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A construction of a large family of commuting pairs of integrable symplectic birational four-dimensional maps

We give a construction of completely integrable four-dimensional Hamiltonian systems with cubic Hamilton functions. Applying to the corresponding pairs of commuting quadratic Hamiltonian vector fields the so called Kahan–Hirota–Kimura discretization scheme, we arrive at pairs of birational four-dime...

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Detalhes bibliográficos
Publicado no:Proc Math Phys Eng Sci
Main Authors: Petrera, Matteo, Suris, Yuri B.
Formato: Artigo
Idioma:Inglês
Publicado em: The Royal Society Publishing 2017
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC5332606/
https://ncbi.nlm.nih.gov/pubmed/28293131
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1098/rspa.2016.0535
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