Periodic orbits in 3-dimensional systems and application to a perturbed Volterra system

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:260

Article

Li, Chengzhi^1,2,3  Ma, Zhien³  Zhou, Yicang³ 

[1] Peking Univ, LMAM, Beijing 100871, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[3] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

关键词: Invariant manifold;    Periodic orbit;    Volterra system;    Bifurcation;   

DOI  :  10.1016/j.jde.2015.10.018

来源: Elsevier

【 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.

【 授权许可】

Free