Experimental Mathematics

The first bifurcation point for Delaunay nodoids

Wayne Rossman

Full-text: Open access

Abstract

We give two numerical methods for computing the first bifurcation point for Delaunay nodoids. With regard to methods for constructing constant mean curvature surfaces, we conclude that the bifurcation point in the analytic method of Mazzeo-Pacard is the same as a limiting point encountered in the integrable systems method of Dorfmeister-Pedit-Wu.

Article information

Source
Experiment. Math., Volume 14, Issue 3 (2005), 331-342.

Dates
First available in Project Euclid: 3 October 2005

Permanent link to this document
https://projecteuclid.org/euclid.em/1128371758

Mathematical Reviews number (MathSciNet)
MR2172711

Zentralblatt MATH identifier
1092.53010

Subjects
Primary: 53A10: Minimal surfaces, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42]

Keywords
Delaunay surfaces constant mean curvature bifurcation

Citation

Rossman, Wayne. The first bifurcation point for Delaunay nodoids. Experiment. Math. 14 (2005), no. 3, 331--342. https://projecteuclid.org/euclid.em/1128371758


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