Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems
From MaRDI portal
Publication:4973933
DOI10.1098/rspa.2018.0761zbMath1501.37068arXiv1810.09928OpenAlexW2897644463WikidataQ90102960 ScholiaQ90102960MaRDI QIDQ4973933
Jennifer Smirin, Matteo Petrera, Yuri Borisovich Suris
Publication date: 6 December 2019
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.09928
Elliptic curves (14H52) Rational and birational maps (14E05) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)
Related Items (8)
Manin involutions for elliptic pencils and discrete integrable systems ⋮ A three-dimensional generalization of QRT maps ⋮ Growth and integrability of some birational maps in dimension three ⋮ Generalised Manin transformations and QRT maps ⋮ Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. II: Systems with a linear Poisson tensor ⋮ On the singularity structure of Kahan discretizations of a class of quadratic vector fields ⋮ How one can repair non-integrable Kahan discretizations. II: A planar system with invariant curves of degree 6 ⋮ How one can repair non-integrable Kahan discretizations
Cites Work
- Unnamed Item
- On integrability of Hirota-Kimura type discretizations
- An unconventional symplectic integrator of W. Kahan
- Discretization of the Lagrange Top
- Discretization of the Euler Top
- Integrability properties of Kahanʼs method
- On the Hamiltonian structure of Hirota-Kimura discretization of the Euler top
- On Integrability of Hirota–Kimura-Type Discretizations: Experimental Study of the Discrete Clebsch System
- Integrable maps
- Geometric properties of Kahan's method
This page was built for publication: Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems
