Adaptive synchronization in nonlinearly coupled dynamical networks
Adaptive synchronization in nonlinearly coupled dynamical networks
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DOI：
10.1016/j.chaos.2007.07.067
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发表时间：
2008-12
影响因子：
7.8
通讯作者：
Guangming He;Jingyu Yang
中科院分区：
文献类型：
--
作者：
Guangming He;Jingyu Yang
最近的研究表明，许多大规模的复杂动力网络呈现出集体同步运动。本文研究了非线性耦合动态网络的同步问题。利用微分方程组的不变性原理，构造了一些简单的具有动态更新强度的线性反馈控制器，使动态网络与孤立节点同步。反馈强度可以自动增强，使动态网络集体同步。网络结构可以是随机的、规则的、小世界的或无标度的。以著名的Lorenz系统为网络节点，给出了一个数值算例，验证了该方法的有效性。
Recently, it has been demonstrated that many large-scale complex dynamical networks display a collective synchronization motion. In this paper, synchronization in nonlinearly coupled dynamical networks is studied. By using the invariance principle of differential equations, some simple linear feedback controllers with dynamical updated strengths are constructed to make the dynamical network synchronize with an isolate node. The feedback strength can be automatically enhanced to make the dynamical network collectively synchronized. The structure of the network can be random, regular, small-world, or scale-free. A numerical example is given to demonstrate the validity of the proposed method, in which the famous Lorenz system is chosen as the node of the network.