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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 064, 4 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.064 (Mi sigma92) 		 
On a “Mysterious” Case of a Quadratic Hamiltonian

Sergei Sakovich

Institute of Physics, National Academy of Sciences, 220072 Minsk, Belarus
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DOI: https://doi.org/10.3842/SIGMA.2006.064
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.
Keywords: Hamiltonian system; nonintegrability; singularity analysis.
Received: June 2, 2006; in final form July 18, 2006; Published online July 28, 2006
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Document Type: Article
MSC: 70H07; 37J30; 34M35
Language: English
Citation: Sergei Sakovich, “On a “Mysterious” Case of a Quadratic Hamiltonian”, SIGMA, 2 (2006), 064, 4 pp.
Citation in format AMSBIB
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