On a 'Mysterious' Case of a Quadratic Hamiltonian

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• ISSN: 1815-0659
• Main Author: Sakovich, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146103
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On a 'Mysterious' Case of a Quadratic Hamiltonian / S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 10 назв. — англ.

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.