超混沌Lorenz系统的脉冲控制与修正投影同步  

Impulsive Control and Modified Projective Synchronization of the Hyperchaotic Lorenz System

作　　者：魏正民[1] 罗润梓[2] 

机构地区：[1]中国人民解放军汽车管理学院数学教研室,安徽蚌埠233011 [2]南昌大学数学系,江西南昌330031

出　　处：《数学的实践与认识》2011年第19期163-172,共10页Mathematics in Practice and Theory

基　　金：江西省教育厅科技项目基金(GJJ11296)

摘　　要：考虑超混沌Lorenz系统的脉冲控制与修正投影同步，基于脉冲控制系统的稳定性理论，给出了脉冲控制与修正投影同步的充分条件，并通过数值仿真验证了所给充分条件的有效性．由定理4易知当同步因子α1，α2，α3，α4满足α1^2=1，α2=α1α2=α4时所给同步方法无需控制器，因此方法可以看做是脉冲完全同步的推广．In this paper we investigate the impulsive control and modified projective synchronization of the hyperchaotic Lorenz system. We give some sufficient conditions for the stabilization and modified projective synchronization of this system via impulsive control. Sim- ulation results are also provided to show the effectiveness of the proposed method. It is easy to see by Theorem 4 that if the scaling factors α1,α2,α3,α4 satisfied α1^2=1,α2=α1α2=α4, then systems （4） and （11） will achieve modified projective synchronization without controllers, which implies that the proposed synchronized method can be regarded as the generalization of the complete synchronization via impulsive control.

关 键 词：超混沌LORENZ系统 修正投影同步 脉冲控制 

分 类 号：O415.5[理学—理论物理]