On a 'Mysterious' Case of a Quadratic Hamiltonian
Abstract
Description
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.
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, Belarus
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, Belarus