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Mamaev Ivan Sergeevich

Statistics Math-Net.Ru
Total publications: 112
Scientific articles: 110
in MathSciNet: 41
in zbMATH: 31
in Web of Science: 47
in Scopus: 33
Cited articles: 81
Citations in Math-Net.Ru: 685
Presentations: 1

Number of views:
This page:1124
Abstract pages:14830
Full texts:3672
References:1878
Doctor of physico-mathematical sciences
E-mail: ,

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Publications in Math-Net.Ru
1. The HessAppelrot case and quantization of the rotation number
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 13:3 (2017),  433–452
2. Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups
I. A. Bizyaev, A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 13:1 (2017),  129–146
3. An Inhomogeneous Chaplygin Sleigh
Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 22:4 (2017),  435–447
4. The HessAppelrot Case and Quantization of the Rotation Number
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 22:2 (2017),  180–196
5. Optimal Control of the Motion of a Helical Body in a Liquid Using Rotors
E. V. Vetchanin, I. S. Mamaev
Russ. J. Math. Phys., 24:3 (2017),  399–411
6. Dynamical systems with non-integrable constraints: vaconomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics
A. V. Borisov, I. S. Mamaev, I. A. Bizyaev
Uspekhi Mat. Nauk, 72:5(437) (2017),  3–62
7. Dynamics of the Chaplygin sleigh on a cylinder
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 12:4 (2016),  675–687
8. Historical and critical review of the development of nonholonomic mechanics: the classical period
A. V. Borisov, I. S. Mamaev, I. A. Bizyaev
Nelin. Dinam., 12:3 (2016),  385–411
9. On the HadamardHamel problem and the dynamics of wheeled vehicles
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 12:1 (2016),  145–163
10. Dynamics of a Painlevé–Appell system
T. B. Ivanova, I. S. Mamaev
Prikl. Mat. Mekh., 80:1 (2016),  11–23
11. Control of the Motion of a Helical Body in a Fluid Using Rotors
Evgeny V. Vetchanin, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 21:7-8 (2016),  874–884
12. Integrability and Nonintegrability of Sub-Riemannian Geodesic Flows on Carnot Groups
Ivan A. Bizyaev, Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 21:6 (2016),  759–774
13. The Spatial Problem of 2 Bodies on a Sphere. Reduction and Stochasticity
Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev
Regul. Chaotic Dyn., 21:5 (2016),  556–580
14. Historical and Critical Review of the Development of Nonholonomic Mechanics: the Classical Period
Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev
Regul. Chaotic Dyn., 21:4 (2016),  455–476
15. The Dynamics of Vortex Sources in a Deformation Flow
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 21:3 (2016),  367–376
16. Adiabatic Invariants, Diffusion and Acceleration in Rigid Body Dynamics
Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 21:2 (2016),  232–248
17. Dynamics of the Chaplygin Sleigh on a Cylinder
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 21:1 (2016),  136–146
18. Rigid Body Dynamics in Non-Euclidean Spaces
A. V. Borisov, I. S. Mamaev
Russ. J. Math. Phys., 23:4 (2016),  431–454
19. The Hojman Construction and Hamiltonization of Nonholonomic Systems
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
SIGMA, 12 (2016), 012
20. Generalizations of the Kovalevskaya case and quaternions
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev
Tr. Mat. Inst. Steklova, 295 (2016),  41–52
21. The Hess–Appelrot system and its nonholonomic analogs
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev
Tr. Mat. Inst. Steklova, 294 (2016),  268–292
22. Symmetries and reduction in nonholonomic mechanics
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 11:4 (2015),  763–823
23. Topology and bifurcations in nonholonomic mechanics
I. A. Bizyaev, A. V. Bolsinov, A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 11:4 (2015),  735–762
24. Experimental Investigation of the Motion of a Body with an Axisymmetric Base Sliding on a Rough Plane
A. V. Borisov, Yu. L. Karavaev, I. S. Mamaev, N. N. Erdakova, T. B. Ivanova, V. V. Tarasov
Nelin. Dinam., 11:3 (2015),  547–577
25. The Jacobi integral in nonholonomic mechanics
A. V. Borisov, I. S. Mamaev, I. A. Bizyaev
Nelin. Dinam., 11:2 (2015),  377–396
26. Geometrisation of Chaplygin's reducing multiplier theorem
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev
Nonlinearity, 28:7 (2015),  2307–2318
27. On the Hadamard–Hamel Problem and the Dynamics of Wheeled Vehicles
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 20:6 (2015),  752–766
