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Kozlov Valery Vasil'evich
(recent publications)
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1. V. V. Kozlov, Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Tr. Mat. Inst. Steklova, 306, Steklov Math. Inst. RAS, Moscow, 2019 (to appear)  mathnet
2. V. V. Kozlov, “Tensor invariants and integration of differential equations”, Russian Math. Surveys, 74:1 (2019), 111–140  mathnet  crossref  crossref  adsnasa  isi  elib  scopus
3. I. V. Volovich, V. V. Kozlov, Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Tr. Mat. Inst. Steklova, 306, Steklov Math. Inst. RAS, Moscow, 2019 (to appear)  mathnet

4. Valery V. Kozlov, “Linear Hamiltonian Systems: Quadratic Integrals, Singular Subspaces and Stability”, Regul. Chaotic Dyn., 23:1 (2018), 26–46  mathnet (cited: 2)  crossref  mathscinet  isi (cited: 3)  scopus (cited: 4)
5. V. V. Kozlov, “Multi-Hamiltonian property of a linear system with quadratic invariant”, Algebra i Analiz, 30:5 (2018), 159–168  mathnet
6. V. V. Kozlov, O. G. Smolyanov, “Two Theorems on Isomorphisms of Measure Spaces”, Math. Notes, 104:5 (2018), 758–761  mathnet  crossref  crossref  isi  elib  scopus
7. V. V. Kozlov, “The Monge problem of “piles and holes” on the torus and the problem of small denominators”, Siberian Math. J., 59:6 (2018), 1090–1093  mathnet  crossref  crossref  isi  scopus
8. V. V. Kozlov, O. G. Smolyanov, “Hamiltonian approach to secondary quantization”, Dokl. Math., 98:3 (2018), 571–574  mathnet  crossref  crossref  isi  elib  scopus
9. V. V. Kozlov, D. V. Treschev, “Instability, asymptotic trajectories and dimension of the phase space”, Mosc. Math. J., 18:4 (2018), 681–692  mathnet  crossref  isi  scopus

10. Valery Kozlov, Ivan Polekhin, “On the covering of a Hill’s region by solutions in systems with gyroscopic forces”, Nonlinear Anal., 148 (2017), 138–146  mathnet  crossref  mathscinet  isi (cited: 3)  scopus (cited: 3)
11. V. V. Kozlov, “Cauchy's mean value theorem and continued fractions”, Russian Math. Surveys, 72:1 (2017), 182–184  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
12. Valery Kozlov, Ivan Polekhin, “On the covering of a Hill's region by solutions in the restricted three-body problem”, Celest. Mech. Dyn. Astr., 127:3 (2017), 331–341  mathnet  crossref  mathscinet  isi (cited: 3)  elib  scopus (cited: 3)
13. S. V. Bolotin, V. V. Kozlov, “Topological approach to the generalized $n$-centre problem”, Russian Math. Surveys, 72:3 (2017), 451–478  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 3)  elib  scopus
14. S. V. Bolotin, V. V. Kozlov, “Topology, singularities and integrability in Hamiltonian systems with two degrees of freedom”, Izv. Math., 81:4 (2017), 671–687  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib  elib  scopus (cited: 1)
15. V. V. Kozlov, “A summation formula for divergent continued fractions”, Dokl. Math., 95:3 (2017), 240–242  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
16. V. V. Kozlov, “On Real Solutions of the Systems of Equations”, Funct. Anal. Appl., 51:4 (2017), 306–309  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1)
17. V. V. Kozlov, “Symplectic geometry of a linear transformation with a quadratic invariant”, Dokl. Math., 96:3 (2017), 625–627  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
18. V. V. Kozlov, “On reversibility in systems with a non-compact configuration space and non-negative potential energy”, J. Appl. Math. Mech., 81:4 (2017), 250–255  mathnet  crossref  mathscinet  isi  elib  scopus

