The Twisted Top
arXiv:nlin/0101042 · doi:10.1016/S0375-9601(01)00253-5
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.
11 pages, 1 figure. Elsevier style. Published version with a few small corrections
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