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The Twisted Top

Jean-Luc Thiffeault·P. J. Morrison
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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.

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BibTeXRIS

Jean-Luc Thiffeault, P. J. Morrison. 2001-05-28. The Twisted Top. https://doi.org/10.1016/s0375-9601(01)00253-5

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