| 时滞位移反馈对一类非对称参数激励系统混沌运动的控制 |
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| 引用本文： | 尚慧琳. 时滞位移反馈对一类非对称参数激励系统混沌运动的控制[J]. 上海轻工业高等专科学校学报, 2014, 0(2): 123-126 |
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| 作者姓名： | 尚慧琳 |
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| 作者单位： | 上海应用技术学院机械工程学院,上海201418 |
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| 基金项目： | 国家自然科学基金青年基金资助项目（10902071）;上海市教委晨光计划资助项目（11CG61）;上海市教委重点学科建设资助项目（J51501）;上海应用技术学院科技发展基金资助项目（KJ2011-06）;上海应用技术学院重点学科建设资助项目（1020Q121001） |
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| 摘 要： | 对一类非对称单自由度参数激励系统施加时滞位移反馈,研究时滞反馈对混沌运动的双向调节作用.定性研究了时滞反馈控制系统复杂行为的机理,结合系统相图,庞加莱截面图和谱分析发现：激励振幅的增大会使得原系统从单平衡点稳定走向倍周期运动和混沌运动;在正反馈的情况下,时滞反馈能够抑制系统的混沌运动,而在负反馈下时滞反馈反而诱发系统的混沌运动.
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| 关 键 词： | 时滞 分岔 混沌 反馈 |
Control of Chaotic Motion in a Parametrically Excited Asymmetrical System by Delayed Position Feedbacks |
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| SHANG Hui-lin. Control of Chaotic Motion in a Parametrically Excited Asymmetrical System by Delayed Position Feedbacks[J]. Journal of Shanghai Institute of Technology(Natural Science), 2014, 0(2): 123-126 |
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| Authors: | SHANG Hui-lin |
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| Affiliation: | SHANG Hui-lin (School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai 201418, China) |
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| Abstract: | Inducing delayed position feedbacks to a parametrically excited single-freedom asymmetrical system, the effect of delayed feedbacks on the dual-directional control of chaotic motions was studied. A qualitative research was made as to the mechanism of the complex dynamics of the delayed feedbacks controlled system. Combined with the system phase diagram, Poincare map and spectrum diagram, it was found that the increasing of the excitation amplitude may induce 2-periodic motions and chaotic motion of the initial system. It was indicated that chaotic motion of the system could be restrained by the delayed feedbacks if the gain was positive, while chaotic motion of the system could be induced by the delayed feedbacks if the gain was negative. |
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| Keywords: | time delay fractal chaos feedback |
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