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| 单边碰撞系统的擦边诱导鞍结分岔 | |
| 引用本文： | 冯进钤. 单边碰撞系统的擦边诱导鞍结分岔[J]. 安徽大学学报(自然科学版), 2011, 35(5): 22-25 |
| 作者姓名： | 冯进钤 |
| 作者单位： | 西安工程大学理学院,陕西西安,710048 |
| 基金项目： | 国家自然科学基金资助项目(10872165);陕西省教育厅科研基金资助项目(2010JK557);西安工程大学博士科研基金资助项目(BS1003) |
| 摘 要： | 研究受谐和外激的单边碰撞系统,发现了一种新颖的擦边诱导的鞍结分岔.考察了间隙的变化,系统的周期轨出现擦边现象,从而诱导鞍结分岔的发生.结合相图.分岔图和胞映射等数值方法阐释了这种擦边诱导的鞍结分岔产生的机制. |
| 关 键 词： | 碰撞系统 擦边 鞍结分岔 全局分析 |
Grazing-induced saddle-node bifurcation in a unilateral vibro-impact system |
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| FENG Jin-qian. Grazing-induced saddle-node bifurcation in a unilateral vibro-impact system[J]. Journal of Anhui University(Natural Sciences), 2011, 35(5): 22-25 | |
| Authors: | FENG Jin-qian |
| Affiliation: | FENG Jin-qian(School of Science,Xi’an Polytechnic University,Xi’an 710048,China) |
| Abstract: | Dynamic of a unilateral vibro-impact system under harmonious excitation is investigated.A novel grazing-induced saddle-node bifurcation is presented.As the clearance varieties,grazing phenomenon of period orbit appears,which induces that saddle-node bifurcations occur.In addition,phase portrait,bifurcation diagram and cell mapping are given to confirm the causation. |
| Keywords: | vibro-impact system grazing saddle-node bifurcation global analysis |
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