Kahan-Hirota-Kimura maps preserving original cubic Hamiltonians

We study the class of cubic Hamiltonian vector fields whose associated Kahan-Hirota-Kimura (KHK) maps preserve the original Hamiltonian function. Our analysis focuses on these fields in R2 and R4, extending to a family of fields in R6. Additionally, we investigate various properties of these fields,...

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Autores: Mañosa Fernández, Víctor|||0000-0002-5082-3334, Pantazi, Chara|||0000-0002-4394-404X
Formato: artículo
Fecha de publicación:2025
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:313598
Acesso em linha:https://ddd.uab.cat/record/313598
https://dx.doi.org/urn:doi:10.1016/j.matcom.2025.05.002
Access Level:acceso abierto
Palavra-chave:Integrable maps
Kahan-Hirota-Kimura discretization
Lie Symmetries
Symplectic maps
Hamiltonian vector fields
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spelling Kahan-Hirota-Kimura maps preserving original cubic HamiltoniansMañosa Fernández, Víctor|||0000-0002-5082-3334Pantazi, Chara|||0000-0002-4394-404XIntegrable mapsKahan-Hirota-Kimura discretizationLie SymmetriesSymplectic mapsHamiltonian vector fieldsWe study the class of cubic Hamiltonian vector fields whose associated Kahan-Hirota-Kimura (KHK) maps preserve the original Hamiltonian function. Our analysis focuses on these fields in R2 and R4, extending to a family of fields in R6. Additionally, we investigate various properties of these fields, including the existence of additional first integrals of a specific type, their role as Lie symmetries of the corresponding KHK map, and the symplecticity of these maps. 22025-01-0120252025-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/313598https://dx.doi.org/urn:doi:10.1016/j.matcom.2025.05.002reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2022-136613NB-I00Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2021/SGR-01039open 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, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:3135982026-06-06T12:50:31Z
dc.title.none.fl_str_mv Kahan-Hirota-Kimura maps preserving original cubic Hamiltonians
title Kahan-Hirota-Kimura maps preserving original cubic Hamiltonians
spellingShingle Kahan-Hirota-Kimura maps preserving original cubic Hamiltonians
Mañosa Fernández, Víctor|||0000-0002-5082-3334
Integrable maps
Kahan-Hirota-Kimura discretization
Lie Symmetries
Symplectic maps
Hamiltonian vector fields
title_short Kahan-Hirota-Kimura maps preserving original cubic Hamiltonians
title_full Kahan-Hirota-Kimura maps preserving original cubic Hamiltonians
title_fullStr Kahan-Hirota-Kimura maps preserving original cubic Hamiltonians
title_full_unstemmed Kahan-Hirota-Kimura maps preserving original cubic Hamiltonians
title_sort Kahan-Hirota-Kimura maps preserving original cubic Hamiltonians
dc.creator.none.fl_str_mv Mañosa Fernández, Víctor|||0000-0002-5082-3334
Pantazi, Chara|||0000-0002-4394-404X
author Mañosa Fernández, Víctor|||0000-0002-5082-3334
author_facet Mañosa Fernández, Víctor|||0000-0002-5082-3334
Pantazi, Chara|||0000-0002-4394-404X
author_role author
author2 Pantazi, Chara|||0000-0002-4394-404X
author2_role author
dc.subject.none.fl_str_mv Integrable maps
Kahan-Hirota-Kimura discretization
Lie Symmetries
Symplectic maps
Hamiltonian vector fields
topic Integrable maps
Kahan-Hirota-Kimura discretization
Lie Symmetries
Symplectic maps
Hamiltonian vector fields
description We study the class of cubic Hamiltonian vector fields whose associated Kahan-Hirota-Kimura (KHK) maps preserve the original Hamiltonian function. Our analysis focuses on these fields in R2 and R4, extending to a family of fields in R6. Additionally, we investigate various properties of these fields, including the existence of additional first integrals of a specific type, their role as Lie symmetries of the corresponding KHK map, and the symplecticity of these maps.
publishDate 2025
dc.date.none.fl_str_mv 2
2025-01-01
2025
2025-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/313598
https://dx.doi.org/urn:doi:10.1016/j.matcom.2025.05.002
url https://ddd.uab.cat/record/313598
https://dx.doi.org/urn:doi:10.1016/j.matcom.2025.05.002
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2022-136613NB-I00
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2021/SGR-01039
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/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/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
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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