Algebraic integrability and geometry of the \(\mathfrak{d}_3^{(2)}\) Toda lattice

DOI10.1134/S1560354711030087zbMath1280.37051MaRDI QIDQ691181

Djagwa Dehainsala

Publication date: 30 November 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

integrable systemsToda latticeabelian surfacealgebraic integrability

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70)

Related Items

Intermediate Toda systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geodesic flow on \(SO(4)\) and Abelian surfaces
• Linearization of Hamiltonian systems, Jacobi varieties and representation theory
• Completely integrable systems, Euclidean Lie algebras, and curves
• The spectrum of difference operators and algebraic curves
• The Toda lattice, Dynkin diagrams, singularities and Abelian varieties
• Linearising two-dimensional integrable systems and the construction of action-angle variables
• A complete solution of the periodic Toda problem
• Integrals of the Toda lattice
• The Toda lattice. II. Existence of integrals
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• Integrable systems in the realm of algebraic geometry.