一类平面内分段光滑三次微分系统的极限环  

Limit Cycles for a Class of Planar Piecewise Smooth Cubic Differential Systems

作　　者：赵全锋 水树良[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《鲁东大学学报（自然科学版）》2016年第4期295-301,共7页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(11171309;11172269)

摘　　要：主要考虑了一类三次分段光滑微分多项式系统极限环个数的问题,利用一阶平均法,估计出该多项式的未扰系统的周期环域至少可以分支出10个极限环.A class of planar piecewise smooth cubic differential systems was mainly studied. The lower bound of the number of the ten limit cycles from the periodic annulus of the origin for the above system was estimated by using the first order averaging method.

关 键 词：极限环 平均函数 分段微分系统 

分 类 号：O175.25[理学—数学]