Synchronization Of Complex-Variable Dynamical Networks With Complex Coupling

Synchronization Of Complex-Variable Dynamical Networks With Complex Coupling
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DOI:
10.1142/s0129183113500071
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发表时间:
2013-03
影响因子:
1.9
通讯作者:
Zhaoyan Wu;Xinchu Fu
Zhaoyan Wu;Xinchu Fu
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Zhaoyan Wu;Xinchu Fu

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本文研究了具有复耦合的复变量动态网络的同步问题。采用自适应反馈控制方案设计控制器,以实现具有复杂内外耦合的一般网络的同步。对于只具有复杂内外耦合的网络,在一定的假设条件下,采用钉扎控制和自适应耦合强度方法来实现同步。基于Lyapunov稳定性理论,给出了几个同步判据。数值模拟结果验证了理论结果的有效性。
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.