28. Qualitative Analysis of the Dynamics of a Wheeled Vehicle
Alexey V. Borisov, Ivan S. Mamaev, Alexander A. Kilin, Ivan A. Bizyaev
Regul. Chaotic Dyn., 20:6 (2015),  739–751
29. Symmetries and Reduction in Nonholonomic Mechanics
Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 20:5 (2015),  553–604
30. Experimental Investigation of the Motion of a Body with an Axisymmetric Base Sliding on a Rough Plane
Alexey V. Borisov, Yury L. Karavaev, Ivan S. Mamaev, Nadezhda N. Erdakova, Tatyana B. Ivanova, Valery V. Tarasov
Regul. Chaotic Dyn., 20:5 (2015),  518–541
31. The Jacobi Integral in Nonholonomic Mechanics
A. V. Borisov, I. S. Mamaev, I. A. Bizyaev
Regul. Chaotic Dyn., 20:3 (2015),  383–400
32. Dynamics and Control of an Omniwheel Vehicle
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 20:2 (2015),  153–172
33. Hamiltonization of elementary nonholonomic systems
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev
Russ. J. Math. Phys., 22:4 (2015),  444–453
34. Equations of motion of non-holonomic systems
A. V. Borisov, I. S. Mamaev
Uspekhi Mat. Nauk, 70:6(426) (2015),  203–204
35. Notes on new friction models and nonholonomic mechanics
A. V. Borisov, I. S. Mamaev
UFN, 185:12 (2015),  1339–1341
36. On the Nonlinear Poisson Bracket Arising in Nonholonomic Mechanics
A. V. Borisov, I. S. Mamaev, A. V. Tsiganov
Mat. Zametki, 95:3 (2014),  340–349
37. On the dynamics of a body with an axisymmetric base sliding on a rough plane
Alexey V. Borisov, Nadezhda N. Erdakova, Tatiana B. Ivanova, Ivan S. Mamaev
Nelin. Dinam., 10:4 (2014),  483–495
38. Invariant measure and hamiltonization of nonholonomic systems
Alexey V. Borisov, Ivan S. Mamaev
Nelin. Dinam., 10:3 (2014),  355–359
39. The dynamics of three vortex sources
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
Nelin. Dinam., 10:3 (2014),  319–327
40. Figures of equilibrium of an inhomogeneous self-gravitating fluid
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
Nelin. Dinam., 10:1 (2014),  73–100
41. The Dynamics of Three Vortex Sources
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 19:6 (2014),  694–701
42. The Dynamics of a Body with an Axisymmetric Base Sliding on a Rough Plane
Alexey V. Borisov, Nadezhda N. Erdakova, Tatiana B. Ivanova, Ivan S. Mamaev
Regul. Chaotic Dyn., 19:6 (2014),  607–634
43. Superintegrable Generalizations of the Kepler and Hook Problems
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 19:3 (2014),  415–434
44. The Dynamics of Nonholonomic Systems Consisting of a Spherical Shell with a Moving Rigid Body Inside
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 19:2 (2014),  198–213
45. The Dynamics of a Rigid Body with a Sharp Edge in Contact with an Inclined Surface in the Presence of Dry Friction
Ivan S. Mamaev, Tatiana B. Ivanova
Regul. Chaotic Dyn., 19:1 (2014),  116–139
46. Non-holonomic dynamics and Poisson geometry
A. V. Borisov, I. S. Mamaev, A. V. Tsiganov
Uspekhi Mat. Nauk, 69:3(417) (2014),  87–144
47. Rolling of a rigid body without slipping and spinning: kinematics and dynamics
A. V. Borisov, I. S. Mamaev, D. V. Treschev
2, no. 2, 2013,  161–173
48. The problem of drift and recurrence for the rolling Chaplygin ball
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Nelin. Dinam., 9:4 (2013),  721–754
49. Geometrization of the Chaplygin reducing-multiplier theorem
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 9:4 (2013),  627–640
50. The dynamics of rigid body whose sharp edge is in contact with a inclined surface with dry friction
Ivan S. Mamaev, Tatyana B. Ivanova
Nelin. Dinam., 9:3 (2013),  567–593
51. The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
Nelin. Dinam., 9:3 (2013),  547–566
52. On the dynamics of a body with an axisymmetric base sliding on a rough plane
Nadezhda N. Erdakova, Ivan S. Mamaev
Nelin. Dinam., 9:3 (2013),  521–545
53. On the loss of contact of the Euler disk
Alexey V. Borisov, Ivan S. Mamaev, Yury L. Karavaev
Nelin. Dinam., 9:3 (2013),  499–506
54. The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere
Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev
Nelin. Dinam., 9:2 (2013),  141–202
55. How to control the Chaplygin ball using rotors. II
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Nelin. Dinam., 9:1 (2013),  59–76
56. The Problem of Drift and Recurrence for the Rolling Chaplygin Ball
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 18:6 (2013),  832–859
57. The Dynamics of the Chaplygin Ball with a Fluid-filled Cavity
Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 18:5 (2013),  490–496
