具有两个不相交抛物线解的中心对称三次系统  

A Central Symmetric Cubic System with Two Parabolic Solutions which Don't lhtersect Each Other

作　　者：郝金彪[1] 沈伯骞[1] 

机构地区：[1]辽宁师范大学数学系,辽宁大连116029

出　　处：《淮北煤师院学报（自然科学版）》1999年第4期12-16,共5页Journal of Huaibei Teachers College(Natural Sciences Edition)

摘　　要：本文讨论了具有两个不相交抛物线解的中心对称三次系统，证明了此系统不存在代数分界线环，但可以存在极限环，至少可以存在两个，如存在，它们只可能位于原点的外围．In this paper, we discussed a central symmetric cubic system with two parabolic solutions which don't intersect each other, provided that this system can not exist algebraic separatrix cycle. But can exist limit cycles and may be two in this system. If the limit cycles isexist, they must located in outside of origen.

关 键 词：三次系统 分界线环 极限环 中心对称 抛物线 

分 类 号：O175.12[理学—数学]