| Langford系统Hopf分叉的线性反馈控制 |
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| 引用本文： | 刘素华,唐驾时.Langford系统Hopf分叉的线性反馈控制[J].物理学报,2007,56(6):3145-3151. |
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| 作者姓名： | 刘素华 唐驾时 |
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| 作者单位： | (1)湖南大学力学与航空航天学院,长沙 410082; (2)湖南大学力学与航空航天学院,长沙 410082; 安阳工学院，安阳 455000 |
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| 摘 要： | 分析Langford系统的Hopf分叉现象，并研究采用线性反馈控制方法控制该系统的Hopf分叉.从理论上推导出受控系统产生Hopf分叉的条件，给出了某些极限环的解析表达式，对该系统进行了分叉点的转移与极限环的稳定性控制.数值模拟说明本文采用的方法对Langford系统的Hopf分叉控制是有效的.
关键词：
Langford系统
反馈控制
Hopf分叉
极限环
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| 关 键 词： | Langford系统 反馈控制 Hopf分叉 极限环 |
| 文章编号： | 1000-3290/2007/56(06)/3145-07 |
| 收稿时间： | 2006-07-18 |
| 修稿时间： | 2006-07-18 |
Linear feedback control of Hopf bifurcation in Langford system |
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| Liu Su-Hua,Tang Jia-Shi.Linear feedback control of Hopf bifurcation in Langford system[J].Acta Physica Sinica,2007,56(6):3145-3151. |
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| Authors: | Liu Su-Hua Tang Jia-Shi |
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| Institution: | 1. College of Mechanics and Aerospace, Hunan University, Changsha 410082, China ; 2. ( Anyang Institute of Technology, Anyang 455000, China |
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| Abstract: | The Hopf bifurcation characteristic in Langford system is analyzed and the control of Hopf bifurcation in this system is investigated by means of the method of linear state feedback control. The condition in which Hopf bifurcation occurs in the controlled system is arrived at in analysis and the analytical expressions of the limit cycles are obtained. Hopf bifurcation points are transformed and the stability of the limit cycles is controlled. The analytical results on controlling Hopf bifurcation points via the controllers agree well with the numerical results. |
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| Keywords: | Langford system feedback control Hopf bifurcation limit cycle |
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