58. Topological Analysis of an Integrable System Related to the Rolling of a Ball on a Sphere
Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 18:4 (2013),  356–371
59. The Hierarchy of Dynamics of a Rigid Body Rolling without Slipping and Spinning on a Plane and a Sphere
Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev
Regul. Chaotic Dyn., 18:3 (2013),  277–328
60. How to Control the Chaplygin Ball Using Rotors. II
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 18:1-2 (2013),  144–158
61. The Self-propulsion of a Body with Moving Internal Masses in a Viscous Fluid
Evgeny V. Vetchanin, Ivan S. Mamaev, Valentin A. Tenenev
Regul. Chaotic Dyn., 18:1-2 (2013),  100–117
62. The Dynamics of Vortex Rings: Leapfrogging, Choreographies and the Stability Problem
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 18:1-2 (2013),  33–62
63. Topological analysis of one integrable system related to the rolling of a ball over a sphere
Alexey V. Borisov, Ivan S. Mamaev
Nelin. Dinam., 8:5 (2012),  957–975
64. The motion of a body with variable mass geometry in a viscous fluid
Evgeny V. Vetchanin, Ivan S. Mamaev, Valentin A. Tenenev
Nelin. Dinam., 8:4 (2012),  815–836
65. Rolling of a rigid body without slipping and spinning: kinematics and dynamics
Alexey V. Borisov, Ivan S. Mamaev, Dmitrii V. Treschev
Nelin. Dinam., 8:4 (2012),  783–797
66. Rolling without spinning of a ball on a plane: absence of an invariant measure in a system with a complete set of first integrals
Alexey V. Bolsinov, Alexey V. Borisov, Ivan S. Mamaev
Nelin. Dinam., 8:3 (2012),  605–616
67. How to control the Chaplygin sphere using rotors
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 8:2 (2012),  289–307
68. The dynamics of vortex rings: Leapfrogging, choreographies and the stability problem
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 8:1 (2012),  113–147
69. The dynamics of the Chaplygin ball with a fluid-filled cavity
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 8:1 (2012),  103–111
70. An omni-wheel vehicle on a plane and a sphere
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 7:4 (2011),  785–801
71. The bifurcation analysis and the Conley index in mechanics
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 7:3 (2011),  649–681
72. Two non-holonomic integrable systems of coupled rigid bodies
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 7:3 (2011),  559–568
73. On V. A. Steklov's legacy in classical mechanics
A. V. Borisov, L. A. Gazizullina, I. S. Mamaev
Nelin. Dinam., 7:2 (2011),  389–403
74. Generalized Chaplygins transformation and explicit integration of a system with a spherical support
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 7:2 (2011),  313–338
75. Stability of new relative equilibria of the system of three point vortices in a circular domain
A. V. Borisov, I. S. Mamaev, A. V. Vas'kina
Nelin. Dinam., 7:1 (2011),  119–138
76. Rolling of a homogeneous ball over a dynamically asymmetric sphere
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 6:4 (2010),  869–889
77. Hamiltonisation of non-holonomic systems in the neighborhood of invariant manifolds
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 6:4 (2010),  829–854
78. Stability of a liquid self-gravitating elliptic cylinder with intrinsic rotation
A. V. Borisov, I. S. Mamaev, T. B. Ivanova
Nelin. Dinam., 6:4 (2010),  807–822
79. Dynamic advection
A. V. Borisov, I. S. Mamaev, S. M. Ramodanov
Nelin. Dinam., 6:3 (2010),  521–530
80. On the model of non-holonomic billiard
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 6:2 (2010),  373–385
81. Problems of stability and asymptotic behavior of vortex patches on the plane
V. V. Vaskin, A. V. Vaskina, I. S. Mamaev
Nelin. Dinam., 6:2 (2010),  327–343
82. Hamiltonian representation and integrability of the Suslov problem
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 6:1 (2010),  127–142
83. Topology and stability of integrable systems
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev
Uspekhi Mat. Nauk, 65:2(392) (2010),  71–132
84. Dynamics of a wheeled carriage on a plane
A. V. Borisov, S. G. Lutsenko, I. S. Mamaev
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 4,  39–48
85. Method of discrete vortices in statistical vortex dynamics as a paradigm of computer methods of analysis
I. S. Mamaev
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 1,  146–155
86. New superintegrable system on a sphere
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 5:4 (2009),  455–462
87. Statistical mechanics of nonlinear dynamical systems
V. V. Vaskin, N. N. Erdakova, I. S. Mamaev
Nelin. Dinam., 5:3 (2009),  385–402
