Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (33): 226-228.

• 工程与应用 • Previous Articles     Next Articles

Globally exponentially attractive set of disk dynamo system and its application

YUAN Hong1,ZHANG Fuchen2   

  1. 1.School of Science of Linyi University,Linyi,Shandong 276005,China
    2.School of Mathematics and Statistics,Chongqing University,Chongqing 401331,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2011-11-21 Published:2011-11-21

发电机系统的全局指数吸引集及其应用

袁 红1,张付臣2   

  1. 1.临沂大学 理学院,山东 临沂 276005
    2.重庆大学 数学与统计学院,重庆 401331

Abstract: The globally exponentially attractive sets of a disk dynamo system are investigated via constructing a Lyapunov function and by definition and optimization theorem.For this system,a four-dimensional ellipsoidal globally exponentially attractive set is derived.The result is applied to the chaos synchronization.Numerical simulations are presented to show the effectiveness of the proposed scheme.

Key words: globally exponentially attractive set, disk dynamo system, numerical simulations

摘要: 通过定义和一个构造性引理并且借助一个适当的Lyapunov函数和最优化理论,研究了一个发电机混沌系统的全局指数吸引集得到了四维椭球估计。将所得到的结果应用到混沌同步之中去,数值模拟验证了同步理论的可行性。

关键词: 全局指数吸引集, 发电机系统, 数值仿真