On the integrability of the Hamiltonian systems with homogeneus polynomial potentials

We summarize the known results on the integrability of the complex Hamiltonian systems with two degrees of freedom defined by the Hamiltonian functions of the form H = 1/2 2 ∑ i=1 p2i + V (q1,q2), where V (q1,q2) are homogeneous polynomial potentials of degree k.

Detalles Bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Zhang, Xiang|||0000-0001-5194-4077
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:222634
Acceso en línea:https://ddd.uab.cat/record/222634
https://dx.doi.org/urn:doi:10.2478/AMNS.2018.2.00041
Access Level:acceso abierto
Palabra clave:Hamiltonian system with 2-degrees of freedom
Homogeneous polynomial potential
Integrability
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spelling On the integrability of the Hamiltonian systems with homogeneus polynomial potentialsLlibre, Jaume|||0000-0002-9511-5999Zhang, Xiang|||0000-0001-5194-4077Hamiltonian system with 2-degrees of freedomHomogeneous polynomial potentialIntegrabilityWe summarize the known results on the integrability of the complex Hamiltonian systems with two degrees of freedom defined by the Hamiltonian functions of the form H = 1/2 2 ∑ i=1 p2i + V (q1,q2), where V (q1,q2) are homogeneous polynomial potentials of degree k. 22018-01-0120182018-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/222634https://dx.doi.org/urn:doi:10.2478/AMNS.2018.2.00041reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-PMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MDM-2014-0445Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617European Commission https://doi.org/10.13039/501100000780 777911open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2226342026-06-06T12:50:31Z
dc.title.none.fl_str_mv On the integrability of the Hamiltonian systems with homogeneus polynomial potentials
title On the integrability of the Hamiltonian systems with homogeneus polynomial potentials
spellingShingle On the integrability of the Hamiltonian systems with homogeneus polynomial potentials
Llibre, Jaume|||0000-0002-9511-5999
Hamiltonian system with 2-degrees of freedom
Homogeneous polynomial potential
Integrability
title_short On the integrability of the Hamiltonian systems with homogeneus polynomial potentials
title_full On the integrability of the Hamiltonian systems with homogeneus polynomial potentials
title_fullStr On the integrability of the Hamiltonian systems with homogeneus polynomial potentials
title_full_unstemmed On the integrability of the Hamiltonian systems with homogeneus polynomial potentials
title_sort On the integrability of the Hamiltonian systems with homogeneus polynomial potentials
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Zhang, Xiang|||0000-0001-5194-4077
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Zhang, Xiang|||0000-0001-5194-4077
author_role author
author2 Zhang, Xiang|||0000-0001-5194-4077
author2_role author
dc.subject.none.fl_str_mv Hamiltonian system with 2-degrees of freedom
Homogeneous polynomial potential
Integrability
topic Hamiltonian system with 2-degrees of freedom
Homogeneous polynomial potential
Integrability
description We summarize the known results on the integrability of the complex Hamiltonian systems with two degrees of freedom defined by the Hamiltonian functions of the form H = 1/2 2 ∑ i=1 p2i + V (q1,q2), where V (q1,q2) are homogeneous polynomial potentials of degree k.
publishDate 2018
dc.date.none.fl_str_mv 2
2018-01-01
2018
2018-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/222634
https://dx.doi.org/urn:doi:10.2478/AMNS.2018.2.00041
url https://ddd.uab.cat/record/222634
https://dx.doi.org/urn:doi:10.2478/AMNS.2018.2.00041
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-P
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MDM-2014-0445
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617
European Commission https://doi.org/10.13039/501100000780 777911
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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