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arXiv · 1507.01527

Elastica as a dynamical system

Larry M. Bates·Robin Chhabra·Jedzrej Sniatycki
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Abstract

The elastica is a curve in $\R^3$ 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.

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Larry M. Bates, Robin Chhabra, Jedzrej Sniatycki. 2015-07-06. Elastica as a dynamical system. https://doi.org/10.1016/j.geomphys.2016.09.001

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