Persons: Mamaev, Ivan Sergeevich

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Mamaev, Ivan Sergeevich

Total publications:	188 (184)
in MathSciNet:	112 (111)
in zbMATH:	84 (84)
in Web of Science:	73 (71)
in Scopus:	97 (95)
Cited articles:	167
Citations:	3240
Presentations:	13

Number of views:
This page:	8257
Abstract pages:	87100
Full texts:	20107
References:	12969

Doctor of physico-mathematical sciences

E-mail:

https://www.mathnet.ru/eng/person9251

https://scholar.google.com/citations?user=Q2g22ToAAAAJ&hl=en

https://zbmath.org/authors/ai:mamaev.ivan-s

https://mathscinet.ams.org/mathscinet/MRAuthorID/640461

https://elibrary.ru/author_items.asp?spin=3135-2575

https://orcid.org/0000-0003-3916-9367

https://www.webofscience.com/wos/author/record/M-8047-2014

https://www.scopus.com/authid/detail.url?authorId=6603881879

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2025
1.	E. V. Vetchanin, I. S. Mamaev, D. A. Lagunov, “Motion of Point Vortices and a Smooth Foil with Variable Mass Distribution in an Ideal Fluid”, Rus. J. Nonlin. Dyn., 21:4 (2025), 515–537 ;

2024
2.	Ivan A. Bizyaev, Ivan S. Mamaev, “Nonlinear Dynamics of a Roller Bicycle”, Regul. Chaotic Dyn., 29:5 (2024), 728–750 ;	1 ^[x]

2023
3.	Ivan A. Bizyaev, Ivan S. Mamaev, “Roller Racer with Varying Gyrostatic Momentum: Acceleration Criterion and Strange Attractors”, Regul. Chaotic Dyn., 28:1 (2023), 107–130 ;	5 ^[x]
4.	A. V. Klekovkin, Yu. L. Karavaev, I. S. Mamaev, “The Control of an Aquatic Robot by a Periodic Rotation of the Internal Flywheel”, Rus. J. Nonlin. Dyn., 19:2 (2023), 265–279 ;	1 ^[x]

2022
5.	Ivan A. Bizyaev, Ivan S. Mamaev, “Permanent Rotations in Nonholonomic Mechanics. Omnirotational Ellipsoid”, Regul. Chaotic Dyn., 27:6 (2022), 587–612 ;	8 ^[x]
6.	E. V. Vetchanin, I. S. Mamaev, “Numerical analysis of the periodic controls of an aquatic robot”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:4 (2022), 644–660
7.	E. V. Vetchanin, I. S. Mamaev, “Periodic perturbation of motion of an unbalanced circular foil in the presence of point vortices in an ideal fluid”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:4 (2022), 630–643

2021
8.	Ivan Bizyaev, Sergey Bolotin, Ivan Mamaev, “Normal forms and averaging in an acceleration problem in nonholonomic mechanics”, Chaos, 31:1 (2021), 13132, 28 pp. ;	9 ^[x]
9.	Ivan A. Bizyaev, Ivan S. Mamaev, “Qualitative Analysis of the Dynamics of a Balanced Circular Foil and a Vortex”, Regul. Chaotic Dyn., 26:6 (2021), 658–674 ;	6 ^[x]
10.	I. S. Mamaev, A. A. Kilin, Yu. L. Karavaev, V. A. Shestakov, “Criteria of Motion Without Slipping for an Omnidirectional Mobile Robot”, Rus. J. Nonlin. Dyn., 17:4 (2021), 527–546 ;	1 ^[x]

2020
11.	Ivan S. Mamaev, Evgeny V. Vetchanin, “Dynamics of Rubber Chaplygin Sphere under Periodic Control”, Regul. Chaotic Dyn., 25:2 (2020), 215–236 ;	18 ^[x]
12.	Elizaveta M. Artemova, Yury L. Karavaev, Ivan S. Mamaev, Evgeny V. Vetchanin, “Dynamics of a Spherical Robot with Variable Moments of Inertia and a Displaced Center of Mass”, Regul. Chaotic Dyn., 25:6 (2020), 689–706 ;	9 ^[x]
13.	I. A. Bizyaev, I. S. Mamaev, “Dynamics of a pair of point vortices and a foil with parametric excitation in an ideal fluid”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:4 (2020), 618–627

