带两条平行切换直线多项式微分系统的极限环分支

Abstract

Abstract:

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.

Key words: Discontinuous planar system, Limit cycle, Melnikov function, Homoclinic bifurcations

CLC Number:

O175.1

Xueli Jiang,Xuan Deng,Qiuhao Wen,Yanqin Xiong. Limit Circle Bifurcations of Polynomial Differential System with Two Parallel Switch Straight Lines[J].Acta mathematica scientia,Series A, 2022, 42(2): 353-364.

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

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