Bifurcation of limit cycles at infinity in piecewise polynomial systems

被引：60
|
作者：
Chen, Ting [1 ]
Huang, Lihong [1 ,2 ]
Yu, Pei [3 ]
Huang, Wentao [4 ]
机构：
[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
[2] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410082, Hunan, Peoples R China
[3] Western Univ, Dept Appl Math, London, ON N6A 5B7, Canada
[4] Guilin Univ Aerosp Technol, Sch Sci, Guilin 541004, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2018年 / 41卷
基金：
中国国家自然科学基金;
关键词：
Piecewise polynomial system; Lyapunov constant; Center; Limit cycle; CUBIC SYSTEM; CENTERS;
D O I：
10.1016/j.nonrwa.2017.10.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study bifurcation of limit cycles from the equator of piecewise polynomial systems with no singular points at infinity. We develop a method for computing the Lyapunov constants at infinity of piecewise polynomial systems. In particular, we consider cubic piecewise polynomial systems and study limit cycle bifurcations in the neighborhood of the origin and infinity. Moreover, an example is presented to show 11 limit cycles bifurcating from infinity. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：82 / 106
页数：25
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