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A new integrable system on the sphere | | Holger R. Dullin
; Vladimir S. Matveev
; | | Date: |
10 Jun 2004 | | Journal: | Math Research Letters, 11:715--722, 2004 | | Subject: | Dynamical Systems; Symplectic Geometry; Exactly Solvable and Integrable Systems MSC-class: 37J35; 58F07; 58F17; 70H06; 70E40 | math.DS math.SG nlin.SI | | Abstract: | We present a new Liouville-integrable natural Hamiltonian system on the (cotangent bundle of the) two-dimensional sphere. The second integral is cubic in the momenta. | | Source: | arXiv, math.DS/0406209 | | Services: | Forum | Review | PDF | Favorites | |
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