Kahan–Hirota–Kimura maps preserving original cubic Hamiltonians
| dc.contributor.author | Mañosa Fernández, Víctor |
| dc.contributor.author | Pantazi, Chara |
| dc.contributor.group | Universitat Politècnica de Catalunya. UPCDS - Grup de Sistemes Dinàmics de la UPC |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2025-06-23T15:41:19Z |
| dc.date.available | 2025-06-23T15:41:19Z |
| dc.date.issued | 2025-12 |
| dc.description | © 2025 The Authors. Published by Elsevier B.V. on behalf of International Association for Mathematics and Computers in Simulation (IMACS). This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/) |
| dc.description.abstract | 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. |
| dc.description.peerreviewed | Peer Reviewed |
| dc.description.sponsorship | The authors are supported by the Ministry of Science and Innovation—State Research Agency of the Spanish Government through grant PID2022-136613NB-I00. They also acknowledge the 2021 SGR 01039 consolidated research groups recognition from Agència de Gestió d’Ajuts Universitaris i de Recerca, Generalitat de Catalunya. |
| dc.description.version | Postprint (published version) |
| dc.format.extent | 15 p. |
| dc.identifier.citation | Mañosa, V.; Pantazi, C. Kahan–Hirota–Kimura maps preserving original cubic Hamiltonians. "Mathematics and computers in simulation", Desembre 2025, vol. 238, p. 240-254. |
| dc.identifier.doi | 10.1016/j.matcom.2025.05.002 |
| dc.identifier.issn | 0378-4754 |
| dc.identifier.other | https://arxiv.org/abs/2405.01321 |
| dc.identifier.uri | https://hdl.handle.net/2117/432833 |
| dc.language.iso | eng |
| dc.publisher | Elsevier |
| dc.relation.projectid | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-136613NB-I00/ES/SISTEMAS DINAMICOS CONTINUOS Y DISCRETOS: BIFURCACIONES, ORBITAS PERIODICAS, INTEGRABILIDAD Y APLICACIONES/ |
| dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0378475425001855 |
| dc.rights.access | Open Access |
| dc.rights.licensename | Attribution-NonCommercial-NoDerivatives 4.0 International |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
| dc.subject.other | Integrable maps |
| dc.subject.other | Kahan–Hirota–Kimura discretization |
| dc.subject.other | Lie Symmetries |
| dc.subject.other | Symplectic maps |
| dc.subject.other | Hamiltonian vector fields |
| dc.title | Kahan–Hirota–Kimura maps preserving original cubic Hamiltonians |
| dc.type | Article |
| dspace.entity.type | Publication |
| local.citation.author | Mañosa, V.; Pantazi, C. |
| local.citation.endingPage | 254 |
| local.citation.publicationName | Mathematics and computers in simulation |
| local.citation.startingPage | 240 |
| local.citation.volume | 238 |
| local.identifier.drac | 42171063 |
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