308 citations · 310 across the 4 of their papers we have counts for
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math.DS2017★ 1 cited
Topological approach to the generalized -center problem
Sergey Bolotin, Valery Kozlov
We consider a natural Hamiltonian system with two degrees of freedom and Hamiltonian . The configuration space is a closed surface (for noncompact certain…
math.DS2016
Degenerate billiards
Sergey Bolotin
In an ordinary billiard system trajectories of a Hamiltonian system are elastically reflected after a collision with a hypersurface (scatterer). If the scatterer is a submanifold o…
math.DS2011★ 1 cited
Variational approach to second species periodic solutions of Poincaré of the 3 body problem
Sergey Bolotin, Piero Negrini
We consider the plane 3 body problem with 2 of the masses small. Periodic solutions with near collisions of small bodies were named by Poincaré second species periodic solutions. S…