常微分方程双曲不动点结构稳定性的证明

doi:10.13371/j.cnki.chin.q.j.m.2018.01.011

数学季刊 ›› 2018, Vol. 33 ›› Issue (1): 93-97.doi: 10.13371/j.cnki.chin.q.j.m.2018.01.011

常微分方程双曲不动点结构稳定性的证明

School of Mathematics and Statistics Henan University

接受日期:2017-05-29 出版日期:2018-03-30 发布日期:2020-10-19
作者简介:Wang Qi(1982-), male, native of Luoyang, Henan, associate professor of Henan University, Ph.D., engages in nonlinear functional analysisvariotianal methods; Zhang Shuo(1992-), female, native of Puyang,Henan, graduate student of Henan University, engages in nonlinear functional analysisvariotianal methods.
基金资助:
Supported by NNSF of China(11301148)；

The Proof of Structural Stability of Hyperbolic Fixed Points in Ordinary Di®erential Equations

School of Mathematics and Statistics Henan University

Accepted:2017-05-29 Online:2018-03-30 Published:2020-10-19
About author:Wang Qi(1982-), male, native of Luoyang, Henan, associate professor of Henan University, Ph.D., engages in nonlinear functional analysisvariotianal methods; Zhang Shuo(1992-), female, native of Puyang,Henan, graduate student of Henan University, engages in nonlinear functional analysisvariotianal methods.
Supported by:
Supported by NNSF of China(11301148)；

摘要/Abstract

摘要： In ordinary differential equations, structural stability of hyperbolic fixed points is a classical result, but the proof of this result in [2] has same small mistake. In this paper,we will correct the above mistake by using the Hartman theorem and its idea.

关键词: Nonlinear system, Hyperbolic fixed point, Structural stability

Abstract: In ordinary differential equations, structural stability of hyperbolic fixed points is a classical result, but the proof of this result in [2] has same small mistake. In this paper,we will correct the above mistake by using the Hartman theorem and its idea.

Key words: Nonlinear system, Hyperbolic fixed point, Structural stability

中图分类号:

O175

王琪, 张硕. 常微分方程双曲不动点结构稳定性的证明[J]. 数学季刊, 2018, 33(1): 93-97.

WANG Qi, ZHANG Shuo. The Proof of Structural Stability of Hyperbolic Fixed Points in Ordinary Di®erential Equations[J]. Chinese Quarterly Journal of Mathematics, 2018, 33(1): 93-97.

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常微分方程双曲不动点结构稳定性的证明

The Proof of Structural Stability of Hyperbolic Fixed Points in Ordinary Di®erential Equations

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