一类多项式微分系统的局部稳定性

IF 0.5 Q3 MATHEMATICS

Malaysian Journal of Mathematical Sciences Pub Date : 2023-06-01 DOI:10.47836/mjms.17.2.06

Ismail Mirumbe, J. Nakakawa, J. Mango

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引用次数: 0

摘要

给出并证明了一类二维多项式微分方程组的局部稳定性的一个条件。我们给出了多项式微分方程组的一些例子来证明对于平凡平衡点(0,0)所建立的这种局部稳定性条件是相当尖锐的，并将我们的结果与著名的Lyapunov局部稳定性判据(Lyapunov第二方法)进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Local Stability of a Certain Class of Polynomial Differential System

We state and prove a condition for the local stability of a certain class of two dimensional system of polynomial differential equations. We give some examples of polynomial differential systems of equations to demonstrate that this local stability condition established for the trivial equilibrium point (0,0) is quite sharp and compare our result with the well known Lyapunov local stability criterion (Lyapunov's second method).

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来源期刊

Malaysian Journal of Mathematical Sciences MATHEMATICS-

CiteScore

1.10

自引率

20.00%

发文量

期刊介绍： The Research Bulletin of Institute for Mathematical Research (MathDigest) publishes light expository articles on mathematical sciences and research abstracts. It is published twice yearly by the Institute for Mathematical Research, Universiti Putra Malaysia. MathDigest is targeted at mathematically informed general readers on research of interest to the Institute. Articles are sought by invitation to the members, visitors and friends of the Institute. MathDigest also includes abstracts of thesis by postgraduate students of the Institute.