广义Liénard方程极限环的惟一性问题

张平光;赵申琪

数学学报 ›› 2004, Vol. 47 ›› Issue (6) : 1193-120.

PDF(398 KB)
PDF(398 KB)
数学学报 ›› 2004, Vol. 47 ›› Issue (6) : 1193-120. DOI: 10.12386/A2004sxxb0148
论文

广义Liénard方程极限环的惟一性问题

    张平光;赵申琪
作者信息 +

On the Uniqueness of Limit Cycle of the General Lienard Equation

    Ping Guang ZHANG, Shen Qi ZHAO
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摘要

本文证明了广义Lienard方程极限环的一个惟一性定理,并用它证明了具有 稀疏效应的捕食-食饵系统在其正奇点外围至多有一个极限环.

Abstract

In this paper, a theorem on the uniqueness of limit cycle of the general Lienard equation is proved. Applying the theorem to the predator-prey model with undercrowding effect, it is proved that the predator-prey system has at most one limit cycle around the positive weak singular point.

关键词

惟一性 / 极限环 / 广义Liénard方程

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张平光;赵申琪. 广义Liénard方程极限环的惟一性问题. 数学学报, 2004, 47(6): 1193-120 https://doi.org/10.12386/A2004sxxb0148
Ping Guang ZHANG, Shen Qi ZHAO. On the Uniqueness of Limit Cycle of the General Lienard Equation. Acta Mathematica Sinica, Chinese Series, 2004, 47(6): 1193-120 https://doi.org/10.12386/A2004sxxb0148
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