一阶时滞微分方程欧拉法的动力性

庄小兰; 王琦

doi:10.12052/gdutxb.170098

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一阶时滞微分方程欧拉法的动力性

更新时间：2026-05-27

- 一阶时滞微分方程欧拉法的动力性
- Dynamics of Euler Method for the First Order Delay Differential Equation
- 广东工业大学学报 2018年35卷第1期页码：46-49
- 作者机构：
  
  广东工业大学　应用数学学院,广东,广州,510520
- 作者简介：
  
  庄小兰(1993-), 女, 硕士研究生, 主要研究方向为微分方程数值解. E-mail: 851794067@qq.com
- 基金信息：
  
  广东省自然科学基金资助项目(2017A030313031)
- DOI：10.12052/gdutxb.170098
  中图分类号： O193
- 网络首发：2018-01-09，
  
  纸质出版：2018
- 稿件说明：
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庄小兰, 王琦. 一阶时滞微分方程欧拉法的动力性[J]. 广东工业大学学报, 2018, 35(1): 46-49.

Zhuang Xiao-lan, Wang Qi. Dynamics of Euler Method for the First Order Delay Differential Equation[J]. 2018, 35(1): 46-49.
庄小兰, 王琦. 一阶时滞微分方程欧拉法的动力性[J]. 广东工业大学学报, 2018, 35(1): 46-49. DOI： 10.12052/gdutxb.170098.

Zhuang Xiao-lan, Wang Qi. Dynamics of Euler Method for the First Order Delay Differential Equation[J]. 2018, 35(1): 46-49. DOI： 10.12052/gdutxb.170098.

摘要

应用欧拉法研究了一阶时滞微分方程的动力性，验证了随着时滞的增加，正的不动点处出现了一系列霍普夫分支，同时分析了正不动点的稳定性. 最后通过数值算例说明了结果的正确性.

Abstract

The dynamics of the first order delay differential equation is studied by applying an Euler method. It is showed that a sequence of Hopf bifurcations occur at the positive fixed point as the delay increases. Meanwhile

the stability of the fixed point is analyzed. At last

some numerical experiments are given to verify the correctness of the result.

关键词

Keywords

references

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