Cost and effect of pinning control for network synchronization
Li Rong(李嵘)† , Duan Zhi-Sheng(段志生), and Chen Guan-Rong(陈关荣)
State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China
Abstract The problem of pinning control for the synchronization of complex dynamical networks is discussed in this paper. A cost function of the controlled network is defined by the feedback gain and the coupling strength of the network. An interesting result is that a lower cost is achieved by using the control scheme of pinning nodes with smaller degrees. Some strict mathematical analyses are presented for achieving a lower cost in the synchronization of different star-shaped networks. Numerical simulations on some non-regular complex networks generated by the Barabási--Albert model and various star-shaped networks are performed for verification and illustration.
Received: 05 July 2008
Revised: 04 September 2008
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of
China (Grant No 60674093) and the Foundation for Key Program of
Ministry of Education, China (Grant No 107110).
Cite this article:
Li Rong(李嵘), Duan Zhi-Sheng(段志生), and Chen Guan-Rong(陈关荣) Cost and effect of pinning control for network synchronization 2009 Chin. Phys. B 18 106
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
