SYNCHRONIZATION OF COMPLEX-VARIABLE DYNAMICAL NETWORKS WITH COMPLEX COUPLING

Zhaoyan Wu () and Xinchu Fu ()
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Zhaoyan Wu: College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi Province, 330022, P. R. China
Xinchu Fu: Department of Mathematics, Shanghai University, Shanghai, 200444, P. R. China

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 02, 1-13

Abstract: In this paper, synchronization of complex-variable dynamical networks with complex coupling is investigated. An adaptive feedback control scheme is adopted to design controllers for achieving synchronization of a general network with both complex inner and outer couplings. For a network with only complex inner or outer coupling, pinning control and adaptive coupling strength methods are adopted to achieve synchronization under some assumptions. Several synchronization criteria are derived based on Lyapunov stability theory. Numerical simulations are provided to verify the effectiveness of the theoretical results.

Keywords: Synchronization; complex-variable; dynamical network; complex coupling; 05.45.Xt; 02.30.Fn; 05.45.-a (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0129183113500071

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