Integrability of the double pendulum -- the Ramis' question
Dynamical Systems
2016-04-01 v2
Abstract
In this short note we address the problem of integrability of a double pendulum in the constant gravity field. We show its non-integrability using the combination of algebraic and numerical approaches, namely we compute the non-commuting generators of the monodromy group along a particular solution obtained numerically.
Cite
@article{arxiv.1303.4904,
title = {Integrability of the double pendulum -- the Ramis' question},
author = {Vladimir Salnikov},
journal= {arXiv preprint arXiv:1303.4904},
year = {2016}
}
Comments
short note, 2 figures, some typos corrected