Towards a classification of natural bi-hamiltonian systems

Abstract

For construction and classification of the natural integrable systems we propose to use a criterion of separability in Darboux--Nijenhuis coordinates, which can be tested without an a priori explicit knowledge of these coordinates.

LaTeX 22 pages

References in corpus (6)

• Quasi-BiHamiltonian Systems and Separability
• On the Drach superintegrable systems
• Bihamiltonian geometry and separation of variables for Toda lattices
• Separation of variables for bi-Hamiltonian systems
• Symbolic software for separation of variables in the Hamilton-Jacobi equation for the L-systems
• The quasi-bi-Hamiltonian formulation of the Lagrange top

Cited by in corpus (3)

• On algebraic construction of certain integrable and super-integrable systems
• On bi-integrable natural Hamiltonian systems on the Riemannian manifolds
• Separation of variables for the generalized Henon-Heiles system and system with quartic potential