19. V. V. Kozlov, “Invariant measures of smooth dynamical systems, generalized functions and summation methods”, Izv. Math., 80:2 (2016), 342–358  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  elib  elib  scopus (cited: 4)
20. V. V. Kozlov, “Polynomial conservation laws for the Lorentz gas and the Boltzmann–Gibbs gas”, Russian Math. Surveys, 71:2 (2016), 253–290  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib  elib  scopus (cited: 3)
21. Valery Kozlov, “The phenomenon of reversal in the Euler–Poincaré–Suslov nonholonomic systems”, J. Dyn. Control Syst., 22:4 (2016), 713–724  mathnet (cited: 3)  crossref  mathscinet  zmath  isi (cited: 6)  elib  scopus (cited: 5)
22. V. V. Kozlov, “On the equations of the hydrodynamic type”, J. Appl. Math. Mech., 80:3 (2016), 209–214  mathnet  crossref  mathscinet  isi (cited: 2)  elib  elib  scopus (cited: 2)
23. V. V. Kozlov, D. V. Treschev, “Topology of the configuration space, singularities of the potential, and polynomial integrals of equations of dynamics”, Sb. Math., 207:10 (2016), 1435–1449  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 5)  elib  scopus (cited: 3)
24. Valery V. Kozlov, “On the Extendability of Noether’s Integrals for Orbifolds of Constant Negative Curvature”, Regul. Chaotic Dyn., 21:7-8 (2016), 821–831  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)

25. V. V. Kozlov, A. P. Buslaev, A. G. Tatashev, “A dynamical communication system on a network”, J. Comput. Appl. Math., 275 (2015), 247–261  mathnet (cited: 2)  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 4)  scopus (cited: 9)
26. V. V. Kozlov, A. P. Buslaev, A. G. Tatashev, M. V. Yashina, “Dynamical systems on honeycombs”, Traffic and granular flow '13, Springer, 2015, 441–452  mathnet  crossref  isi (cited: 2)  scopus (cited: 5)
27. V. V. Kozlov, A. P. Buslaev, A. G. Tatashev, “Monotonic walks on a necklace and a coloured dynamic vector”, Int. J. Comput. Math., 92:9 (2015), 1910–1920  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 7)  elib (cited: 1)  scopus (cited: 8)  scopus (cited: 8)
28. Valery V. Kozlov, “Principles of dynamics and servo-constraints”, Nelin. Dinam., 11:1 (2015), 169–178  mathnet  elib
29. V. V. Kozlov, A. P. Buslaev, A. G. Tatashev, “On real-valued oscillations of a bipendulum”, Appl. Math. Lett., 46 (2015), 44–49  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 1)  scopus
30. Valery V. Kozlov, “The dynamics of systems with servoconstraints. I”, Regul. Chaotic Dyn., 20:3 (2015), 205–224  mathnet (cited: 10)  mathnet (cited: 10)  crossref  mathscinet  zmath  adsnasa  isi (cited: 10)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 15)
31. V. V. Kozlov, “Coarsening in ergodic theory”, Russ. J. Math. Phys., 22:2 (2015), 184–187  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
32. V. V. Kozlov, “Rational integrals of quasi-homogeneous dynamical systems”, J. Appl. Math. Mech., 79:3 (2015), 209–216  mathnet  crossref  mathscinet  isi (cited: 8)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 7)
33. S. V. Bolotin, V. V. Kozlov, “Calculus of variations in the large, existence of trajectories in a domain with boundary, and Whitney's inverted pendulum problem”, Izv. Math., 79:5 (2015), 894–901  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 6)  elib  elib  scopus (cited: 5)
34. V. V. Kozlov, “The dynamics of systems with servoconstraints. II”, Regul. Chaotic Dyn., 20:4 (2015), 401–427  mathnet (cited: 5)  mathnet (cited: 5)  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib (cited: 2)  scopus (cited: 7)
35. V. V. Kozlov, O. G. Smolyanov, “Invariant and quasi-invariant measures on infinite-dimensional spaces”, Dokl. Math., 92:3 (2015), 743–746  mathnet  crossref  crossref  isi (cited: 2)  elib  scopus (cited: 2)
36. A. S. Bugaev, A. P. Buslaev, V. V. Kozlov, A. G. Tatashev, M. V. Yashina, “Generalized transport-logistic problem as class of dynamical systems”, Matem. Mod., 27:12 (2015), 65–87  mathnet  elib
37. I. A. Bizyaev, V. V. Kozlov, “Homogeneous systems with quadratic integrals, Lie-Poisson quasibrackets, and Kovalevskaya's method”, Sb. Math., 206:12 (2015), 1682–1706  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 4)  elib  scopus (cited: 3)

