Adaptive Synchronization of Complex Dynamical Multilinks Networks with Similar Nodes
Adaptive Synchronization of Complex Dynamical Multilinks Networks with Similar Nodes
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DOI：
10.1155/2013/736585
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发表时间：
2013-06
影响因子：
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通讯作者：
Weiping Wang;Lixiang Li;Haipeng Peng;Jialiang Yuan;Jinghua Xiao;Yixian Yang
中科院分区：
文献类型：
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作者：
Weiping Wang;Lixiang Li;Haipeng Peng;Jialiang Yuan;Jinghua Xiao;Yixian Yang
本文研究了具有相似节点的多链路复杂动态网络的同步问题。由于参数的不同或扰动的存在，网络中所有节点的动力学不可能完全相同。具有相似节点的网络在真实的世界中是普遍存在的。为了刻画相似节点之间的相似性，我们定义了
网络中的节点的最小相似性。我们找到了网络中节点的最小相似度的阈值。如果节点的最小相似度大于阈值，则相似节点无需控制器即可实现同步。另外，采用自适应同步方法对网络中相似节点进行同步。基于李雅普诺夫稳定性理论，提出了一些新的同步判据。最后，通过数值仿真验证了理论结果的可行性和有效性.
This paper studies the synchronization of complex dynamical networks with multilinks and similar nodes. The dynamics of all the nodes in the networks are impossible to be completely identical due to the differences of parameters or the existence of perturbations. Networks with similar nodes are universal in the real world. In order to depict the similarity of the similar nodes, we give the definition of the
minimal similarity of the nodes in the network for the first time. We find the threshold of the minimal similarity of the nodes in the network. If the minimal similarity of the nodes is bigger than the threshold, then the similar nodes can achieve synchronization without controllers. Otherwise, adaptive synchronization method is adopted to synchronize similar nodes in the network. Some new synchronization criteria are proposed based on the Lyapunov stability theory. Finally, numerical simulations are given to illustrate the feasibility and the effectiveness of the proposed theoretical results.