一类线性侧位系统的极限环分支  

The Bifurcation of Limit Cycles of a Class of Lateral Systems

作　　者：于江[1] 赵倩倩[1] 

机构地区：[1]上海交通大学数学科学学院,上海200240

出　　处：《山西大学学报（自然科学版）》2017年第3期395-405,共11页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11431008;11501193);上海自然科学基金(15ZR1423700)

摘　　要：讨论了一类焦点-焦点型线性侧位系统(即夹角为θ∈(0,π)的两扇形区域不连续线性动力系统)极限环分支,证明了此类系统极限环的环性为2,并给出分支图。且可扰动系统参数,使得线性侧位系统存在3个极限环。A class of linear lateral systems with focus-focus type is considered, that is, the discontinuouspiecewise linear systems with two zones of the angle θ∈（0,π）. It is provided the bifurcation diagram,which shows that there exist 0, 1 and 2 limit cycles in such systems, respectively. And the lateral systemscan have 3 limit cycles by perturbing some parameters.

关 键 词：不连续分段动力系统 线性侧位系统 焦点-焦点型 极限环分支 

分 类 号：O19[理学—数学]