Elastica as a dynamical system
arXiv:1507.01527 · doi:10.1016/j.geomphys.2016.09.001
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.
55 pages