Periodic solutions for van der Pol equation with time delay

doi:10.1016/j.amc.2006.09.032

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	Periodic solutions for van der Pol equation with time delay
	Lin, Guojian
	2007-04-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	187 期号:2 页码:1187-1198
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.
关键词	periodic solution time delay van der Pol equation linear chain trick geometric singular perturbation theory inertial manifold
DOI	10.1016/j.amc.2006.09.032
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000248545300065
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5285
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.