Control for a synchronization-desynchronization switch

Zhiwei He, Xingang Wang, Guo-Yong Zhang, and Meng Zhan

Phys. Rev. E 90, 012909 – Published 28 July 2014

Abstract

How to freely enhance or suppress synchronization of networked dynamical systems is of great importance in many disciplines. A unified precise control method for a synchronization-desynchronization switch, called the pull-push control method, is suggested. Namely, synchronization can be achieved when the original systems are desynchronous by pulling (or protecting) one node or a certain subset of nodes, whereas desynchronization can be accomplished when the systems are already synchronous by pushing (or kicking) one node or a certain subset of nodes. With this method, the controlled nodes should be chosen by the generalized eigenvector centrality of the critical synchronization mode of the Laplacian matrix. Compared with existing control methods for synchronization, it displays high efficiency, flexibility, and precision as well.

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Received 8 April 2014
Revised 6 July 2014

DOI:https://doi.org/10.1103/PhysRevE.90.012909

Authors & Affiliations

Zhiwei He^1,2, Xingang Wang³, Guo-Yong Zhang^1,4, and Meng Zhan^1,*

¹Wuhan Center for Magnetic Resonance, State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
²University of the Chinese Academy of Sciences, Beijing 100049, China
³School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China
⁴College of Computer Science and Technology, Hubei Normal University, Huangshi 435002, China

^*Author to whom all correspondence should be addressed: zhanmeng@wipm.ac.cn

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Vol. 90, Iss. 1 — July 2014

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics