Pentagram-type maps and the discrete KP equation
DOI10.1007/s00332-023-09961-7zbMath1529.37037OpenAlexW4386648944MaRDI QIDQ6074805
Publication date: 19 October 2023
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-023-09961-7
Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) General theory of linear incidence geometry and projective geometries (51A05) Lattice dynamics; integrable lattice equations (37K60) Projective analytic geometry (51N15) Cluster algebras (13F60) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)
Cites Work
- Unnamed Item
- Integrable cluster dynamics of directed networks and pentagram maps
- Liouville-Arnold integrability of the pentagram map on closed polygons
- Integrability of higher pentagram maps
- Integrability of the pentagram map
- Non-integrability vs. integrability in pentagram maps
- The pentagram map and \(Y\)-patterns
- Lattice equations, hierarchies and Hamiltonian structures
- Birkhoff strata, Bäcklund transformations, and regularization of isospectral operators
- On generalizations of the pentagram map: discretizations of AGD flows
- Continuous limits of generalized pentagram maps
- Dimers, networks, and cluster integrable systems
- Non-commutative integrability of the Grassmann pentagram map
- Vector-relation configurations and plabic graphs
- The pentagram map on Grassmannians
- The geometry of dented pentagram maps
- Pentagram maps and refactorization in Poisson-Lie groups
- Y-meshes and generalized pentagram maps
- Casorati and Discrete Gram Type Determinant Representations of Solutions to the Discrete KP Hierarchy
- The pentagram map: a discrete integrable system
- Long‐diagonal pentagram maps