46 citations · 111 across the 33 of their papers we have counts for
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math.MG2017
Imaginary triangles, Pythagorean theorems, and algebraic geometry
Sergiy Koshkin
We extend the notion of triangle to "imaginary triangles" with complex valued sides and angles, and parametrize families of such triangles by plane algebraic curves. We study in de…
physics.class-ph2017★ 3 cited
Realization of Nonholonomic Constraints and Singular Perturbation Theory for Plane Dumbbells
Sergiy Koshkin, Vojin Jovanovic
We study the dynamics of pairs of connected masses in the plane, when nonholonomic (knife-edge) constraints are realized by forces of viscous friction, in particular its relation t…
math.DS2017
Invasion waves in the presence of a mutualist
Volodymyr Hrynkiv, Sergiy Koshkin
This paper studies invasion waves in the diffusive Competitor-Competitor-Mutualist model generalizing the 2-species Lotka-Volterra model studied by Weinberger et al. The mutualist…