Detecting and determining preserved measures and integrals of birational maps

DOI10.3934/jcd.2022014zbMath1505.37075arXiv1902.04685OpenAlexW4285165472WikidataQ114022581 ScholiaQ114022581MaRDI QIDQ2093493

Charalambos Evripidou, Elena Celledoni, Brynjulf Owren, Benjamin K. Tapley, Gilles Reinout Willem Quispel, David I. McLaren

Publication date: 8 November 2022

Published in: Journal of Computational Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04685

zbMATH Keywords

Darboux polynomialsKahan's methoddiscrete integrabilitypreservation of measures and integrals

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Rational and birational maps (14E05) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Integrable difference and lattice equations; integrability tests (39A36) Computational methods for invariant manifolds of dynamical systems (37M21) Completely integrable discrete dynamical systems (37J70)

Related Items (4)

Birational maps from polarization and the preservation of measure and integrals ⋮ On the preservation of second integrals by Runge-Kutta methods ⋮ The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators ⋮ The Lie derivative and Noether's theorem on the aromatic bicomplex for the study of volume-preserving numerical integrators

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