9 citations · 23 across the 3 of their papers we have counts for
3 papers
nlin.SI2015★ 6 cited
On bi-Hamiltonian formulation of the perturbed Kepler problem
Yu. A. Grigoryev, A. V. Tsiganov
The perturbed Kepler problem is shown to be a bi-Hamiltonian system in spite of the fact that the graph of the Hamilton function is not a hypersurface of translation, which is agai…
nlin.SI2010★ 9 cited
Separation of variables for the generalized Henon-Heiles system and system with quartic potential
Yu. A. Grigoryev, A. V. Tsiganov
We consider two well-known integrable systems on the plane using the concept of natural Poisson bivectors on Riemaninan manifolds. Geometric approach to construction of variables o…
nlin.SI2006★ 8 cited
On the Darboux-Nijenhuis Variables for the Open Toda Lattice
Yuriy A. Grigoryev, Andrey V. Tsiganov
We discuss two known constructions proposed by Moser and by Sklyanin of the Darboux-Nijenhuis coordinates for the open Toda lattice.