New Double Bifurcation of Nilpotent Focus

被引：13

作者：

Li, Feng ^{[1
]}

Li, Hongwei ^{[1
]}

Liu, Yuanyuan ^{[1
]}

机构：

[1] Linyi Univ, Sch Math & Stat, Linyi 276005, Shandong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2021年 / 31卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Nilpotent singular point; limit cycle; bifurcation; LIMIT-CYCLES; POINTS;

D O I：

10.1142/S021812742150053X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new bifurcation phenomenon of nilpotent singular point is analyzed. A nilpotent focus or center of the planar systems with 3-multiplicity can be broken into two complex singular points and a second order elementary weak focus. Then, two more limit cycles enclosing the second order elementary weak focus can bifurcate through the multiple Hopf bifurcation.

引用

页数：4

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