| Equilibrium points and bifurcation control of a chaotic system |
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| 作者姓名： | 梁翠香 唐驾时 |
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| 作者单位： | College of Mechanics and Aerospace, Hunan University,
Changsha 410082, China;College of Mechanics and Aerospace, Hunan University,
Changsha 410082, China |
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| 基金项目： | Project
supported by the National Natural Science Foundation of China (Grant
No 10672053). |
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| 摘 要： | Based on the Routh-Hurwitz criterion, this paper investigates the stability of a new chaotic system. State feedback controllers are designed to control the chaotic system to the unsteady equilibrium points and limit cycle. Theoretical analyses give the range of value of control parameters to stabilize the unsteady equilibrium points of the chaotic system and its critical parameter for generating Hopf bifurcation. Certain nP periodic orbits can be stabilized by parameter adjustment. Numerical simulations indicate that the method can effectively guide the system trajectories to unsteady equilibrium points and periodic orbits.
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| 关 键 词： | 无序系统 分叉控制 力平衡 力学 |
| 收稿时间： | 2007-01-25 |
| 修稿时间： | 2007-04-17 |
Equilibrium points and bifurcation control of a chaotic system |
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| Liang Cui-Xiang and Tang Jia-Shi.Equilibrium points and bifurcation control of a chaotic system[J].Chinese Physics B,2008,17(1):135-139. |
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| Authors: | Liang Cui-Xiang and Tang Jia-Shi |
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| Institution: | College of Mechanics and Aerospace, Hunan University,
Changsha 410082, China |
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| Abstract: | Based on the Routh--Hurwitz criterion, this paper investigates the
stability of a new chaotic system. State feedback controllers are
designed to control the chaotic system to the unsteady equilibrium
points and limit cycle. Theoretical analyses give the range of value
of control parameters to stabilize the unsteady equilibrium points of
the chaotic system and its critical parameter for generating Hopf
bifurcation. Certain nP periodic orbits can be stabilized by
parameter adjustment. Numerical simulations indicate that the method
can effectively guide the system trajectories to unsteady equilibrium
points and periodic orbits. |
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| Keywords: | chaotic system Routh--Hurwitz
criterion Hopf bifurcation feedback control |
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