| 超混沌Lorenz系统的电路模拟与同步 |
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| 引用本文： | 薛怀庆,彭建奎,王振乾,胡萍,张莉.超混沌Lorenz系统的电路模拟与同步[J].兰州大学学报(自然科学版),2011,47(5). |
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| 作者姓名： | 薛怀庆 彭建奎 王振乾 胡萍 张莉 |
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| 作者单位： | 1. 甘肃联合大学师范学院,兰州,730000
2. 兰州工业高等专科学校基础学科部,兰州,730050 |
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| 基金项目： | Supported by the Foundation for College Tutor's Research Project of Gansu Province(1013-05) |
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| 摘 要： | 对Lorenz系统添加一个非线性状态反馈控制器所构成的四维超混沌Lorenz系统,并运用数值模拟和理论分析的方法研究该超混沌系统丰富的动力学特性,同时运用PSPICE和MATLAB软件设计电子电路以实现超混沌系统,并且所得电路仿真结果与数值仿真结果完全一致;然后提出自适应控制器以实现超混沌同步;最后运用Lyapunov理论与数值模拟证实所设计的控制器的有效性.
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| 关 键 词： | 超混沌Lorenz系统 电路模拟 超混沌同步 自适应控制 |
A hyperchaotic Lorenz system circuit simulation and synchronization |
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| XUE Huai-qing,PENG Jian-kui,WANG Zhen-qian,HU Ping,ZHANG Li.A hyperchaotic Lorenz system circuit simulation and synchronization[J].Journal of Lanzhou University(Natural Science),2011,47(5). |
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| Authors: | XUE Huai-qing PENG Jian-kui WANG Zhen-qian HU Ping ZHANG Li |
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| Institution: | XUE Huai-qing~1,PENG Jian-kui~1,WANG Zhen-qian~1,HU Ping~1,ZHANG Li~2 1.Normal College,Gansu Lianhe University,Lanzhou 730000,China 2.Basic Courses Department,Lanzhou Polytechnical College,Lanzhou 730050,China |
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| Abstract: | A new hyperchaotic Lorenz system was constructed by introducing a nonlinear state feedback controller, and its abundant dynamic behavior was studied by using numerical simulations and theory analysis.At the same time,by means of PSPICE and MATLAB,an electronic circuit was designed to realize the hyperchaotic Lorenz system and the circuit simulations obtained were identical with the numerical simulations.Moreover, the adaptive controller was proposed to achieve hyperchaotic synchronization.It is concluded th... |
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| Keywords: | hyperchaotic Lorenz system circuit simulation hyperchaotic synchronization adaptive control |
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