一类分段光滑二次系统中心的极限环分岔  

Limit cycle bifurcation of center in a class of piecewise smooth quadratic systems

作　　者：张庆[1] 杜正东[1] ZHANG Qing;DU Zheng-Dong(School of Mathematics,Sichuan University,Chengdu 610064,China)

机构地区：[1]四川大学数学学院,成都610064

出　　处：《四川大学学报（自然科学版）》2022年第6期23-27,共5页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(11971019)。

摘　　要：本文研究了一类分段二次光滑系统的中心在高阶扰动下的极限环个数.已有结果显示,此类系统具有5组中心条件.本文从其中一组中心条件出发分析了系统在8阶以下参数扰动下所能产生的极限环个数,结果为6个,改进了已知结果.In this paper, we consider the number of limit cycles bifurcated from the weak center of a class of piecewise smooth quadratic systems of focus-parabolic type. It is well known that these systems process five center conditions. Taking one of the center conditions as an example, we show that six limit cycles can bifurcate from the center by perturbing the system parameters up to the order of 8, thus improve the corresponding results.

关 键 词：中心分岔 非光滑系统 高阶扰动 中心 焦点 

分 类 号：O175.14[理学—数学]