On Stability Discrimination of Limit Cycles for Piecewise Smooth Systems  

作　　者：Mao An HAN Xia Yu ZHOU 

机构地区：[1]School of Mathematical Sciences,Zhejiang Normal University,Jinhua,321004,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第7期1785-1803,共19页数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11931016)。

摘　　要：This paper is concerned with the problem of stability discrimination of limit cycles for piecewise smooth systems.We first establish the Poincaré map near a periodic orbit,and deduce the first order derivative of the map for general piecewise smooth systems on the plane.Then,we obtain a sufficient condition for determining the stability of limit cycles for these systems.

关 键 词：Piecewise smooth system limit cycle STABILITY 

分 类 号：O175[理学—数学]