| 超混沌Lorenz系统的脉冲控制与修正投影同步 |
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| 引用本文： | 魏正民,罗润梓.超混沌Lorenz系统的脉冲控制与修正投影同步[J].数学的实践与认识,2011,41(19). |
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| 作者姓名： | 魏正民 罗润梓 |
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| 作者单位： | 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 |
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| 基金项目： | 江西省教育厅科技项目基金(GJJ11296) |
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| 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α_1,α_2,α_3,α_4满足α_1~2=1,α_2=α_1α_3=α_4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.
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| 关 键 词： | 超混沌Lorenz系统 修正投影同步 脉冲控制 |
Impulsive Control and Modified Projective Synchronization of the Hyperchaotic Lorenz System |
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| WEI Zheng-min,LUO Run-zi.Impulsive Control and Modified Projective Synchronization of the Hyperchaotic Lorenz System[J].Mathematics in Practice and Theory,2011,41(19). |
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| Authors: | WEI Zheng-min LUO Run-zi |
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| Institution: | WEI Zheng-min,LUO Run-zi (1.Mathmatics Teaching and Reaserching Office,Institute of Automobile Management,PLA,Bengbu 233011,China) (2.Department of Mathematics,Nanchang University,Nanchang 330031,China) |
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| Abstract: | 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.Simulation results are also provided to show the effectiveness of the proposed method.It is easy to see by Theorem 4 that if the scaling factorsα_1,α_2,α_3,α_4 satisfiedα_1~2=1,α_2=α_1α_3=α_4, 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. |
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| Keywords: | hyperchaotic lorenz system modified projective synchronization impulsive control |
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