38. Yu. Fedorov, V. V. Kozlov, A memoir on integrable systems, Springer Monogr. Math., Springer, Berlin, 2014 , 480 pp.  zmath
39. V. V. Kozlov, “Liouville's equation as a Schrödinger equation”, Izv. Math., 78:4 (2014), 744–757  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
40. V. V. Kozlov, “Remarks on integrable systems”, Regul. Chaotic Dyn., 19:2 (2014), 145–161  mathnet (cited: 3)  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 5)  scopus (cited: 4)
41. V. V. Kozlov, “Conservation laws of generalized billiards that are polynomial in momenta”, Russ. J. Math. Phys., 21:2 (2014), 226–241  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 1)  scopus (cited: 4)
42. V. V. Kozlov, “The dynamics of systems with large gyroscopic forces and the realization of constraints”, J. Appl. Math. Mech., 78:3 (2014), 213–219  mathnet  crossref  mathscinet  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
43. V. V. Kozlov, “Fluctuations of gibbs ensembles”, Dokl. Math., 90:2 (2014), 622–625  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus (cited: 1)
44. V. V. Kozlov, “On rational integrals of geodesic flows”, Regul. Chaotic Dyn., 19:6 (2014), 601–606  mathnet (cited: 9)  crossref  mathscinet  zmath  adsnasa  isi (cited: 9)  elib (cited: 5)  scopus (cited: 8)
45. V. V. Kozlov, “O ratsionalnykh integralakh geodezicheskikh potokov”, Nelineinaya dinam., 10:4 (2014), 439–445  mathnet  elib
46. A. P. Buslaev, V. V. Kozlov, “On a system of nonlinear differential equations for the model of totally connected traffic”, J. Concr. Appl. Math., 12:1-2 (2014), 86–93  mathnet  mathscinet  zmath
47. V. V. Kozlov, A. P. Buslaev, A. G. Tatashev, “Behavior of pendulums on a regular polygon”, Journal of Communication and Computer, 11:1 (2014), 30–38  mathnet  crossref
48. V. V. Kozlov, “Exchange of stabilities in the Euler–Poincaré–Suslov systems under the change of the direction of motion”, Nonlinear Dynamics & Moble Robotics, 2:2 (2014), 199–211  mathnet

49. I. V. Astashova, A. V. Borovskikh, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, N. A. Izobov, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, I. V. Matrosov, V. V. Palin, N. Kh. Rozov, M. S. Romanov, I. N. Sergeev, E. V. Radkevich, O. S. Rozanova, I. V. Filimonova, A. V. Filinovskii, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Scientific heritage of Vladimir Mikhailovich Millionshchikov”, J. Math. Sci. (N. Y.), 210:2 (2015), 115–134  mathnet  crossref

