Stability of a saddle node bifurcation under numerical approximations

被引：3
|
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.
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页码：1849 / 1852
页数：4
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