Geodesic
On a “Mysterious” Case of a Quadratic Hamiltonian
Symmetry, integrability and geometry: methods and applications, Tome 2 (2006) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 Painlevé test for integrability.
Keywords: Hamiltonian system; nonintegrability; singularity analysis. 
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     author = {Sergei Sakovich},
     title = {On {a~{\textquotedblleft}Mysterious{\textquotedblright}} {Case} of {a~Quadratic} {Hamiltonian}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2006},
     volume = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2006_2_a63/}
}
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Sergei Sakovich. On a “Mysterious” Case of a Quadratic Hamiltonian. Symmetry, integrability and geometry: methods and applications, Tome 2 (2006). http://geodesic.mathdoc.fr/item/SIGMA_2006_2_a63/

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