50. V. V. Kozlov, “On Bohl's Argument Theorem”, Math. Notes, 93:1 (2013), 83–89  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus
51. Valery V. Kozlov, “The Euler–Jacobi–Lie integrability theorem”, Nelin. Dinam., 9:2 (2013), 229–245  mathnet  elib
52. A. S. Bugaev, A. P. Buslaev, V. V. Kozlov, A. G. Tatashev, M. V. Yashina, “Traffic modeling: monotonic total-connected random walk on a network”, Matem. Mod., 25:8 (2013), 3–21  mathnet  mathscinet  elib
53. Valery V. Kozlov, “Notes on integrable systems”, Nelin. Dinam., 9:3 (2013), 459–478  mathnet  elib
54. V. V. Kozlov, “The behaviour of cyclic variables in integrable systems”, J. Appl. Math. Mech., 77:2 (2013), 128–136  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 3)
55. V. V. Kozlov, “The Euler-Jacobi-Lie integrability theorem”, Regul. Chaotic Dyn., 18:4 (2013), 329–343  mathnet (cited: 20)  crossref  mathscinet  zmath  zmath  isi (cited: 17)  elib (cited: 16)  scopus (cited: 18)
56. V. V. Kozlov, “Polynomial in momenta invariants of Hamilton's equations, divergent series and generalized functions”, Nonlinearity, 26:3 (2013), 745–756  mathnet  crossref  mathscinet  zmath  isi  scopus
57. V. V. Kozlov, S. D. Furta, Asymptotic solutions of strongly nonlinear systems of differential equations, Translated from the 2009 Russian second edition, Springer Monogr. Math., Springer, Heidelberg, 2013 , xx+262 pp.  crossref  mathscinet  zmath
58. V. V. Kozlov, Obschaya teoriya vikhrei, 2-e izdanie, ispravlennoe i dopolnennoe, Institut kompyuternykh issledovanii, Moskva–Izhevsk, 2013 , 324 pp.

59. V. V. Kozlov, “On invariant manifolds of nonholonomic systems”, Nelin. Dinam., 8:1 (2012), 57–69  mathnet  elib
60. V. V. Kozlov, “On Gibbs distribution for quantum systems”, p-Adic Numbers Ultrametric Anal. Appl., 4:1 (2012), 76–83  mathnet  crossref  mathscinet  zmath  scopus
61. N. V. Denisova, V. V. Kozlov, D. V. Treschev, “Remarks on polynomial integrals of higher degrees for reversible systems with toral configuration space”, Izv. Math., 76:5 (2012), 907–921  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 5)
62. V. V. Kozlov, “On invariant manifolds of nonholonomic systems”, Regul. Chaotic Dyn., 17:2 (2012), 131–141  mathnet (cited: 5)  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 7)  scopus (cited: 5)
63. Valery V. Kozlov, “An extended Hamilton–Jacobi method”, Nelin. Dinam., 8:3 (2012), 549–568  mathnet  elib
64. V. V. Kozlov, A. P. Buslaev, “Metropolis traffic modeling: from intelligent monitoring through physical representation to mathematical problems”, Proc. International Conference on Computational and Mathematical Methods in Science and Engineering, v. 1, 2012, 750–756
65. V. V. Kozlov, “Invariant manifolds of Hamilton's equations”, J. Appl. Math. Mech., 76:4 (2012), 378–387  mathnet  crossref  mathscinet  isi  elib  scopus (cited: 1)
66. V. V. Kozlov, O. G. Smolyanov, “Hamiltonian aspects of quantum theory”, Dokl. Math., 85:3 (2012), 416–420  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 4)
67. V. V. Kozlov, “The statistical mechanics of a class of dissipative systems”, J. Appl. Math. Mech., 76:1 (2012), 15–24  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
68. V. V. Kozlov, “An extension of the Hamilton-Jacobi method”, Dokl. Math., 85:2 (2012), 301–303  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
69. V. V. Kozlov, “An extended Hamilton–Jacobi method”, Regul. Chaotic Dyn., 17:6 (2012), 580–596  mathnet (cited: 2)  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 2)  scopus (cited: 1)

