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pro vyhledávání: '"Lokutsievskiy, Lev"'
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 crystals, we construct a strict Lyapunov function that allows us to find a
Externí odkaz:
http://arxiv.org/abs/2406.19499
Autor:
Lokutsievskiy, Lev, Zelikin, Mikhail
This article is devoted to the long-standing problem on the smoothness of sub-Riemannian geodesics. We prove that the derivatives of sub-Riemannian geodesics are always $L_p$-H\"older continuous. Additionally, this result has several interesting impl
Externí odkaz:
http://arxiv.org/abs/2203.04956
We develop an asymptotical control theory for one of the simplest distributed (infinite dimensional) oscillating systems, namely, for a closed string under a bounded load applied to a single distinguished point. We find exact classes of string states
Externí odkaz:
http://arxiv.org/abs/2202.09087
Autor:
Lokutsievskiy, Lev, Pechen, Alexander
Publikováno v:
J. Phys. A: Math. Theor. 54, 395304 (2021)
In this work, we study controllability in the set of all density matrices for a two-level open quantum system driven by coherent and incoherent controls. In [A. Pechen, Phys. Rev. A 84, 042106 (2011)] an approximate controllability, i.e., controllabi
Externí odkaz:
http://arxiv.org/abs/2109.04384
We consider Newton's problem of minimal resistance, in particular we address the problem arising in the limit if the height goes to infinity. We establish existence of solutions and lack radial symmetry of solutions. Moreover, we show that certain co
Externí odkaz:
http://arxiv.org/abs/2009.12128
Publikováno v:
Zelikin M.I., Lokutsievskii L.V., Hildebrand, R., Typicality of Chaotic Fractal Behavior of Integral Vortices in Hamiltonian Systems with Discontinuous Right Hand Side, R. J Math Sci (2017) 221:1, pp 1-136
We consider a linear-quadratic deterministic optimal control problem where the control takes values in a two-dimensional simplex. The phase portrait of the optimal synthesis contains second-order singular extremals and exhibits modes of infinite accu
Externí odkaz:
http://arxiv.org/abs/1506.02320
Autor:
Lokutsievskiy, Lev1 (AUTHOR) lion.lokut@gmail.com, Zelikin, Mikhail2 (AUTHOR)
Publikováno v:
ESAIM: Control, Optimisation & Calculus of Variations. 2023, Vol. 29, p1-30. 30p.
Autor:
Lokutsievskiy, Lev
In this paper author proposes a construction of a universal space of type $K(\pi,1)$ such that any action (up to homotopy conjugation) of a given finite group $G$ on spaces of the same homotopy type is presented on the constructed space. Moreover, an
Externí odkaz:
http://arxiv.org/abs/1102.1577
Autor:
Lokutsievskiy, Lev
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 is obtained. Also there are some results about non-free actions. For
Externí odkaz:
http://arxiv.org/abs/1008.2980
Akademický článek
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