| 一个具有四翼混沌吸引子的新系统及其参数辨识 |
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| 引用本文： | 褚衍东,湛宁,安新磊,俞建宁,张建刚.一个具有四翼混沌吸引子的新系统及其参数辨识[J].兰州大学学报(自然科学版),2012,48(2):136-140. |
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| 作者姓名： | 褚衍东 湛宁 安新磊 俞建宁 张建刚 |
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| 作者单位： | 1. 兰州交通大学数理与软件工程学院,兰州,730070
2. 信阳职业技术学院数学与计算机科学学院,河南信阳,464000 |
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| 基金项目： | 国家自然科学基金项目(11161027);甘肃省自然科学基金项目(1010RJZA066,1010RJZA067) |
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| 摘 要： | 研究了一个新的复杂的四维混沌系统,该系统每个方程中包含一个三次乘积项,有9个平衡点,它们相对于原点和坐标轴具有完美的对称性,并且相对于线性特性有很好的相似性.基于稳定性理论,通过选取正确的初始值和合适的观测器,迅速、精确地辨识该系统的未知参数.此方法可以推广应用于一类连续动力系统.数值仿真证明了该方法的正确性和有效性.
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| 关 键 词： | 四翼吸引子 参数辨识 观测器 平衡点 |
A new four-wing chaotic system and its parameter identification |
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| CHU Yan-dong
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ZHAN Ning
,
AN Xin-lei
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YU Jian-ning
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ZHANG Jian-gang.A new four-wing chaotic system and its parameter identification[J].Journal of Lanzhou University(Natural Science),2012,48(2):136-140. |
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| Authors: | CHU Yan-dong ZHAN Ning AN Xin-lei YU Jian-ning ZHANG Jian-gang |
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| Institution: | 1.School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University, Lanzhou 730070,China 2.School of Mathematics and Computer Science,Xinyang Vocational and Technical College, Xinyang 464000,Henan,China |
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| Abstract: | A new four-dimensional continuous autonomous chaotic system was introduced,in which each equation in the system contains a 3-term cross product.Some basic dynamical behaviors and a complex structure of the new system were theoretically investigated.At the same time,based on the stability theory,an accurate and fast identification was made by selecting right initial values and suitable observers were given to identify any uncertain parameters of this new four-dimensional continuous autonomous chaotic system.In addition,this method could be applied to a class of nonlinear chaotic and hyperchaotic flows.Numerical simulations were also given to demonstrate the effectiveness of the proposed general scheme for parameter identification. |
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| Keywords: | four-wing chaotic attractor parameter identification observer equilibrium point |
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