February 2021 Bifurcation of Euler buckling problem, revisited
Atia AFROZ, Toshizumi FUKUI
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Hokkaido Math. J. 50(1): 111-150 (February 2021). DOI: 10.14492/hokmj/2018-910

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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Atia AFROZ. Toshizumi FUKUI. "Bifurcation of Euler buckling problem, revisited." Hokkaido Math. J. 50 (1) 111 - 150, February 2021. https://doi.org/10.14492/hokmj/2018-910

Information

Received: 5 October 2018; Revised: 10 April 2019; Published: February 2021
First available in Project Euclid: 30 July 2021

Digital Object Identifier: 10.14492/hokmj/2018-910

Subjects:
Primary: 35B32 , 58C27

Keywords: bifurcation set , hysteresis set , Sobolev space , versal unfolding

Rights: Copyright c 2021 Hokkaido University, Department of Mathematics

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Vol.50 • No. 1 • February 2021
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