On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2010
• ISSN: 1812-9471
• Main Author: Lisitsa, V.T.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106647
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom / V.T. Lisitsa // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 3. — С. 295-304. — Бібліогр.: 13 назв. — англ.

The completely singular dynamical systems of the Liouville type are studied. The motion paths of these systems are closed graphs if the Liouville tori are compact. The conditions under which a dynamical system of the Liouville type is strongly singular are obtained in the paper. These conditions hav...