Volume 1, Issue 1, 2020, Pages 33 - 40
Classification of Planar Anisotropic Elasticae
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Authors
Bennett Palmer*, Álvaro Pámpano†
Department of Mathematics, Idaho State University, Pocatello, ID 83209, USA
†
Additional information: Department of Mathematics, University of the Basque Country, Bilbao, Bizkaia 48060, Spain
*
Corresponding author. Email: palmbenn@isu.edu
Corresponding Author
Bennett Palmer
Article History
Received 12 September 2019Accepted 2 December 2019
Available Online 2 March 2020
- DOI
- https://doi.org/10.2991/gaf.k.200124.003
- Keywords
- Anisotropic
elastica
lemniscate - Abstract
We classify the anisotropic elastic curves modulo rescaling and quasi-rotation depending on one parameter for an ample family of anisotropic functionals. Several illustrations of this classification are shown at the end.
- Copyright
- © 2020 The Authors. Published by Atlantis Press SARL.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite This Article
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TY - JOUR AU - Bennett Palmer AU - Álvaro Pámpano PY - 2020 DA - 2020/03/02 TI - Classification of Planar Anisotropic Elasticae JO - Growth and Form SP - 33 EP - 40 VL - 1 IS - 1 SN - 2589-8426 UR - https://doi.org/10.2991/gaf.k.200124.003 DO - https://doi.org/10.2991/gaf.k.200124.003 ID - Palmer2020 ER -
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