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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2015 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147143 |
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| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-147143 |
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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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System |
| spellingShingle |
Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System Chanu, C.M. Degiovanni, L. Rastelli, G. |
| title_short |
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_sort |
extended hamiltonians, coupling-constant metamorphosis and the post-winternitz system |
| author |
Chanu, C.M. Degiovanni, L. Rastelli, G. |
| author_facet |
Chanu, C.M. Degiovanni, L. Rastelli, G. |
| publishDate |
2015 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147143 |
| 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. |
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AT chanucm extendedhamiltonianscouplingconstantmetamorphosisandthepostwinternitzsystem AT degiovannil extendedhamiltonianscouplingconstantmetamorphosisandthepostwinternitzsystem AT rastellig extendedhamiltonianscouplingconstantmetamorphosisandthepostwinternitzsystem |
| first_indexed |
2025-11-30T22:44:06Z |
| last_indexed |
2025-11-30T22:44:06Z |
| _version_ |
1850858674363301888 |