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	Periodic orbits in 3-dimensional systems and application to a perturbed Volterra system
	Li, Chengzhi ; Ma, Zhien ; Zhou, Yicang
	2016
关键词	Invariant manifold Periodic orbit Volterra system Bifurcation
英文摘要	We give a theorem about the existence of periodic orbits for a 3-dimensional system, then use it to study a perturbation of a 3-dimensional Volterra system, and prove the existence and uniqueness of its periodic orbits on a 2-dimensional invariant manifold. (C) 2015 Elsevier Inc. All rights reserved.; [NSFC-11171267]; [NSFC-11271027]; SCI(E); ARTICLE; licz@math.pku.edu.cn; zhma@mail.xjtu.edu.cn; zhouyc@mail.xjtu.edu.cn; 3; 2750-2762; 260
语种	英语
出处	SCI
出版者	JOURNAL OF DIFFERENTIAL EQUATIONS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/438659]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, Chengzhi,Ma, Zhien,Zhou, Yicang. Periodic orbits in 3-dimensional systems and application to a perturbed Volterra system. 2016-01-01.

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