一类三次系统的鞍点量和极限环  

SADDLE VALUES AND LIMIT CYCLES FOR A GIVEN CLASS OF CUBIC SYSTEMS

作　　者：詹榜华[1] 

机构地区：[1]中南工业大学

出　　处：《西南师范大学学报（自然科学版）》1989年第3期29-33,共5页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：本文通过求出具有双纽线解y^2=x^2-1/4x^4的三次系统的奇点(0,0)的鞍点量,得出鞍点量与分界线环y^2=x^2-1/4x^4的稳定性及极限环分枝,并求出了可积条件及通积分。In this paper, the author has studied the limit cycles bifurcation and thestability of separatrix cycle for a given class of cubic systems, and obtained therelation for its saddle values with respect to limit cycles bifurcation and the stability of separatrix cycle.

关 键 词：三次系统 鞍点量 极限环 

分 类 号：O153.3[理学—数学]