| 一个干摩擦Duffing振子的滑动分岔分析 |
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| 引用本文： | 秦志英,赵月静,彭伟. 一个干摩擦Duffing振子的滑动分岔分析[J]. 动力学与控制学报, 2011, 9(4): 352-356 |
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| 作者姓名： | 秦志英 赵月静 彭伟 |
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| 作者单位： | 河北科技大学机械电子工程学院,石家庄,050018 |
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| 基金项目： | 国家自然科学基金资助项目（11002046,10972059）,河北省自然科学基金资助项目（A2011208007） |
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| 摘 要： | 分析了一个干摩擦Duffing振子在不同参数下混沌和周期轨及不同周期轨之间的共存与转换.干摩擦振子属于Filippov系统,会发生特有的粘滞现象.分析发现,从穿越轨线转换到粘滞--滑移轨线不仅可经穿越滑动分岔和切换滑动分岔实现,也可经两个相邻的穿越滑动分岔和多滑动分岔实现,而从粘滞-滑移轨线转换到非穿越轨线须经擦边滑动...
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| 关 键 词： | 干摩擦 Filippov系统 粘滞-滑移轨线 滑动分岔 |
| 收稿时间： | 2010-12-21 |
| 修稿时间： | 2011-10-26 |
Sliding bifurcations in a dry-friction duffing vibrator |
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| Qin Zhiying,Zhao Yuejing and Peng Wei. Sliding bifurcations in a dry-friction duffing vibrator[J]. Journal of Dynamics and Control, 2011, 9(4): 352-356 |
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| Authors: | Qin Zhiying Zhao Yuejing Peng Wei |
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| Affiliation: | Qin Zhiying Zhao Yuejing Peng Wei (School of Mechanical and Electrical Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, China) |
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| Abstract: | This paper studied a dry-friction Duffing vibrator, and discussed the transitions and coexistences between chaos and periodic orbits, as well as different periodic orbits for different system parameters. As a Filippov system, special sticking phenomena may occur. The transition from crossing orbit to stick-slip orbit can be achieved not only by crossing-sliding bifurcation and switching-sliding bifurcation, but also by two near crossingsliding bifurcation and multi-sliding bifurcation. The transition from stick-slip orbit to non-crossing orbit must be achieved by grazing-sliding bifurcation. |
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| Keywords: | dry-friction Filippov system stick-slip orbits sliding bifurcations |
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