2019
14.	Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “A Parabolic Chaplygin Pendulum and a Paul Trap: Nonintegrability, Stability, and Boundedness”, Regul. Chaotic Dyn., 24:3 (2019), 329–352	2 ^[x]
15.	I. A. Bizyaev, A. V. Borisov, V. V. Kozlov, I. S. Mamaev, “Fermi-like acceleration and power-law energy growth in nonholonomic systems”, Nonlinearity, 32:9 (2019), 3209–3233	23 ^[x]
16.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “Different Models of Rolling for a Robot Ball on a Plane as a Generalization of the Chaplygin Ball Problem”, Regul. Chaotic Dyn., 24:5 (2019), 560–582	18 ^[x]

2018
17.	Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “A Nonholonomic Model of the Paul Trap”, Regul. Chaotic Dyn., 23:3 (2018), 339–354	7 ^[x]
18.	Alexey V. Borisov, Ivan S. Mamaev, Eugeny V. Vetchanin, “Dynamics of a Smooth Profile in a Medium with Friction in the Presence of Parametric Excitation”, Regul. Chaotic Dyn., 23:4 (2018), 480–502	14 ^[x]
19.	Alexey V. Borisov, Ivan S. Mamaev, Alexander A. Kilin, “Dynamics of Three Vortices on a Sphere”, Regul. Chaotic Dyn., 23:1 (2018), 127–134	4 ^[x]
20.	Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev, “Three Vortices in Spaces of Constant Curvature: Reduction, Poisson Geometry, and Stability”, Regul. Chaotic Dyn., 23:5 (2018), 613–636	5 ^[x]
21.	A. V. Borisov, L. C. Garsía-Naranjo, I. S. Mamaev, J. Montaldi, “Reduction and relative equilibria for the two-body problem on spaces of constant curvature”, Celest. Mech. Dyn. Astr., 130 (2018), 43, 36 pp.	18 ^[x]
22.	Ivan S. Mamaev, Evgeny V. Vetchanin, “The Self-propulsion of a Foil with a Sharp Edge in a Viscous Fluid Under the Action of a Periodically Oscillating Rotor”, Regul. Chaotic Dyn., 23:7 (2018), 875–886	10 ^[x]
23.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “An Invariant Measure and the Probability of a Fall in the Problem of an Inhomogeneous Disk Rolling on a Plane”, Regul. Chaotic Dyn., 23:6 (2018), 665–684	7 ^[x]
24.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “Exotic Dynamics of Nonholonomic Roller Racer with Periodic Control”, Regul. Chaotic Dyn., 23:7 (2018), 983–994	28 ^[x]
25.	Alexey V. Borisov, Ivan S. Mamaev, Evgeny V. Vetchanin, “Self-propulsion of a Smooth Body in a Viscous Fluid Under Periodic Oscillations of a Rotor and Circulation”, Regul. Chaotic Dyn., 23:7 (2018), 850–874	21 ^[x]
26.	I. S. Mamaev, V. A. Tenenev, E. V. Vetchanin, “Dynamics of a Body with a Sharp Edge in a Viscous Fluid”, Nelineinaya dinam., 14:4 (2018), 473–494	4 ^[x]

2017
27.	I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “The Hess–Appelrot case and quantization of the rotation number”, Regular and Chaotic Dynamics, 22:2 (2017), 180–196
28.	Alexey V. Borisov, Ivan S. Mamaev, “An Inhomogeneous Chaplygin Sleigh”, Regul. Chaotic Dyn., 22:4 (2017), 435–447	13 ^[x]
29.	A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics”, Russian Math. Surveys, 72:5 (2017), 783–840
30.	E. V. Vetchanin, I. S. Mamaev, “Optimal Control of the Motion of a Helical Body in a Liquid Using Rotors”, Russ. J. Math. Phys., 24:3 (2017), 399–411	1 ^[x]
31.	A. V. Borisov, I. S. Mamaev, “An inhomogeneous Chaplygin sleigh”, Nelin. Dinam., 13:4 (2017), 625–639
32.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Chaplygin Sleigh with Parametric Excitation: Chaotic Dynamics and Nonholonomic Acceleration”, Regul. Chaotic Dyn., 22:8 (2017), 955–975	44 ^[x]
33.	Evgeny V. Vetchanin, Ivan S. Mamaev, “Dynamics of Two Point Vortices in an External Compressible Shear Flow”, Regul. Chaotic Dyn., 22:8 (2017), 893–908	10 ^[x]
34.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “The Hamilton principle and the rolling motion of a symmetric ball”, Doklady Physics, 62:6 (2017), 314–317

