| 状态反馈控制声光双稳系统的倍周期分岔和混沌 |
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| 引用本文： | 吕翎,杜增,栾玲.状态反馈控制声光双稳系统的倍周期分岔和混沌[J].光子学报,2004,33(11):1401-1404. |
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| 作者姓名： | 吕翎 杜增 栾玲 |
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| 作者单位： | 辽宁师范大学物理系,大连,116029 |
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| 基金项目： | 国家自然科学基金(No.10175032)，辽宁省教育厅自然科学基金(No.202122023)资助 |
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| 摘 要： | 设计了一种动力学状态反馈(DSF)方法控制非线性混沌系统.介绍了DSF方法的控制原理,并用此方法控制声光双稳(AOB)系统的混沌,以此验证其有效性.仿真模拟显示,通过选择恰当的控制参数,有效地实现了声光双稳(AOB)系统中倍周期分岔的延迟控制和混沌吸引子中原不稳定周期轨道的稳定控制,同时,还可以将系统控制在2np、3mp 和2np×3mp这样其它任意所需的周期轨道上.
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| 关 键 词： | 声光双稳系统 状态反馈 倍周期分岔 混沌 控制 |
| 收稿时间： | 2003-10-15 |
| 修稿时间： | 2003年10月15 |
Control of Period-doubling Bifurcation and Chaos in Acousto-optical Bistable System by the Feedback of States |
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| Institution: | (Department of Physics, Liaoning Normal University, Dalian 116029) |
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| Abstract: | A new method of dynamical state feedback (DSF) is proposed to control nonlinear chaos system. Control principle is introduced,and the acousto-optical bistsble (AOB) system is taken as a typical example to demonstrate the effectiveness of this method.The dynamical behaviors of the AOB system controlled using the DSF method are given by computer numerical simulation. The results show that,the control of delaying period-doubling bifurcations and unstable periodic orbits in a chaotic attracter of the AOB system is effectively realized,and other stable periodic orbits 2np、3mp and 2np×3mp are obtained by adjusting the control parameters. |
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| Keywords: | Acousto optical bistable (AOB) system State feedback Period-doubling bifurcation Chao Control |
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