【作者】 李芳； 胡爱花； 徐振源；

【Author】 Li fang, Hu Aihua, Xu Zhenyuan (Southern Yangtze University,School of Communication & Control Engineering, Wuxi,214036)

【机构】 江南大学通信与控制工程学院；

【摘要】 本文利用Lorenz吸引子的存在性和挤压性质,对全同Lorenz系统的单调同步化问题,通过严密的理论推导给出了单调同步的充分条件,并讨论了13个Lorenz方程分别在星形双向耦合、环形网络、小世界网络、全连接网络连接下单调同步的充分条件及其性能优劣。数值仿真结果进一步证实结论。更多还原

【Abstract】 The monotonous synchronization of identical Lorenz systems in complex networks is studied,using Lorenz system’s attractor and its constrictive propertity. The sufficient conditions are proposed with the help of theoretical analysis, and are contrasted when thirteen identical Lorenz systems are connected in the form of star networking network, small-world network and completely connected network,respectively. The results show small-world network not only has the virtue of simple and good structure but also is easy to synchronize. The extensive numerical simulation confirms our conclusion.更多还原