2015
35.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On the Hadamard–Hamel problem and the dynamics of wheeled vehicles”, Regul. Chaotic Dyn., 20:6 (2015), 752–766	8 ^[x]

2016
36.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Hojman Construction and Hamiltonization of Nonholonomic Systems”, SIGMA, 12 (2016), 12, 12–19, 19 pp., arXiv: 1510.00181	11 ^[x]
37.	Alexey V. Borisov, Ivan S. Mamaev, “Adiabatic Invariants, Diffusion and Acceleration in Rigid Body Dynamics”, Regul. Chaotic Dyn., 21:2 (2016), 232–248	4 ^[x]
38.	I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Dynamics of the Chaplygin sleigh on a cylinder”, Regular and Chaotic Dynamics, 21:1 (2016), 136–146
39.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of Vortex Sources in a Deformation Flow”, Regul. Chaotic Dyn., 21:3 (2016), 367–376	12 ^[x]
40.	A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “Historical and critical review of the development of nonholonomic mechanics: the classical period”, Regular and Chaotic Dynamics, 21:4 (2016), 455–476
41.	T. B. Ivanova, I. S. Mamaev, “Dynamics of a Painlevé–Appell system”, J. Appl. Math. Mech., 80:1 (2016), 7–15
42.	I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “The Hess–Appelrot system and its nonholonomic analogs”, Proc. Steklov Inst. Math., 294 (2016), 252–275
43.	Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev, “The Spatial Problem of 2 Bodies on a Sphere. Reduction and Stochasticity”, Regul. Chaotic Dyn., 21:5 (2016), 556–580	27 ^[x]
44.	A. V. Borisov, I. S. Mamaev, “Rigid Body Dynamics in Non-Euclidean Spaces”, Russ. J. Math. Phys., 23:4 (2016), 431–454	15 ^[x]
45.	I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Generalizations of the Kovalevskaya case and quaternions”, Proc. Steklov Inst. Math., 295 (2016), 33–44
46.	I. A. Bizyaev, A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups”, Regular and Chaotic Dynamics, 21:6 (2016), 759–774
47.	I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Dynamics of the Chaplygin sleigh on a cylinder”, Nelin. Dinam., 12:4 (2016), 675–687
48.	A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “Historical and critical review of the development of nonholonomic mechanics: the classical period”, Nelin. Dinam., 12:3 (2016), 385–411
49.	Evgeny V. Vetchanin, Alexander A. Kilin, Ivan S. Mamaev, “Control of the Motion of a Helical Body in a Fluid Using Rotors”, Regul. Chaotic Dyn., 21:7-8 (2016), 874–884	8 ^[x]
50.	Alexey V. Borisov, Ivan S. Mamaev, Nadezhda N. Erdakova, “Dynamics of a body sliding on a rough plane and supported at three points”, Theor. Appl. Mech., 43:2 (2016), 169–190	7 ^[x]
51.	A. V. Borisov, S. P. Kuznetsov, I. S. Mamaev, V. A. Tenenev, “Describing the motion of a body with an elliptical cross section in a viscous uncompressible fluid by model equations reconstructed from data processing”, Tech. Phys. Lett., 42:9 (2016), 886–890

