Continuous and Distributed Systems II. Theory and Applications
Vol. 30: Topological Classification of Geodesic Flows on Revolution 2-Surfaces with Potential. Springer, 2015.
Kantonistova E., Фоменко А. Т.
Global Description of Action-Angle Duality for a Poisson–Lie Deformation of theTrigonometric BCn Sutherland System
, , Annales Henri Poincare. A Journal of Theoretical and Mathematical Physics 2019 P. 1217-1262
Integrable many-body systems of Ruijsenaars–Schneider–van Diejen type displaying action-angle duality are derived by Hamiltonian reduction of the Heisenberg double of the Poisson–Lie group SU(2n). New global models of the reduced phase space are described, revealing non-trivial features of the two systems in duality with one another. For example, after establishing that the symplectic vector space ...
Added: March 7, 2019