Elastica as a dynamical system
Differential Geometry
2016-11-23 v1
Abstract
The elastica is a curve in that is stationary under variations of the integral of the square of the curvature. Elastica is viewed as a dynamical system that arises from the second order calculus of variations, and its quantization is discussed.
Cite
@article{arxiv.1507.01527,
title = {Elastica as a dynamical system},
author = {Larry M. Bates and Robin Chhabra and Jedzrej Sniatycki},
journal= {arXiv preprint arXiv:1507.01527},
year = {2016}
}
Comments
55 pages