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| Langford系统Hopf分岔极限环幅值控制 | |
| 引用本文： | 崔岩,刘素华,葛晓陵.Langford系统Hopf分岔极限环幅值控制[J].物理学报,2012,61(10):100202-100202. |
| 作者姓名： | 崔岩 刘素华 葛晓陵 |
| 作者单位： | 1. 华东理工大学机械与动力工程学院,上海200237／上海工程技术大学高等职业技术学院,上海200437 2. 上海工程技术大学高等职业技术学院,上海,200437 3. 华东理工大学机械与动力工程学院,上海,200237 |
| 基金项目： | 国家自然科学基金(批准号: 10672053)资助的课题. |
| 摘 要： | 系统地研究了Langford 系统Hopf分岔极限环幅值非线性反馈控制问题.根据中心流形定理和规范型降维理论, 推导含控制增益项的非线性曲率系数控制公式和幅值近似解,通过数值仿真验证并绘制极限环幅控关系曲线. 所推导的控制公式为Langford 系统极限环幅值控制提供了方便有效的控制方法. |
| 关 键 词： | 幅值控制 Langford系统 极限环 Hopf分岔 |
| 收稿时间： | 2011-08-06 |
Amplitude control of limit cycle from Hopf bifurcation in the Langford system |
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| Cui Yan,Liu Su-Hua,Ge Xiao-Ling.Amplitude control of limit cycle from Hopf bifurcation in the Langford system[J].Acta Physica Sinica,2012,61(10):100202-100202. | |
| Authors: | Cui Yan Liu Su-Hua Ge Xiao-Ling |
| Institution: | 1. School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China;2. Vocational Technical College, Shanghai University of Engineering Science, Shanghai 200437, China |
| Abstract: | The control of amplitude of limit cycle emerging from the Hopf bifurcation in Langford system under a nonlinear feedback controller is investigate in this paper. Explicit nonlinear control formulae and amplitude approximations in terms of control gains are derived by utilizing the center manifold theory and normal form reduction. Gain-amplitude curves for controlled systems are drawn and verified by numerical simulations. The formulae and expressions for the Langford system present a convenient approach to obtaining an effective analytical control in this system. |
| Keywords: | amplitude control Langford system limit cycle Hopf bifurcation |
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