Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System
The coupling-constant metamorphosis is applied to modified extended Hamiltonians and sufficient conditions are found in order that the transformed high-degree first integral of the transformed Hamiltonian is determined by the same algorithm which computes the corresponding first integral of the orig...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2015 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2015
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147143 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System / C.M. Chanu, L. Degiovanni, G. Rastelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 22 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862637295719415808 |
|---|---|
| author | Chanu, C.M. Degiovanni, L. Rastelli, G. |
| author_facet | Chanu, C.M. Degiovanni, L. Rastelli, G. |
| citation_txt | Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System / C.M. Chanu, L. Degiovanni, G. Rastelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The coupling-constant metamorphosis is applied to modified extended Hamiltonians and sufficient conditions are found in order that the transformed high-degree first integral of the transformed Hamiltonian is determined by the same algorithm which computes the corresponding first integral of the original extended Hamiltonian. As examples, we consider the Post-Winternitz system and the 2D caged anisotropic oscillator.
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| first_indexed | 2025-11-30T22:44:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147143 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-30T22:44:06Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Chanu, C.M. Degiovanni, L. Rastelli, G. 2019-02-13T17:26:32Z 2019-02-13T17:26:32Z 2015 Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System / C.M. Chanu, L. Degiovanni, G. Rastelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 22 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37J35; 70H33 DOI:10.3842/SIGMA.2015.094 https://nasplib.isofts.kiev.ua/handle/123456789/147143 The coupling-constant metamorphosis is applied to modified extended Hamiltonians and sufficient conditions are found in order that the transformed high-degree first integral of the transformed Hamiltonian is determined by the same algorithm which computes the corresponding first integral of the original extended Hamiltonian. As examples, we consider the Post-Winternitz system and the 2D caged anisotropic oscillator. This paper is a contribution to the Special Issue on Analytical Mechanics and Dif ferential Geometry in honour
 of Sergio Benenti. The full collection is available at http://www.emis.de/journals/SIGMA/Benenti.html. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System Article published earlier |
| spellingShingle | Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System Chanu, C.M. Degiovanni, L. Rastelli, G. |
| title | Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System |
| title_full | Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System |
| title_fullStr | Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System |
| title_full_unstemmed | Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System |
| title_short | Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System |
| title_sort | extended hamiltonians, coupling-constant metamorphosis and the post-winternitz system |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147143 |
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