On the method of Symes for integrating systems of the Toda type

DOI10.1007/BF00419928zbMath0521.58033OpenAlexW2053214361MaRDI QIDQ1055062

Victor W. Guillemin, Shlomo Sternberg

Publication date: 1983

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00419928

zbMATH Keywords

coadjoint orbitinvariant functiongeneralized Toda lattice

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

On the real theory of four-dimensional conformal structures, The Krichever map, vector bundles over algebraic curves, and Heisenberg algebras, Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras, A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map, Conformal and Grassmann structures, Completely integrable gradient flows, Matrix factorizations and integrable systems, Hamiltonians and zero-curvature equations for integrable partial differential equations, Classical and quantum mechanical systems of Toda-lattice type. II: Solutions of the classical flows

Cites Work

• Hamiltonian group actions and integrable systems
• The solution to a generalized Toda lattice and representation theory
• Systems of Toda type, inverse spectral problems, and representation theory
• Reduction of symplectic manifolds with symmetry
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Hamiltonian group actions and dynamical systems of calogero type
• The Toda lattice. II. Existence of integrals