70. V. V. Kozlov, O. G. Smolyanov, “Osnovaniya statisticheskoi mekhaniki i raboty Puankare, Erenfestov i fon Neimana”, v kn.: A. Puankare, T. i P. Erenfesty, Dzh. fon Neiman, Raboty po statisticheskoi mekhanike, In-t kompyuternykh issledovanii, Moskva–Izhevsk, 2011, 249–279
71. Valery V. Kozlov, “The Lorentz force and its generalizations”, Nelin. Dinam., 7:3 (2011), 627–634  mathnet  elib
72. V. V. Kozlov, “Statistical irreversibility of the Kac reversible circular model”, Nelin. Dinam., 7:1 (2011), 101–117  mathnet  elib
73. V. V. Kozlov, “Problem of stability of two-link trajectories in a multidimensional Birkhoff billiard”, Proc. Steklov Inst. Math., 273 (2011), 196–213  mathnet  crossref  mathscinet  zmath  isi (cited: 5)  elib
74. V. V. Kozlov, “The equations of motion of a collisionless continuum”, J. Appl. Math. Mech., 75:6 (2011), 619–630  crossref  mathscinet  zmath  isi  elib  elib  scopus
75. V. V. Kozlov, “The Vlasov kinetic equation, dynamics of continuum and turbulence”, Regul. Chaotic Dyn., 16:6 (2011), 602–622  mathnet (cited: 1)  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 2)  scopus (cited: 3)
76. V. V. Kozlov, O. G. Smolyanov, “Bogoliubov type equations via infinite-dimensional equations for measures”, Quantum bio-informatics IV, QP–PQ: Quantum Probab. White Noise Anal., 28, World Sci. Publ., Hackensack, NJ, 2011, 321–337  crossref  mathscinet  zmath
77. V. V. Kozlov, O. G. Smolyanov, “Wigner measures on infinite-dimensional spaces and the Bogolyubov equations for quantum systems”, Dokl. Math., 84:1 (2011), 571–575  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)
78. V. V. Kozlov, “Statistical irreversibility of the Kac reversible circular model”, Regul. Chaotic Dyn., 16:5 (2011), 536–549  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
79. V. V. Kozlov, “Friction in the sense of Painlevé and Lagrangian mechanics”, Dokl. Phys., 56:6 (2011), 355–358  crossref  mathscinet  adsnasa  isi (cited: 5)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 5)
80. V. V. Kozlov, “On the dry-friction mechanism”, Dokl. Phys., 56:4 (2011), 256–257  crossref  mathscinet  adsnasa  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
81. A. S. Bugaev, A. P. Buslaev, V. V. Kozlov, M. V. Yashina, “Distributed problems of monitoring and modern approaches to traffic modeling”, 2011 14th IEEE International IEEE Conference on Intelligent Transportation Systems (ITSC), 14th International IEEE Conference on Intelligent Transportation Systems-ITSC, 2011, 477–481  isi (cited: 2)  elib
82. A. S. Bugaev, A. P. Buslaev, V. V. Kozlov, M. V. Yashina, “Nekotorye matematicheskie i informatsionnye aspekty modelirovaniya trafika”, T-Comm: Telekommunikatsii i transport, 2011, no. 4, 29–31  elib (cited: 4)

83. V. V. Kozlov, “Variational principle for periodic orbits of invertible dynamical equations”, Dokl. Math., 81:1 (2010), 139–141  crossref  mathscinet  zmath  isi  elib  elib  scopus
84. V. V. Kozlov, O. G. Smolyanov, “Infinite-dimensional Liouville equations with respect to measures”, Dokl. Math., 81:3 (2010), 476–480  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)
85. V. V. Kozlov, “Spectral properties of operators with polynomial invariants in real finite-dimensional spaces”, Proc. Steklov Inst. Math., 268 (2010), 148–160  mathnet  crossref  mathscinet  zmath  zmath  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
86. V. V. Kozlov, Nelin. Dinam., 6:4 (2010), 903–906  mathnet  elib
87. V. V. Kozlov, “Lagrangian mechanics and dry friction”, Nelin. Dinam., 6:4 (2010), 855–868  mathnet  elib
88. V. V. Kozlov, “The Vlasov kinetic equation, dynamics of continuum and turbulence”, Nelin. Dinam., 6:3 (2010), 489–512  mathnet  elib
89. V. V. Kozlov, “Remarks on the degree of instability”, J. Appl. Math. Mech., 74:1 (2010), 10–12  crossref  mathscinet  zmath  isi  elib  scopus (cited: 2)
90. V. V. Kozlov, “On the variational principles of mechanics”, J. Appl. Math. Mech., 74:5 (2010), 505–512  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)

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