一类高次多项式系统极限环的存在性

Existence of Limit Cycles for A Class of Higher Degree Polynomial Systems

通过变换将一类高次多项式系统转化为广义Liénard系统,并利用广义Liénard系统的结果研究了其极限环存在性问题,得到了极限环存在与不存在的充分条件.

In this paper, we transform a class of the higher degree polynomial system into the generalized Lienard system and discuss the existence of limit cycles for this system by using the abundant results of the generalized Lienard system, the sufficient conditions of the existence and nonexistence of the limit cycles for these systems are obtained.