Mathematical Research Letters

Volume 11, Issue 6, November 2004 pp. 715-722.

A new integrable system on the sphere

Authors: Holger R. Dullin and Vladimir S. Matveev
Author institution: Loughborough University, and Universität Freiburg

Summary: We present a new Liouville-integrable natural Hamiltonian system on the (cotangent bundle of the) sphere $S^2$. The second integral is cubic in the momenta.

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