Periodic solutions for van der Pol equation with time delay
文献类型：期刊论文
| 作者 | Lin, Guojian |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2007-04-15 |
| 卷号 | 187期号:2页码:1187-1198 |
| 关键词 | periodic solution time delay van der Pol equation linear chain trick geometric singular perturbation theory inertial manifold |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2006.09.032 |
| 英文摘要 | For van der Pol equation with distributed delay, when the distributed delay kernel is the general Gamma distributed delay kernel, the existence and the stability of periodic solution are obtained by using the linear chain trick and geometric singular perturbation theory. On the other hand, for van der Pol equation with discrete delay, the existence and the stability are proved by employing a technique which is based on inertial manifold. Finally, numerical simulations are also given to illustrate the results. (c) 2006 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000248545300065 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5284]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Lin, Guojian |
| 作者单位 | Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lin, Guojian. Periodic solutions for van der Pol equation with time delay[J]. APPLIED MATHEMATICS AND COMPUTATION,2007,187(2):1187-1198. |
| APA | Lin, Guojian.(2007).Periodic solutions for van der Pol equation with time delay.APPLIED MATHEMATICS AND COMPUTATION,187(2),1187-1198. |
| MLA | Lin, Guojian."Periodic solutions for van der Pol equation with time delay".APPLIED MATHEMATICS AND COMPUTATION 187.2(2007):1187-1198. |
入库方式： OAI收割
来源：数学与系统科学研究院
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