• Corpus ID: 119603972

A combinatorial approach to integrals of Kahan-Hirota-Kimura discretizations

@article{Zander2016ACA,
  title={A combinatorial approach to integrals of Kahan-Hirota-Kimura discretizations},
  author={Ren'e Zander},
  journal={arXiv: Exactly Solvable and Integrable Systems},
  year={2016}
}
  • Ren'e Zander
  • Published 8 November 2016
  • Mathematics
  • arXiv: Exactly Solvable and Integrable Systems
We consider an Ansatz for the study of the existence of formal integrals of motion for Kahan-Hirota-Kimura discretizations. In this context, we give a combinatorial proof of the formula of Celledoni-McLachlan-Owren-Quispel for an integral of motion of the discretization in the case of cubic Hamiltonian systems on symplectic vector spaces and Poisson vector spaces with constant Poisson structure. 

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