Center-focus and Hopf bifurcation for a class of quartic Kukles-like systems

被引：0

作者：

Wu, Yusen ^{[1
]}

Xu, Changjin ^{[2
]}

机构：

[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Henan, Peoples R China

[2] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Guizhou, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

center-focus; Hopf bifurcation; quadratic Kukles-like systems; NILPOTENT CRITICAL-POINT; LIMIT-CYCLES;

D O I：

10.1186/1687-1847-2014-245

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present article, we solve the center-focus problem for a class of quartic Kukles-like systems with third-order nilpotent singularities and prove the existence of five limit cycles in the neighborhood of the origin.

引用

页数：11

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