再论一类二次系统的无界双中心周期环域的Poincare分支  

STUDY ON THE POINCARE BIFURCATION OF QUADRATIC SYSTEM WITH TWO CENTERS AND TWO UNBOUNDED HETEROCLINIC LOOPS ONCE AGAIN

作　　者：谭欣欣[1] 冯恩民[1] 沈伯骞[2] 

机构地区：[1]大连理工大学应用数学系 [2]辽宁师范大学数学系,大连116029

出　　处：《应用数学学报》2004年第2期300-309,共10页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(19871009号);辽宁省高校科研基金(A990311010号)

摘　　要：本文再一次讨论了具有双曲线与赤道弧为边界的双中心周期环域的二次系统的Poincare 分支,并构造出了此系统出现极限环的(0,3)分布或出现一个三重极限环的具体例子。In this paper, we studay the Poincare bifurcation of quadratic system with two centers and two unbounded heteroclinic loops once again. There bounds are formed by the hyperbola and the equatorial arc. We construct some concrete examples, in which there are three limit cycles with (0,3) distribution or a triple limit cycle.

关 键 词：二次系统 双曲线 POINCARE分支 极限环 ABEL积分 

分 类 号：O172.2[理学—数学]