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Mamaev Ivan Sergeevich

Statistics Math-Net.Ru
Total publications: 110
Scientific articles: 108
in MathSciNet: 39
in zbMATH: 31
in Web of Science: 47
in Scopus: 33
Cited articles: 78
Citations in Math-Net.Ru: 660
Presentations: 1

Number of views:
This page:1001
Abstract pages:14407
Full texts:3600
References:1787
Doctor of physico-mathematical sciences
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Publications in Math-Net.Ru
1. 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
2. An Inhomogeneous Chaplygin Sleigh
Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 22:4 (2017),  435–447
3. 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
4. Dynamics of the Chaplygin sleigh on a cylinder
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 12:4 (2016),  675–687
5. 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
6. 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
7. Dynamics of a Painlevé–Appell system
T. B. Ivanova, I. S. Mamaev
Prikl. Mat. Mekh., 80:1 (2016),  11–23
8. 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
9. 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
10. 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
11. 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
12. 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
13. Adiabatic Invariants, Diffusion and Acceleration in Rigid Body Dynamics
Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 21:2 (2016),  232–248
14. 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
15. Rigid Body Dynamics in Non-Euclidean Spaces
A. V. Borisov, I. S. Mamaev
Russ. J. Math. Phys., 23:4 (2016),  431–454
16. The Hojman Construction and Hamiltonization of Nonholonomic Systems
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
SIGMA, 12 (2016), 012
17. Generalizations of the Kovalevskaya case and quaternions
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev
Tr. Mat. Inst. Steklova, 295 (2016),  41–52
18. 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
19. Symmetries and reduction in nonholonomic mechanics
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 11:4 (2015),  763–823
20. 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
21. 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
22. The Jacobi integral in nonholonomic mechanics
A. V. Borisov, I. S. Mamaev, I. A. Bizyaev
Nelin. Dinam., 11:2 (2015),  377–396
23. Geometrisation of Chaplygin's reducing multiplier theorem
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev
Nonlinearity, 28:7 (2015),  2307–2318
24. 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
25. 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
26. Symmetries and Reduction in Nonholonomic Mechanics
Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 20:5 (2015),  553–604
27. 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
28. The Jacobi Integral in Nonholonomic Mechanics
A. V. Borisov, I. S. Mamaev, I. A. Bizyaev
Regul. Chaotic Dyn., 20:3 (2015),  383–400
29. Dynamics and Control of an Omniwheel Vehicle
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
Regul. Chaotic Dyn., 20:2 (2015),  153–172
30. Hamiltonization of elementary nonholonomic systems
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev
Russ. J. Math. Phys., 22:4 (2015),  444–453
31. Equations of motion of non-holonomic systems
A. V. Borisov, I. S. Mamaev
Uspekhi Mat. Nauk, 70:6(426) (2015),  203–204
32. Notes on new friction models and nonholonomic mechanics
A. V. Borisov, I. S. Mamaev
UFN, 185:12 (2015),  1339–1341
33. 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
34. 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
35. Invariant measure and hamiltonization of nonholonomic systems
Alexey V. Borisov, Ivan S. Mamaev
Nelin. Dinam., 10:3 (2014),  355–359
36. The dynamics of three vortex sources
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
Nelin. Dinam., 10:3 (2014),  319–327
37. 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
38. The Dynamics of Three Vortex Sources
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
Regul. Chaotic Dyn., 19:6 (2014),  694–701
39. 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
40. 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
41. 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
42. 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
43. Non-holonomic dynamics and Poisson geometry
A. V. Borisov, I. S. Mamaev, A. V. Tsiganov
Uspekhi Mat. Nauk, 69:3(417) (2014),  87–144
44. 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
45. 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
46. Geometrization of the Chaplygin reducing-multiplier theorem
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 9:4 (2013),  627–640
47. 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
48. 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
49. 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
50. 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
51. 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
52. 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
53. 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
54. 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
55. 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
56. 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
57. 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
58. 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
59. 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
60. 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
61. 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
62. 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
63. 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
64. How to control the Chaplygin sphere using rotors
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 8:2 (2012),  289–307
65. 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
66. The dynamics of the Chaplygin ball with a fluid-filled cavity
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 8:1 (2012),  103–111
67. 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
68. 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
69. Two non-holonomic integrable systems of coupled rigid bodies
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 7:3 (2011),  559–568
70. 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
71. 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
72. 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
73. 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
74. 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
75. 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
76. Dynamic advection
A. V. Borisov, I. S. Mamaev, S. M. Ramodanov
Nelin. Dinam., 6:3 (2010),  521–530
77. On the model of non-holonomic billiard
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 6:2 (2010),  373–385
78. 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
79. Hamiltonian representation and integrability of the Suslov problem
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 6:1 (2010),  127–142
80. Topology and stability of integrable systems
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev
Uspekhi Mat. Nauk, 65:2(392) (2010),  71–132
81. 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
82. 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
83. New superintegrable system on a sphere
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 5:4 (2009),  455–462
84. Statistical mechanics of nonlinear dynamical systems
V. V. Vaskin, N. N. Erdakova, I. S. Mamaev
Nelin. Dinam., 5:3 (2009),  385–402
85. 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
86. Isomorphisms of geodesic flows on quadrics
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 5:2 (2009),  145–158
87. 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
88. Parallel calculation methods for statistical mechanics problems
I. S. Mamaev
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 4,  167–175
89. 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
90. 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
91. 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
92. Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 4:3 (2008),  223–280
93. 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
94. 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
95. 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
96. 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
97. Isomorphism and Hamilton representation of some nonholonomic systems
A. V. Borisov, I. S. Mamaev
Sibirsk. Mat. Zh., 48:1 (2007),  33–45
98. An Integrable System with a Nonintegrable Constraint
A. V. Borisov, I. S. Mamaev
Mat. Zametki, 80:1 (2006),  131–134
99. On a nonholonomic dynamical problem
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Mat. Zametki, 79:5 (2006),  790–796
100. 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
101. 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
102. Reduction in the two-body problem on the Lobatchevsky plane
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 2:3 (2006),  279–285
103. Interaction between Kirchhoff vortices and point vortices in an ideal fluid
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 2:2 (2006),  199–213
104. Dynamics of two vortex rings on a sphere
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 2:2 (2006),  181–192
105. 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
106. 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
107. 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
108. 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
109. Absolute and relative choreographies in rigid body dynamics
A. V. Borisov, A. A. Kilin, I. S. Mamaev
Nelin. Dinam., 1:1 (2005),  123–141
110. 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
111. 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
112. Strange attractors in rattleback dynamics
A. V. Borisov, I. S. Mamaev
UFN, 173:4 (2003),  407–418
113. Chaplygin's Ball Rolling Problem Is Hamiltonian
A. V. Borisov, I. S. Mamaev
Mat. Zametki, 70:5 (2001),  793–795

114.   . . 
A. V. Borisov, I. S. Mamaev
Nelin. Dinam., 6:4 (2010),  893–895
115. 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
International scientific conference "Days of Classical Mechanics"
January 26, 2015 13:40   

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