Non-integrability of flail triple pendulum
Chaotic Dynamics
2013-08-01 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We consider a special type of triple pendulum with two pendula attached to end mass of another one. Although we consider this system in the absence of the gravity, a quick analysis of of Poincar\'e cross sections shows that it is not integrable. We give an analytic proof of this fact analysing properties the of differential Galois group of variational equation along certain particular solutions of the system.
Cite
@article{arxiv.1211.6045,
title = {Non-integrability of flail triple pendulum},
author = {Maria Przybylska and Wojciech Szumiński},
journal= {arXiv preprint arXiv:1211.6045},
year = {2013}
}
Comments
22 pages, 13 figures