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arxiv: nlin/0101042 · v2 · submitted 2001-01-23 · 🌊 nlin.CD · math-ph· math.DS· math.MP· nlin.SI

The Twisted Top

Jean-Luc Thiffeault (1) , P. J. Morrison (2) ((1) Dept. of Applied Physics , Applied Math. , Columbia University , New York (2) Institute for Fusion Studies , Dept. of Physics , University of Texas , Austin) This is my paper
classification 🌊 nlin.CD math-phmath.DSmath.MPnlin.SI
keywords twistedcaseanglesappendingbracketbreakingcalculationcanonical
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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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