On the duality between the hyperbolic Sutherland and the rational Ruijsenaars-Schneider models. (English) Zbl 1168.37016
The authors investigate the following two problems: (1) the spectral invariants of the hyperbolic Sutherland and of the rational Ruijsenaars-Schneider Lax matrices respectively, and (2) the duality symplectomorphism using direct methods.
Reviewer: Hu Chuangan (San Jose)
MSC:
| 37J10 | Symplectic mappings, fixed points (dynamical systems) (MSC2010) |
| 37J35 | Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests |
| 37J45 | Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010) |
