On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom
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...
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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2010 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106647 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862558969419005952 |
|---|---|
| author | Lisitsa, V.T. |
| author_facet | Lisitsa, V.T. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | 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 have a form of the system of integral equations. It is proved that the obtained system is solvable.
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| first_indexed | 2025-11-25T22:46:26Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106647 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-25T22:46:26Z |
| publishDate | 2010 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Lisitsa, V.T. 2016-10-01T16:48:36Z 2016-10-01T16:48:36Z 2010 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. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106647 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 have a form of the system of integral equations. It is proved that the obtained system is solvable. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom Article published earlier |
| spellingShingle | On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom Lisitsa, V.T. |
| title | On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom |
| title_full | On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom |
| title_fullStr | On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom |
| title_full_unstemmed | On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom |
| title_short | On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom |
| title_sort | on the conditions of total resonance of liouville type hamiltonian systems with n degrees of freedom |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106647 |
| work_keys_str_mv | AT lisitsavt ontheconditionsoftotalresonanceofliouvilletypehamiltoniansystemswithndegreesoffreedom |