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,...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:313598 |
| Acceso en línea: | https://ddd.uab.cat/record/313598 https://dx.doi.org/urn:doi:10.1016/j.matcom.2025.05.002 |
| Access Level: | acceso abierto |
| Palabra clave: | Integrable maps Kahan-Hirota-Kimura discretization Lie Symmetries Symplectic maps Hamiltonian vector fields |
| Sumario: | 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. |
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