Stability of a saddle node bifurcation under numerical approximations

被引：2

作者：

Li, MC ^{[1
]}

机构：

[1] Natl Changhua Univ Educ, Dept Math, Changhua 500, Taiwan

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2005年 / 49卷 / 11-12期

基金：

英国医学研究理事会;

关键词：

stability; bifurcation; saddle node; numerical approximation;

D O I：

10.1016/j.camwa.2004.09.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that the solution flows generated by a one-parameter family of ordinary differential equations are stable under their numerical approximations in a vicinity of a saddle node. Our result sharpens the one in [1] and the proof is adapted from the method of Sotomayor in [2,3]. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1849 / 1852

页数：4

共 15 条

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