Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 064, 4 pages      nlin.SI/0408027      https://doi.org/10.3842/SIGMA.2006.064

On a 'Mysterious' Case of a Quadratic Hamiltonian

Sergei Sakovich
Institute of Physics, National Academy of Sciences, 220072 Minsk, Belarus

Received June 02, 2006, in final form July 18, 2006; Published online July 28, 2006

Abstract
We show that one of the five cases of a quadratic Hamiltonian, which were recently selected by Sokolov and Wolf who used the Kovalevskaya-Lyapunov test, fails to pass the Painlevé test for integrability.

Key words: Hamiltonian system; nonintegrability; singularity analysis.

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References

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