中文摘要：

利用非对称非线性函数耦合混沌同步方法,讨论了Chen吸引子的混沌同步问题,数值模拟分析初始值和耦合强度因子的选择对于实现混沌同步的影响.将非对称非线性函数耦合同步方法进一步推广发展到完全连接网络和由星形子网络构成的复杂大网络混沌同步的研究中.提供了确定网络中神经元之间混沌同步状态稳定性的误差发展方程,并讨论各个耦合强度因子对网络同步稳定性过程的影响,给出了相应的稳定性范围.通过数值模拟证明利用非线性函数作为耦合函数,实现完全连接网络、星形子网络构成大网络的混沌同步是有效的.可以预测在网络的混沌同步中非对称非线性耦合方法也有很好的发展前景.

英文摘要：

This article offers a method to realize the synchronization of non-symmetrically nonlinear-coupled chaotic systems,studies the chaotic synchronization of Chen＇s chaotic attractors,and analyzes the influence of chaotic synchronization by numerical simulation under different coupling strengths and different initial conditions.We also extend the synchronization method of non-symmetrically nonlinear-coupled systems to the study of large network linked by numerous Chen＇s attractor system units by all-to-all-coupling and star coupling.We deduced the equation of errors which ensures the stability of synchronous state,studied the influence of different coupling strengths on synchronization stability and determined the range of coupling strengths which ensures the synchronization.By numerical simulation we proved that if we choose nonlinear functions as coupling functions,it effectively realizes the synchronization of all-to-all-coupling network and large network linked from star sub-networks.We can foresee that the non-symmetrically nonlinear-coupled synchronization method could be widely used in network synchronization.