Bifurcations of invariant tori and subharmonic solutions of singularly perturbed system
文献类型：期刊论文
| 作者 | Ye, Zhiyong; Han, Maoan |
| 刊名 | Chinese annals of mathematics series b
 |
| 出版日期 | 2007-03-01 |
| 卷号 | 28期号:2页码:135-148 |
| 关键词 | Singular perturbation Subharmonic solution Saddle-node Invariant torus |
| ISSN号 | 0252-9599 |
| DOI | 10.1007/s11401-005-0081-4 |
| 通讯作者 | Ye, zhiyong(yezy@cqit.edu.cn) |
| 英文摘要 | This paper deals with bifurcations of subharmonic solutions and invariant tori generated from limit cycles in the fast dynamics for a nonautonomous singularly perturbed system. based on poincare map, a series of blow-up transformations and the theory of integral manifold, the conditions for the existence of invariant tori are obtained, and the saddle-node bifurcations of subharmonic solutions are studied. |
| WOS关键词 | PERIODIC-ORBITS ; POINTS |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000246546000001 |
| 出版者 | SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2383215 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Ye, Zhiyong |
| 作者单位 | 1.Xi An Jiao Tong Univ, Dept Math, Xian 710049, Peoples R China 2.Chongqing Inst Technol, Dept Math, Chongqing 400050, Peoples R China 3.Shanghai Normal Univ, Dept Math, Shanghai 200243, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ye, Zhiyong,Han, Maoan. Bifurcations of invariant tori and subharmonic solutions of singularly perturbed system[J]. Chinese annals of mathematics series b,2007,28(2):135-148. |
| APA | Ye, Zhiyong,&Han, Maoan.(2007).Bifurcations of invariant tori and subharmonic solutions of singularly perturbed system.Chinese annals of mathematics series b,28(2),135-148. |
| MLA | Ye, Zhiyong,et al."Bifurcations of invariant tori and subharmonic solutions of singularly perturbed system".Chinese annals of mathematics series b 28.2(2007):135-148. |
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来源：中国科学院大学
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