BIFURCATION OF LIMIT CYCLE AT THE INFINITY ON A CENTER MANIFOLDS IN SPACE VECTOR FIELD

被引：0
|
作者：
Du, Chaoxiong [1 ]
Huang, Wentao [2 ]
机构：
[1] Changsha Normal Univ, Sch Math Sci, Changsha 410100, Hunan, Peoples R China
[2] Guangxi Normal Univ, Coll Math & Stat, Guilin 541006, Guangxi, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Space vector field; infinity; limit cycle bifurcation; focal values; SINGULAR POINT; HOPF-BIFURCATION; SYSTEMS;
D O I：
10.11948/20230254
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with the problem of large amplitude limit cycles bifurcation at infinity in space vector field. By making two appropriate transformations and making use of singular values methods on a center manifold to compute focal values carefully, we obtain the simplified expressions of the first five focal values at the infinity by using symbolic calculation methods. Further, we show the infinity can bifurcate 5 large limit cycles.
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页码：408 / 423
页数：16
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