一类二次系统的Poincaré分支  

The Poincaré bifurcation of a class of quadratic systemsSONG Yan

作　　者：宋燕[1] 

机构地区：[1]渤海大学数学系,锦州121000

出　　处：《纯粹数学与应用数学》2004年第3期291-294,共4页Pure and Applied Mathematics

摘　　要：讨论一类具有以抛物线与直线为边界的周期环域的二次系统的 Poincaré分支 ,证明了其 Poincaré分支最多可以产生一个极限环 。In this paper,we discuss the Poincaré bifurcation of quadratic systems with the periodic region which has a parabola and a invariant straight line as its boundary.We prove that at most one limit cycle can be occured from the bifurcation.

关 键 词：周期环域 POINCARÉ分支 极限环 

分 类 号：O175[理学—数学]