Work

Kahan–Hirota–Kimura maps preserving original cubic Hamiltonians

Year: 2025

Type: article

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 and , extending to a family of fields in . 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.

Source: Mathematics and Computers in Simulation

DOI: 10.1016/j.matcom.2025.05.002

Authors: Víctor Mañosa, Chara Pantazi

Institution: Universitat Politècnica de Catalunya

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,170

Funders: Generalitat de Catalunya, Ministerio de Ciencia e Innovación, Agència de Gestió d'Ajuts Universitaris i de Recerca, Agencia Estatal de Investigación