On integrable deformations of the spherical top

Abstract

The motion on the sphere $S^2$ with the potential $V=(x_1{x}_2{x}_3{)}^{-2/3}$ is considered. The Lax representation and the linearisation procedure for this two-dimensional integrable system are discussed.

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References in corpus (1)

• High energy QCD as a completely integrable model

Cited by in corpus (3)

• On natural Poisson bivectors on the sphere
• The Twisted Top
• On integrable system on $S^2$ with the second integral quartic in the momenta