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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Дата: | 2015 |
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Автори: | , , |
Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2015
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Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
Онлайн доступ: | http://dspace.nbuv.gov.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. |
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irk-123456789-1471432019-02-14T01:26:13Z Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System Chanu, C.M. Degiovanni, L. Rastelli, G. 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. 2015 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147143 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
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. |
format |
Article |
author |
Chanu, C.M. Degiovanni, L. Rastelli, G. |
spellingShingle |
Chanu, C.M. Degiovanni, L. Rastelli, G. Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System Symmetry, Integrability and Geometry: Methods and Applications |
author_facet |
Chanu, C.M. Degiovanni, L. Rastelli, G. |
author_sort |
Chanu, C.M. |
title |
Extended Hamiltonians, Coupling-Constant Metamorphosis and the Post-Winternitz System |
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 |
publisher |
Інститут математики НАН України |
publishDate |
2015 |
url |
http://dspace.nbuv.gov.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. |
series |
Symmetry, Integrability and Geometry: Methods and Applications |
work_keys_str_mv |
AT chanucm extendedhamiltonianscouplingconstantmetamorphosisandthepostwinternitzsystem AT degiovannil extendedhamiltonianscouplingconstantmetamorphosisandthepostwinternitzsystem AT rastellig extendedhamiltonianscouplingconstantmetamorphosisandthepostwinternitzsystem |
first_indexed |
2023-05-20T17:26:42Z |
last_indexed |
2023-05-20T17:26:42Z |
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1796153310237949952 |