一类半平面周期环域的二次系统的Poincare分支  

A Poincare Bifurcation of the Quadratic Systems in a Type of Half Plane Periodic Regions

作　　者：房刚[1] 

机构地区：[1]大连广播电视大学,辽宁大连116021

出　　处：《辽宁师范大学学报（自然科学版）》2006年第4期400-403,共4页Journal of Liaoning Normal University:Natural Science Edition

摘　　要：具有中心的可积非Hamilton二次系统在二次微扰下,其Poincare分支能分支出极限环的个数问题的研究难度很大.对一类特殊情形,运用Able积分计算,证明了一类平面周期环域的二次系统的Poincare分支能且至多能分支出两个极限环.On the condition of quadratic perturbations, for the integral quadratic non-Hamilton systems with a center, the problem of how many limit cycles its Poincare bifurcation can produce is difficult to study. In this paper,using Abel integral,we prove that the Poincare bifurcation of the quadratic systems in a type of half plane periodic region can produce at most two limit cycles.

关 键 词：二次系统 POINCARE分支 ABEL积分 

分 类 号：O174.41[理学—数学]