带两条平行切换直线多项式微分系统的极限环分支  

Limit Circle Bifurcations of Polynomial Differential System with Two Parallel Switch Straight Lines

作　　者：姜雪丽 邓璇 文邱浩 熊艳琴 Jiang Xueli;Deng Xuan;Wen Qiuhao;Xiong Yanqin(School of Mathematics and Statistics,Nanjing University of Information Science&Technology,Nanjing 210044)

机构地区：[1]南京信息工程大学数学与统计学院,南京210044

出　　处：《数学物理学报（A辑）》2022年第2期353-364,共12页Acta Mathematica Scientia

基　　金：国家自然科学基金(11701289)。

摘　　要：该文研究了一类带两条平行切换直线多项式微分系统的极限环分支问题.借助广义首阶Melnikov函数及相关定性理论知识,导出其代数结构及相应系数表达式,再根据系数的相互变化研究广义双同宿分支,获得其环性数的一个下界.In this paper,the limit cycle bifurcation problem is investigated for a class of polynomial differential system with two parallel switch straight lines.We use the generalized first order Melnikov function and related qualitative theory of knowledge to export the algebraic and corresponding coefficients of expression,then,use coefficient of change to research generalized double homoclinic bifurcation,and get a lower bound of its ring number.

关 键 词：不连续微分系统 极限环 MELNIKOV函数 同宿分支 

分 类 号：O175.1[理学—数学]