On a 'Mysterious' Case of a Quadratic Hamiltonian
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.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2006 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146103 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862724768254394368 |
|---|---|
| author | Sakovich, S. |
| author_facet | Sakovich, S. |
| citation_txt | On a 'Mysterious' Case of a Quadratic Hamiltonian / S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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 Painlevé test for integrability.
|
| first_indexed | 2025-12-07T18:48:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146103 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:48:51Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sakovich, S. 2019-02-07T13:19:39Z 2019-02-07T13:19:39Z 2006 On a 'Mysterious' Case of a Quadratic Hamiltonian / S. Sakovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 10 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 70H07; 37J30; 34M35 https://nasplib.isofts.kiev.ua/handle/123456789/146103 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On a 'Mysterious' Case of a Quadratic Hamiltonian Article published earlier |
| spellingShingle | On a 'Mysterious' Case of a Quadratic Hamiltonian Sakovich, S. |
| title | On a 'Mysterious' Case of a Quadratic Hamiltonian |
| title_full | On a 'Mysterious' Case of a Quadratic Hamiltonian |
| title_fullStr | On a 'Mysterious' Case of a Quadratic Hamiltonian |
| title_full_unstemmed | On a 'Mysterious' Case of a Quadratic Hamiltonian |
| title_short | On a 'Mysterious' Case of a Quadratic Hamiltonian |
| title_sort | on a 'mysterious' case of a quadratic hamiltonian |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146103 |
| work_keys_str_mv | AT sakovichs onamysteriouscaseofaquadratichamiltonian |