非线性耦合完全网络的时空混沌同步

利用N个Fitzhugh-Nagumo模型作为网络节点，通过非线性耦合构成完全网络，研究了这种网络的时空混沌同步问题.首先给出了复杂网络中连接节点之间的非线性耦合函数的一般性选取原则.进一步基于Lyapunov稳定性定理，理论分析了实现网络同步的条件以及控制增益的取值范围.最后，通过仿真模拟检验了以Fitzhugh-Nagumo模型作为网络节点所构成的完全网络的时空混沌同步效果.仿真结果表明，这种完全网络不但同步快速有效，而且网络规模的大小对网络同步稳定性的影响不敏感.关键词：同步复杂网络时空混沌非线性耦合

The synchronization of spatiotemporal chaos of all-to-all network using nonlinear coupling

N Fitzhugh-Nagumo models are used as network nodes, and synchronization of spatiotemporal chaos is studied using a all-to-all network constructed through a nonlinear coupling. The general principle of selecting coupling functions between nodes of the complex network is introduced. The theoretical analysis of the conditions for synchronization is made and the range of the feedback gain is obtained based on Lyapunov stability theory. The simulation is made to test the synchronization effect of the spatiotemporal chaos of the all-to-all network whose nodes are Fitzhugh-Nagumo models. The results show that the synchronization is fast and efficient, and the size of the network size has no sensitive effect on the stability of the network synchronization.