2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159551We 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.Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ Presented at the XIII Annual Seminar 'Nonlinear Phenomena in Complex Systems', May 16-19, 2006, Minsk, BelarusExactly Solvable and Integrable SystemsMathematical PhysicsClassical Analysis and ODEsDynamical SystemsOn a 'Mysterious' Case of a Quadratic Hamiltoniantext