| 非线性映射参数辨识的离散变分方法 |
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| 引用本文： | 曹小群,张卫民,宋君强,朱小谦,赵军. 非线性映射参数辨识的离散变分方法[J]. 物理学报, 2012, 61(2): 20507-020507 |
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| 作者姓名： | 曹小群 张卫民 宋君强 朱小谦 赵军 |
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| 作者单位： | 国防科学技术大学计算机学院, 长沙 410073;国防科学技术大学计算机学院, 长沙 410073;国防科学技术大学计算机学院, 长沙 410073;国防科学技术大学计算机学院, 长沙 410073;国防科学技术大学计算机学院, 长沙 410073 |
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| 基金项目： | 国家自然科学基金(批准号: 41105063, 61070041)资助的课题. |
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| 摘 要： | 提出一种辨识非线性映射系统中未知参数的离散变分方法, 对以xk+1 = F(xk,θ)为状态控制方程的所有映射混沌系统具有通用性. 对典型的Logistic映射和Henón映射中的未知参数进行了估计, 仿真结果表明了该方法的有效性.
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| 关 键 词： | 映射 参数辨识 离散变分方法 伴随方程 |
| 收稿时间： | 2012-02-27 |
| 修稿时间： | 2011-05-03 |
Parameter identification of map chaotic system with discrete variational method |
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| Cao Xiao-Qun,Zhang Wei-Min,Song Jun-Qiang,Zhu Xiao-Qian and Zhao Jun. Parameter identification of map chaotic system with discrete variational method[J]. Acta Physica Sinica, 2012, 61(2): 20507-020507 |
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| Authors: | Cao Xiao-Qun Zhang Wei-Min Song Jun-Qiang Zhu Xiao-Qian Zhao Jun |
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| Affiliation: | School of Computer Science, National University of Defense Technology, Changsha 410073, China;School of Computer Science, National University of Defense Technology, Changsha 410073, China;School of Computer Science, National University of Defense Technology, Changsha 410073, China;School of Computer Science, National University of Defense Technology, Changsha 410073, China;School of Computer Science, National University of Defense Technology, Changsha 410073, China |
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| Abstract: | In this paper a method is proposed to estimate the unknown parameters of nonlinear map based on the discrete variational principle, which can be applied to all map chaotic systems governed by the following equation:xk+1 = F（xk,θ）.Numerical simulations on the well-known Logistic map and Henon map are conducted and all unknown parameters of the two discrete chaotic systems are identified respectively.Simulation results show that the discrete variational method is effective for parameter identification of the map chaotic system. |
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| Keywords: | chaotic system parameter identification discrete variational method adjoint equation |
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