Bifurcation of Euler buckling problem, revisited

IF 0.6 4区数学 Q3 MATHEMATICS

Hokkaido Mathematical Journal Pub Date : 2021-02-01 DOI:10.14492/hokmj/2018-910

Atia Afroz, Toshizumi Fukui

引用次数: 0

Abstract

We present a precise discussion of Golubitsky and Schaeffer's treatment on bifurcation of Euler buckling problem. We discuss smoothness of the problem and derive equations describing the bifurcation set $B$ and the hysteresis set $H$ up to order 3, which enable us to draw their figures approximately under suitable assumptions.

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欧拉屈曲问题的分岔问题

我们对Golubitsky和Schaeffer关于Euler屈曲问题分叉的处理方法进行了精确的讨论。我们讨论了问题的光滑性，并导出了描述分支集$B$和滞后集$H$的方程，这些方程高达3阶，使我们能够在适当的假设下近似地绘制它们的图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Hokkaido Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.