一类拟三次系统的中心条件与极限环分支  

Center Conditions and Bifurcation of Limit Cycles in A Class of Quasi-Cubic Systems

作　　者：潘雪军[1] 郭远丽 

机构地区：[1]同济大学浙江学院,浙江嘉兴314051 [2]浙江海宁高级中学,浙江海宁314400

出　　处：《杭州师范大学学报（自然科学版）》2011年第2期119-123,共5页Journal of Hangzhou Normal University(Natural Science Edition)

摘　　要：研究了一类拟三次系统的奇点量、中心焦点判定与极限环分支问题,首先通过适当的变换将系统的原点(无穷远点)转化为原点,得到了系统原点的前21个奇点量,从而导出原点为中心和最高阶细焦点(细奇点)的条件,并分别给出了原点和无穷远点分支出4个极限环的实例.This paper investigated the singular quantity, center conditions and bifurcation of limit cycles in a class of quasi-cubic systems changed the origin of the system which is infinite point to be origin, obtained twenty-first singular points and deduced the conditions for origin to be a center and the fine focus of the highest order provided the examples of that four limit cycles branched from the origin and the infinite point respectively as well.

关 键 词：拟三次系统 奇点量 中心条件 极限环分支 

分 类 号：O175.12[理学—数学]