A new integrable system on the sphere

Dullin, Holger R.; Matveev, Vladimir S.

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A new integrable system on the sphere

preprint

posted on 2005-07-21, 14:43 authored by Holger R. Dullin, Vladimir S. Matveev

We present a new Liouville-integrable natural Hamiltonian system on the (cotangent bundle of the) sphere S2. The second integral is cubic in the momenta.

History

School

Science

Department

Mathematical Sciences

Pages

171420 bytes

Publication date

2004

Notes

This pre-print has been submitted, and accepted, to the journal, Mathematical Research Letters. The definitive version: DULLIN, H.R. and MATVEEV, V.S., 2004. A new integrable system on the sphere. Mathematical Research Letters, 11(5-6),pp. 715-722.