Calculating bifurcation points with guaranteed accuracy

被引：0

作者：

Kanzawa, J ^{[1
]}

Oishi, S ^{[1
]}

机构：

[1] Waseda Univ, Grad Sch Sci & Engn, Tokyo 1698555, Japan

来源：

IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 1999年 / E82A卷 / 06期

关键词：

numerical computation with guaranteed accuracy; Krawczyk-based interval validation method; turning points; symmetry breaking bifurcation points; hysteresis points; extended systems; bifurcation points;

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents a method of calculating an interval including a bifurcation point. Turning points, simple bifurcation points, symmetry breaking bifurcation points and hysteresis points are calculated with guaranteed accuracy by the extended systems for them and by the Krawczyk-based interval validation method. Taking several examples, the results of validation are also presented.

引用

页码：1055 / 1061

页数：7

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