New integrable Hamiltonian system with first integral quartic in momenta

We give an example of an integrable two-dimensional polynomial homogeneous potential of degree seven for which the additional polynomial first integral is of degree four in momenta. Integrable and non-separable potentials are really exceptional as till now only three such two-dimensional homogeneous...

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Bibliographic Details
Published in:Physics letters. A 2005-08, Vol.343 (1), p.171-173
Main Authors: Nakagawa, Katsuya, Maciejewski, Andrzej J., Przybylska, Maria
Format: Article
Language:English
Subjects:
Hamiltonian systems
Integrability
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Summary:We give an example of an integrable two-dimensional polynomial homogeneous potential of degree seven for which the additional polynomial first integral is of degree four in momenta. Integrable and non-separable potentials are really exceptional as till now only three such two-dimensional homogeneous potentials are known.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2005.06.018