) region from both the left and right sides, for any controlled node. Extensive simulation results are given to support the accuracy of the perturbation-based analysis.