1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DG2025
Finsler and sub-Finsler geodesics with chattering
L. V. Lokutsievskiy, M. I. Zelikin
In this paper, we provide examples of Finsler and sub-Finsler manifolds whose geodesics exhibit chattering, that is, a countable number of switches over an arbitrarily small time i…
math.DS2024
Strict Lyapunov functions and energy decay in Hamiltonian chains with degenerate damping
Andrey Dymov, Lev Lokutsievskiy, Andrey Sarychev
We consider a Hamiltonian chain of rotators (in general nonlinear) in which the first rotator is damped. Being motivated by problems of nonequilibrium statistical mechanics of crys…
math.GN2010★ 1 cited
Homotopy classification of finite group actions on aspherical spaces
Lev Lokutsievskiy
The author proposes a method for investigating actions of finite groups on aspherical spaces. Complete homotopy classification of free actions of finite groups on aspherical spaces…