2015
52.	A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Geometrisation of Chaplygin's reducing multiplier theorem”, Nonlinearity, 28:7 (2015), 2307–2318	26 ^[x]
53.	A. V. Borisov, I. S. Mamaev, A. A. Kilin, I. A. Bizyaev, “Qualutative analysis of the dynamics of a wheeled vehicle”, Regul. Chaotic Dyn., 20:6 (2015), 739–751	19 ^[x]
54.	I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Hamiltonization of elementary nonholonomic systems”, Russ. J. Math. Phys., 22:4 (2015), 444–453	12 ^[x]
55.	A. V. Borisov, I. S. Mamaev, “Equations of motion of non-holonomic systems”, Russian Math. Surveys, 70:6 (2015), 1167–1169
56.	I. A. Bizyaev, A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Topology and bifurcations in nonholonomic mechanics”, International Journal of Bifurcation and Chaos, 25:10 (2015), 15300
57.	Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Dynamics and Control of an Omniwheel Vehicle”, Regul. Chaotic Dyn., 20:2 (2015), 153–172	47 ^[x]
58.	A. V. Borisov, I. S. Mamaev, “Symmetries and reduction in nonholonomic mechanics”, Regul. Chaotic Dyn., 20:5 (2015), 553–604
59.	A. V. Borisov, Yu. L. Karavaev, I. S. Mamaev, N. N. Erdakova, T. B. Ivanova, V. V. Tarasov, “Experimental Investigation of the Motion of a Body with an Axisymmetric Base Sliding on a Rough Plane”, Regul. Chaotic Dyn., 20:5 (2015), 518–541
60.	A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “The Jacobi integral in nonholonomic mechanics”, Regul. Chaotic Dyn., 20:3 (2015), 383–400
61.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “Figures of equilibrium of an inhomogeneous self-gravitating fluid”, Celest. Mech. Dyn. Astr., 122:1 (2015), 1–26	9 ^[x]
62.	A. V. Borisov, I. S. Mamaev, “A new integrable system of nonholonomic mechanics”, Dokl. Math., 60:6 (2015), 269–271
63.	A. V. Borisov, I. S. Mamaev, “Notes on new friction models and nonholonomic mechanics”, Phys. Usp., 58:12 (2015), 1220–1222

2014
64.	A. V. Borisov, I. S. Mamaev, A. V. Tsiganov, “On the Nonlinear Poisson Bracket Arising in Nonholonomic Mechanics”, Math. Notes, 95:3 (2014), 308–315
65.	Alexey V. Borisov, Nadezhda N. Erdakova, Tatiana B. Ivanova, Ivan S. Mamaev, “On the dynamics of a body with an axisymmetric base sliding on a rough plane”, Nelin. Dinam., 10:4 (2014), 483–495
66.	Alexey V. Borisov, Ivan S. Mamaev, “Invariant measure and hamiltonization of nonholonomic systems”, Nelin. Dinam., 10:3 (2014), 355–359
67.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The dynamics of three vortex sources”, Nelin. Dinam., 10:3 (2014), 319–327
68.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “Figures of equilibrium of an inhomogeneous self-gravitating fluid”, Nelin. Dinam., 10:1 (2014), 73–100
69.	A. V. Borisov, I. S. Mamaev, A. V. Tsiganov, “Non-holonomic dynamics and Poisson geometry”, Russian Math. Surveys, 69:3 (2014), 481–538
70.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “Superintegrable Generalizations of the Kepler and Hook Problems”, Regul. Chaotic Dyn., 19:3 (2014), 415–434	17 ^[x]
71.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of Nonholonomic Systems Consisting of a Spherical Shell with a Moving Rigid Body Inside”, Regul. Chaotic Dyn., 19:2 (2014), 198–213	45 ^[x]
72.	Ivan S. Mamaev, Tatiana B. Ivanova, “The Dynamics of a Rigid Body with a Sharp Edge in Contact with an Inclined Surface in the Presence of Dry Friction”, Regul. Chaotic Dyn., 19:1 (2014), 116–139	16 ^[x]
73.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of Three Vortex Sources”, Regul. Chaotic Dyn., 19:6 (2014), 694–701	17 ^[x]
74.	Alexey V. Borisov, Nadezhda N. Erdakova, Tatiana B. Ivanova, Ivan S. Mamaev, “The Dynamics of a Body with an Axisymmetric Base Sliding on a Rough Plane”, Regul. Chaotic Dyn., 19:6 (2014), 607–634	17 ^[x]
75.	Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, Valentin A. Tenenev, “The dynamics of vortex rings: leapfrogging in an ideal and viscous fluid”, Fluid Dyn. Res., 46:3 (2014), 31415, 16 pp.	10 ^[x]
76.	Nadezhda N. Erdakova, Ivan S. Mamaev, “On the dynamics of point vortices in an annular region”, Fluid Dyn. Res., 46:3 (2014), 31420, 7 pp.	3 ^[x]

