69 citations · 132 across the 5 of their papers we have counts for
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nlin.SI2005★ 7 cited
New periodic solutions for three or four identical vortices on a plane and a sphere
A. V. Borisov, I. S. Mamaev, A. A. Kilin
In this paper we describe new classes of periodic solutions for point vortices on a plane and a sphere. They correspond to similar solutions (so-called choreographies) in celestial…
nlin.SI2005★ 2 cited
Reduction and chaotic behavior of point vortices on a plane and a sphere
A. V. Borisov, A. A. Kilin, I. S. Mamaev
We offer a new method of reduction for a system of point vortices on a plane and a sphere. This method is similar to the classical node elimination procedure. However, as applied t…
nlin.SI2003★ 69 cited
The Rolling Motion of a Ball on a Surface. New Integrals and Hierarchy of Dynamics
A. V. Borisov, I. S. Mamaev, A. A. Kilin
The paper is concerned with the problem on rolling of a homogeneous ball on an arbitrary surface. New cases when the problem is solved by quadratures are presented. The paper also…