关于一类平面n+2次系统极限环唯一性的一个注记

岳喜顺;曾宪武

数学学报 ›› 2003, Vol. 46 ›› Issue (2) : 369-374.

数学学报 ›› 2003, Vol. 46 ›› Issue (2) : 369-374. DOI: 10.12386/A2003sxxb0050
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关于一类平面n+2次系统极限环唯一性的一个注记

    岳喜顺;曾宪武
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A Note on the Uniqueness of Limit Cycles of a Class of Planar Systems of Degree n + 2

    Xi Shun YUE(1),Xian Wu ZENG(2)
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摘要

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.

Abstract

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.

关键词

极限环 / 唯一性 / 广义Liénard方程 / 生化反应

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岳喜顺;曾宪武. 关于一类平面n+2次系统极限环唯一性的一个注记. 数学学报, 2003, 46(2): 369-374 https://doi.org/10.12386/A2003sxxb0050
Xi Shun YUE(1),Xian Wu ZENG(2). A Note on the Uniqueness of Limit Cycles of a Class of Planar Systems of Degree n + 2. Acta Mathematica Sinica, Chinese Series, 2003, 46(2): 369-374 https://doi.org/10.12386/A2003sxxb0050

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