(E_n)系统极限环的相对位置

白敬新

数学学报 ›› 2004, Vol. 47 ›› Issue (2) : 337-342.

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PDF(386 KB)
数学学报 ›› 2004, Vol. 47 ›› Issue (2) : 337-342. DOI: 10.12386/A2004sxxb0043
论文

(E_n)系统极限环的相对位置

    白敬新
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The Relative Locations of Limit Cycles of an (E_n) System.

    Jing Xin BAI
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摘要

本文证明了,对任意正整数K,存在平面n次系统,它具有一串不少于K个 大极限环.这些大极限环两两之间各有若干小极限环.

Abstract

In this paper, it is proved that for any positive integer K, ther a exists a planar n-polynomial system which has a series of big limit cycles, and the number of the big limit cycles is at least K. Furthermore, there are many small limit cycles between any of them.

关键词

极限环 / n次系统 / 相对位置

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白敬新. (E_n)系统极限环的相对位置. 数学学报, 2004, 47(2): 337-342 https://doi.org/10.12386/A2004sxxb0043
Jing Xin BAI. The Relative Locations of Limit Cycles of an (E_n) System.. Acta Mathematica Sinica, Chinese Series, 2004, 47(2): 337-342 https://doi.org/10.12386/A2004sxxb0043
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