On the singularity structure of Kahan discretizations of a class of quadratic vector fields

DOI10.1007/s40879-021-00479-4zbMath1489.37081arXiv2003.01659OpenAlexW3176942331MaRDI QIDQ2049056

René Zander

Publication date: 24 August 2021

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01659

zbMATH Keywords

elliptic curvebirational mapintegrable mapelliptic pencil

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70) Rational and birational maps (14E05) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)

Related Items (1)

How one can repair non-integrable Kahan discretizations. II: A planar system with invariant curves of degree 6

Cites Work

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