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Lokutsievskiy Lev Vyacheslavovich
(full list of publications)
| by years | scientific publications | by types |



   2017
1. A.V. Arutyunov, A.V. Greshnov, L.V. Lokoutsievskii, K.V. Storozhuk, “Topological and geometrical properties of spaces with symmetric and nonsymmetric $f$-quasimetrics”, Topology Appl., 221 (2017), 178–194  mathnet  crossref  isi (cited: 2)  scopus (cited: 2)
2. M. I. Zelikin, L. V. Lokutsievskii, S. V. Skopintsev, “Ob optimalnom sbore resursa na okruzhnosti”, Matem. zametki, 102:4 (2017), 565–578  mathnet  crossref [L. V. Lokoutsievskiy, M. I. Zelikin, S. V. Skopintcev, “On optimal harvesting of a resource on a circle”, Mat. Zametki (to appear)]
3. L. V. Lokoutsievskiy, Yu. L. Sachkov, “Liouville nonintegrability of sub-Riemannian problems on step 4 free Carnot groups”, Mat. Sb., 2017 (to appear)  mathnet
4. L. V. Lokoutsievskiy, Yu. L. Sachkov, “Liouville nonintegrability of sub-Riemannian problems on free Carnot groups of step 4”, Dokl. Math., 95:3 (2017), 211–213  mathnet  crossref  crossref  isi  elib  scopus

   2015
5. M. I. Zelikin, L. V. Lokutsievskii, R. Khildebrand, “Tipichnost fraktalno-khaoticheskoi struktury integralnykh voronok v gamiltonovykh sistemakh s razryvnoi pravoi chastyu”, Optimalnoe upravlenie, SMFN, 56, RUDN, M., 2015, 5–128  mathnet (cited: 2); M. I. Zelikin, L. V. Lokutsievskii, R. Hildebrand, “Typicality of Chaotic Fractal Behavior of Integral Vortices in Hamiltonian Systems with Discontinuous Right Hand Side”, Journal of Mathematical Sciences, 221:1 (2017), 1-136 , arXiv: 1506.02320  mathnet  crossref  mathscinet (cited: 2)  scopus
6. L. V. Lokutsievskiy, “On an optimal flow in a class of nilpotent convex problems”, Proc. Steklov Inst. Math., 291 (2015), 146–169  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
7. Lev Lokutsievskiy, Vincent Runge, “Optimal control by multipoles in the Hele-Shaw problem”, J. Math. Fluid Mech., 17:2 (2015), 261–277  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2014
8. L. V. Lokutsievskii, “Singular regimes in controlled systems with multidimensional control in a polyhedron.”, Izv. Math., 78:5 (2014), 1006–1027  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
9. L. V. Lokutsievskii, “Generic structure of the Lagrangian manifold in chattering problems”, Math. Notes, 95:6 (2014), 786–794  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
10. L. V. Lokutsievskii, “The Hamiltonian property of the flow of singular trajectories”, Sb. Math., 205:3 (2014), 432–458  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2013
11. M. I. Zelikin, D. D. Kiselev, L. V. Lokutsievskii, “Optimal control and Galois theory”, Sb. Math., 204:11 (2013), 1624–1638  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
12. R. Hildebrand,L. V. Lokutsievskiy, M. I. Zelikin, “Generic Fractal Structure of Finite Parts of Trajectories of Piecewise Smooth Hamiltonian Systems”, Russ. J. Math. Phys., 20:1 (2013), 25–32  mathnet  crossref  mathscinet (cited: 3)  zmath  isi (cited: 3)  elib  scopus (cited: 3)
13. M. I. Zelikin, L. V. Lokutsievskii, R. Hildebrand, “Stochastic dynamics of lie algebras of Poisson brackets in neighborhoods of nonsmoothness points of Hamiltonians”, Dokl. Math., 87:3 (2013), 259–263  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2012
14. M. I. Zelikin, L. V. Lokutsievskiy, R. Hildebrand, “Geometry of neighborhoods of singular trajectories in problems with multidimensional control”, Proc. Steklov Inst. Math., 277 (2012), 67–83  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 4)  scopus (cited: 1)
15. L. V. Lokutsievskiy, “Fractal structure of hyperbolic Lipschitzian dynamical system”, Russ. J. Math. Phys., 19:1 (2012), 27–44  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)

   2011
16. L. V. Lokutsievskiy, “Optimal probabilistic search”, Sb. Math., 202:5 (2011), 697–719  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  scopus
17. L. V. Lokutsievskii, “Homotopy classification of actions of finite groups on aspherical spaces”, J. Math. Sci., 177:2 (2011), 244-256  crossref  mathscinet (cited: 1)  zmath  elib (cited: 1)  scopus (cited: 1)

   2008
18. I. P. Kramarev, L. V. Lokutsievskii, “Gomotopicheskie tipy gruppovykh reshëtok”, Fundament. i prikl. matem., 14:5 (2008), 103–123  mathnet  mathscinet; I. P. Kramarev, L. V. Lokutsievskiy, “Homotopy types of group lattices”, J. Math. Sci., 163:6 (2009), 694–708  crossref  mathscinet  zmath  elib  scopus
19. M. I. Zelikin, L. V. Lokutsievskii, R. A. Usachev, “Vikhrevye osobennosti optimalnykh strategii pri nachale dvizheniya v zadachakh poiska na $n$-mernykh rimanovykh mnogoobraziyakh”, Sovremennaya matematika i ee prilozheniya, 58 (2008), 56–78  mathscinet (cited: 1); M. I. Zelikin, L. V. Lokutsievskii, R. A. Usachev, “Vortex singularities of optimal strategies at the beginning of motion in search problems on $n$-dimensional Riemannian manifolds”, J. Math. Sci., 160:2 (2009), 197–220  crossref  mathscinet  zmath  scopus

   2007
20. L. V. Lokutsievskii, “Vortex singularities of optimal strategies at the beginning of a motion in search problems on $n$-manifolds”, Dokl. Math., 76:3 (2007), 869–871  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus

   2006
21. L. V. Lokutsievskii, “Nakoplenie pereklyuchenii v zadachakh poiska”, Optimalnoe upravlenie, SMFN, 19, RUDN, M., 2006, 70–77  mathnet  mathscinet (cited: 1)  zmath  elib; L. V. Lokutsievskii, “Accumulation of switchings in search problems”, J. Math. Sci., 151:6 (2008), 3497–3505  crossref  mathscinet  zmath  elib  scopus
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