具有退化三次曲线解的Hamilton二次系统的Poincare分支  

The Poincare bifurcation of quadratic Hamilton system with degenerated cubic curve solution

作　　者：司成斌[1] 

机构地区：[1]辽宁师范大学大学数学学院,辽宁大连116029

出　　处：《纯粹数学与应用数学》2012年第4期446-461,共16页Pure and Applied Mathematics

摘　　要：具有退化三次曲线解的Hamilton二次系统,经二次微扰后的Poincare分支,是否存在两个极限环?这是一个长期受到困扰的问题.本文证明了在特定条件下,可以分支出两个极限环.It is a confusing question whether the Poincare bifurcation of quadratic Hamilton system with degenerated cubic curve solution can be distributed two limit cycles after quadratic disturbance. This paper demonstrates that it can be distributed, two limit cycles after quadratic disturbance in specific situation.

关 键 词：退化三次曲线解 二次Hamilton系统 POINCARE分支 

分 类 号：O175.12[理学—数学]