Nonlinear integral synchronization of ring networks
Nonlinear integral synchronization of ring networks
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DOI：
10.1016/j.camwa.2007.04.037
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发表时间：
2008-02
期刊：
影响因子：
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通讯作者：
Xiu-ping Han;Jun-an Lu;Guanrong Chen
中科院分区：
文献类型：
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作者：
Xiu-ping Han;Jun-an Lu;Guanrong Chen
如果网络的节点数量N太大，则通常难以同步以单个最近邻耦合为特征的环形网络。在本文中，我们考虑一个环形网络的N个相同的节点，这是单向耦合通过每个节点的第一个状态变量。本文提出了一种新的非线性积分方法来实现这类网络的同步，并给出了这类网络与混沌节点同步的一个充分条件。即使反馈增益很小，整个环形网络也将通过仅添加一个非线性积分反馈来同步。作为例子，我们研究了具有Lorenz系统节点和Chua系统节点的网络的同步。我们的数值模拟证实了新方法的有效性。
It is generally difficult to synchronize a ring network that features single nearest-neighbor coupling, if the number N of nodes of the network is too large. In this paper, we consider a ring network of N identical nodes, which are unidirectionally coupled through the first state variable of each node. We present a new nonlinear integral method for synchronization of such a network, and derive a sufficient condition for synchronization of this type of network with chaotic nodes. The entire ring network will synchronize by adding only one nonlinear integral feedback, even if the feedback gain is very small. As examples, we study the synchronization of such a network with Lorenz system nodes and Chua’s system nodes. Our numerical simulations confirm the effectiveness of the new method.