35 citations · 39 across the 19 of their papers we have counts for
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math.DS2013★ 1 cited
On the Plaque Expansivity Conjecture
Sergey Kryzhevich
It is one of the main properties of uniformly hyperbolic dynamics that points of two distinct trajectories cannot be uniformly close one to another. This characteristics of hyperbo…
math.DS2013
Motion of a rough disc in Newtonian aerodynamics
Sergey Kryzhevich
Dynamics of rough discs in a rarified media is considered. We study possible trajectories of centers of discs. The main result of the paper is the following: any finite rectifiable…
math.DS2013
One-dimensional chaos in a system with dry friction: analytical approach
Nikita Begun, Sergey Kryzhevich
We introduce a new analytical method, which allows to find out chaotic dynamics in non-smooth dynamical systems. A simple mechanical system consisting of a mass and a dry friction…