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arxiv: nlin/0408027 · v3 · submitted 2004-08-17 · 🌊 nlin.SI · math-ph· math.CA· math.DS· math.MP

On a 'Mysterious' Case of a Quadratic Hamiltonian

classification 🌊 nlin.SI math-phmath.CAmath.DSmath.MP
keywords hamiltonianquadratictestcasecasesfailsfiveintegrability
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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 Painleve test for integrability.

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