69 citations · 132 across the 5 of their papers we have counts for
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nlin.CD2005★ 19 cited
Stability of Thomson's Configurations of Vortices on a Sphere
A. V. Borisov, A. A. Kilin
In this work stability of polygonal configurations on a plane and sphere is investigated. The conditions of linear stability are obtained. A nonlinear analysis of the problem is ma…
nlin.CD2005★ 35 cited
Dynamics of rolling disk
A. V. Borisov, I. S. Mamaev, A. A. Kilin
In the paper we present the qualitative analysis of rolling motion without slipping of a homogeneous round disk on a horisontal plane. The problem was studied by S.A. Chaplygin, P.…