88. Coupled motion of a rigid body and point vortices on a sphere
A. V. Borisov, I. S. Mamaev, S. M. Ramodanov
Nelin. Dinam., 5:3 (2009),  319–343
89. Isomorphisms of geodesic flows on quadrics
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 5:2 (2009),  145–158
90. Multiparticle systems. The algebra of integrals and integrable cases
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 5:1 (2009),  53–82
91. Parallel calculation methods for statistical mechanics problems
I. S. Mamaev
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 4,  167–175
92. Multipurpose software system for research of mechanical systems with nonholonomic constraints
I. S. Mamaev
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 2,  147–160
93. Algebraic reduction of systems on two- and three-dimensional spheres
A. V. Borisov, I. S. Mamaev, S. M. Ramodanov
Nelin. Dinam., 4:4 (2008),  407–416
94. The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids
A. V. Borisov, I. S. Mamaev, A. A. Kilin
Nelin. Dinam., 4:4 (2008),  363–407
95. Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 4:3 (2008),  223–280
96. Motion of two spheres in ideal fluid. I. Equations of motions in the Euclidean space. First integrals and reduction
A. V. Borisov, I. S. Mamaev, S. M. Ramodanov
Nelin. Dinam., 3:4 (2007),  411–422
97. Asymptotic stability and associated problems of dynamics of falling rigid body
A. V. Borisov, V. V. Kozlov, I. S. Mamaev
Nelin. Dinam., 3:3 (2007),  255–296
98. A new integrable problem of motion of point vortices on the sphere
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 3:2 (2007),  211–223
99. On isomorphisms of some integrable systems on a plane and a sphere
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 3:1 (2007),  49–56
100. Isomorphism and Hamilton representation of some nonholonomic systems
A. V. Borisov, I. S. Mamaev
Sibirsk. Mat. Zh., 48:1 (2007),  33–45
101. An Integrable System with a Nonintegrable Constraint
A. V. Borisov, I. S. Mamaev
Mat. Zametki, 80:1 (2006),  131–134
102. On a nonholonomic dynamical problem
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Mat. Zametki, 79:5 (2006),  790–796
103. Rolling of a heterotgeneous ball over a sphere without sliding and spinning
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 2:4 (2006),  445–452
104. Stability of steady rotations in the non-holonomic Routh problem
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 2:3 (2006),  333–345
105. Reduction in the two-body problem on the Lobatchevsky plane
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 2:3 (2006),  279–285
106. Interaction between Kirchhoff vortices and point vortices in an ideal fluid
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 2:2 (2006),  199–213
107. Dynamics of two vortex rings on a sphere
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 2:2 (2006),  181–192
108. On the fall of a heavy rigid body in an ideal fluid
A. V. Borisov, V. V. Kozlov, I. S. Mamaev
Trudy Inst. Mat. i Mekh. UrO RAN, 12:1 (2006),  25–47
109. The Nonexistence of an Invariant Measure for an Inhomogeneous Ellipsoid Rolling on a Plane
A. V. Borisov, I. S. Mamaev
Mat. Zametki, 77:6 (2005),  930–932
110. Reduction and chaotic behavior of point vortices on a plane and a sphere
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 1:2 (2005),  233–246
111. Chaos in a restricted problem of rotation of a rigid body with a fixed point
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 1:2 (2005),  191–207
112. Absolute and relative choreographies in rigid body dynamics
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 1:1 (2005),  123–141
113. Interaction of two circular cylinders in a perfect fluid
A. V. Borisov, I. S. Mamaev, S. M. Ramodanov
Nelin. Dinam., 1:1 (2005),  3–21
114. Integrability of the Problem of the Motion of a Cylinder and a Vortex in an Ideal Fluid
A. V. Borisov, I. S. Mamaev
Mat. Zametki, 75:1 (2004),  20–23
115. Strange attractors in rattleback dynamics
A. V. Borisov, I. S. Mamaev
UFN, 173:4 (2003),  407–418
116. Chaplygin's Ball Rolling Problem Is Hamiltonian
A. V. Borisov, I. S. Mamaev
Mat. Zametki, 70:5 (2001),  793–795

117.   . . 
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 6:4 (2010),  893–895
118. Valery V. Kozlov: On the sixtieth birthday
A. V. Borisov, S. V. Bolotin, A. A. Kilin, I. S. Mamaev, D. V. Treschev
Nelin. Dinam., 6:3 (2010),  461–488

Presentations in Math-Net.Ru
1. Reduction in nonholonomic systems
A. V. Borisov, I. S. Mamaev
International scientific conference "Days of Classical Mechanics"
January 26, 2015 13:40   

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