Explicit formulas for isoperimetric deformations of smooth and discrete elasticae
Author:
Affiliation:
1. Graduate School of Mathematics, Kyushu University
2. Institute of Mathematics for Industry, Kyushu University
Publisher
The Japan Society for Industrial and Applied Mathematics
Link
https://www.jstage.jst.go.jp/article/jsiaml/13/0/13_80/_pdf
Reference15 articles.
1. 1) D. A. Singer, Lectures on elastic curves and rods, Curvature and variational modeling in physics and biophysics, AIP Conf. Proc., 1002 (2008), 3-32.
2. 2) S. Matsutani, Euler's elastica and beyond, J. Geom. Symmetry Phys., 17 (2010), 45-86.
3. 3) J. Inoguchi, Plane Curves and Solitons (in Japanese), Asakura Publishing, Tokyo, 2010.
4. 4) R. E. Goldstein and D. M. Petrich, The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane, Phys. Rev. Lett., 67 (1991), 3203-3206.
5. 5) J. Inoguchi, K. Kajiwara, N. Matsuura and Y. Ohta, Motion and Bäcklund transformations of discrete plane curves, Kyushu J. Math., 66 (2012), 303-324.
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