Bifurcation of Limit Cycles for a Perturbed Piecewise Quadratic Diferential Systems  

作　　者：Gui Lin JI Chang Jian LIU Peng Heng LI 

机构地区：[1]School of Mathematics(Zhuhai),Sun Yat-sen University,Zhuhai,519082,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第3期591-611,共21页数学学报（英文版）

基　　金：Supported by NSFC(Grant No.11771315)。

摘　　要：In this paper,the bifurcation of limit cycles for planar piecewise smooth systems is studied which is separated by a straight line.We give a new form of Abelian integrals for piecewise smooth systems which is simpler than before.In application,for piecewise quadratic system the existence of 10 limit cycles and 12 small-amplitude limit cycles is proved respectively.

关 键 词：Piecewise system limit cycle Abelian integral 

分 类 号：O153.3[理学—数学]