On the analytic non-integrability of the Rattleback problem
Dynamical Systems
2013-06-25 v1 Mathematical Physics
math.MP
Abstract
We establish the analytic non-integrability of the nonholonomic ellipsoidal rattleback model for a large class of parameter values. Our approach is based on the study of the monodromy group of the normal variational equations around a particular orbit. The embedding of the equations of the heavy rigid body into the rattleback model is discussed.
Cite
@article{arxiv.math/0610305,
title = {On the analytic non-integrability of the Rattleback problem},
author = {Holger R. Dullin and Alexei Tsygvintsev},
journal= {arXiv preprint arXiv:math/0610305},
year = {2013}
}
Comments
20 pages