On a 'Mysterious' Case of a Quadratic Hamiltonian
Exactly Solvable and Integrable Systems
2008-04-24 v3 Mathematical Physics
Classical Analysis and ODEs
Dynamical Systems
math.MP
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 Painleve test for integrability.
Cite
@article{arxiv.nlin/0408027,
title = {On a 'Mysterious' Case of a Quadratic Hamiltonian},
author = {Sergei Sakovich},
journal= {arXiv preprint arXiv:nlin/0408027},
year = {2008}
}
Comments
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