54 citations · 777 across the 87 of their papers we have counts for
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nlin.SI2015★ 4 cited
On Integrable Perturbations of Some Nonholonomic Systems
Andrey V. Tsiganov
Integrable perturbations of the nonholonomic Suslov, Veselova, Chaplygin and Heisenberg problems are discussed in the framework of the classical Bertrand-Darboux method. We study t…
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.SI2015★ 22 cited
On auto and hetero Backlund transformations for the Henon-Heiles systems
A. V. Tsiganov
We consider a canonical transformation of parabolic coordinates on the plain and suppose that this transformation together with some additional relations may be considered as a cou…