关于一类平面n+2次系统极限环唯一性的一个注记

A Note on the Uniqueness of Limit Cycles of a Class of Planar Systems of Degree n + 2

本文继续完善文[1]和[2]的工作,利用广义Lienard方程和张芷芬唯一性定 理证明了,当n≥3时一类n+2次生化反应系统极限环的唯一性.至此,该系统极 限环唯一性问题得到完整解决.

This paper continues the work of [1] and [2]. Using the generalized Lienard equation and Zhang Zhifen uniqueness theorem we give a proof of the uniqueness of limit cycles of a class of systems of biochemical reaction of degree n + 2 for the case n ≥ 3. So far the problem of the uniqueness of limit cycles of the system has been completely solved.