A three-dimensional generalization of QRT maps
From MaRDI portal
Publication:6057189
DOI10.1007/s00332-023-09976-0arXiv2207.06051MaRDI QIDQ6057189
Kangning Wei, Jaume Alonso, Yuri Borisovich Suris
Publication date: 25 October 2023
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.06051
Birational automorphisms, Cremona group and generalizations (14E07) Relationships between algebraic curves and integrable systems (14H70) Rational and birational maps (14E05) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On integrability of Hirota-Kimura type discretizations
- Manin involutions for elliptic pencils and discrete integrable systems
- Rational surfaces associated with affine root systems and geometry of the Painlevé equations
- On the Cremona transformations of bidegree (3,3)
- A new family of four-dimensional symplectic and integrable mappings
- Integrable mappings and soliton equations
- Integrable mappings and soliton equations. II
- How one can repair non-integrable Kahan discretizations. II: A planar system with invariant curves of degree 6
- Invariants in separated variables: Yang-Baxter, entwining and transfer maps
- A class of integrable and nonintegrable mappings and their dynamics
- Integrable non-QRT mappings of the plane
- Discretization of the Lagrange Top
- Discretization of the Euler Top
- How to find the conserved quantities of nonlinear discrete equations
- A classification of two-dimensional integrable mappings and rational elliptic surfaces
- Integrability properties of Kahanʼs method
- On the Hamiltonian structure of Hirota-Kimura discretization of the Euler top
- Discrete Differential Geometry
- On Integrability of Hirota–Kimura-Type Discretizations: Experimental Study of the Discrete Clebsch System
- Integrable maps
- A new class of integrable discrete systems
- Generalized Hamiltonian Dynamics
- Integrable mappings via rational elliptic surfaces
- Geometric properties of Kahan's method
- Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems
- A Lax pair of the discrete Euler top
- Geometric and integrability properties of Kahan’s method: the preservation of certain quadratic integrals
- How one can repair non-integrable Kahan discretizations
This page was built for publication: A three-dimensional generalization of QRT maps