The Twisted Top
Chaotic Dynamics
2009-11-07 v2 Mathematical Physics
Dynamical Systems
math.MP
Exactly Solvable and Integrable Systems
Abstract
We describe a new type of top, the twisted top, obtained by appending a cocycle to the Lie-Poisson bracket for the charged heavy top, thus breaking its semidirect product structure. The twisted top has an integrable case that corresponds to the Lagrange (symmetric) top. We give a canonical description of the twisted top in terms of Euler angles. We also show by a numerical calculation of the largest Lyapunov exponent that the Kovalevskaya case of the twisted top is chaotic.
Keywords
Cite
@article{arxiv.nlin/0101042,
title = {The Twisted Top},
author = {Jean-Luc Thiffeault and P. J. Morrison},
journal= {arXiv preprint arXiv:nlin/0101042},
year = {2009}
}
Comments
11 pages, 1 figure. Elsevier style. Published version with a few small corrections