2013
77.	Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “The problem of drift and recurrence for the rolling Chaplygin ball”, Nelin. Dinam., 9:4 (2013), 721–754
78.	A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Geometrization of the Chaplygin reducing-multiplier theorem”, Nelin. Dinam., 9:4 (2013), 627–640
79.	Ivan S. Mamaev, Tatyana B. Ivanova, “The dynamics of rigid body whose sharp edge is in contact with a inclined surface with dry friction”, Nelin. Dinam., 9:3 (2013), 567–593
80.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside”, Nelin. Dinam., 9:3 (2013), 547–566
81.	Nadezhda N. Erdakova, Ivan S. Mamaev, “On the dynamics of a body with an axisymmetric base sliding on a rough plane”, Nelin. Dinam., 9:3 (2013), 521–545
82.	Alexey V. Borisov, Ivan S. Mamaev, Yury L. Karavaev, “On the loss of contact of the Euler disk”, Nelin. Dinam., 9:3 (2013), 499–506
83.	Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev, “The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere”, Nelin. Dinam., 9:2 (2013), 141–202
84.	Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “How to control the Chaplygin ball using rotors. II”, Nelin. Dinam., 9:1 (2013), 59–76
85.	Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “How to Control the Chaplygin Ball Using Rotors. II”, Regul. Chaotic Dyn., 18:1 (2013), 144–158	75 ^[x]
86.	Evgeny V. Vetchanin, Ivan S. Mamaev, Valentin A. Tenenev, “The Self-propulsion of a Body with Moving Internal Masses in a Viscous Fluid”, Regul. Chaotic Dyn., 18:1 (2013), 100–117	34 ^[x]
87.	Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “The Dynamics of Vortex Rings: Leapfrogging, Choreographies and the Stability Problem”, Regul. Chaotic Dyn., 18:1 (2013), 33–62	35 ^[x]
88.	Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of the Chaplygin Ball with a Fluid-filled Cavity”, Regul. Chaotic Dyn., 18:5 (2013), 490–496	11 ^[x]
89.	Alexey V. Borisov, Ivan S. Mamaev, “Topological Analysis of an Integrable System Related to the Rolling of a Ball on a Sphere”, Regul. Chaotic Dyn., 18:4 (2013), 356–371	27 ^[x]
90.	Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev, “The Hierarchy of Dynamics of a Rigid Body Rolling without Slipping and Spinning on a Plane and a Sphere”, Regul. Chaotic Dyn., 18:3 (2013), 277–328	110 ^[x]
91.	Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “The Problem of Drift and Recurrence for the Rolling Chaplygin Ball”, Regul. Chaotic Dyn., 18:6 (2013), 832–859	62 ^[x]
92.	A. V. Borisov, I. S. Mamaev, D. V. Treschev, “Rolling of a rigid body without slipping and spinning: kinematics and dynamics”, J. Appl. Nonlinear Dyn., 2:2 (2013), 161–173	11 ^[x]

2012
93.	Alexey V. Borisov, Ivan S. Mamaev, “Topological analysis of one integrable system related to the rolling of a ball over a sphere”, Nelin. Dinam., 8:5 (2012), 957–975
94.	Evgeny V. Vetchanin, Ivan S. Mamaev, Valentin A. Tenenev, “The motion of a body with variable mass geometry in a viscous fluid”, Nelin. Dinam., 8:4 (2012), 815–836

2013
95.	Alexey V. Borisov, Ivan S. Mamaev, Dmitrii V. Treschev, “Rolling of a rigid body without slipping and spinning: kinematics and dynamics”, J. Appl. Nonlinear Dyn., 2:2 (2013), 161–173

2012
96.	Alexey V. Bolsinov, Alexey V. Borisov, Ivan S. Mamaev, “Rolling without spinning of a ball on a plane: absence of an invariant measure in a system with a complete set of first integrals”, Nelin. Dinam., 8:3 (2012), 605–616
97.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “How to control the Chaplygin sphere using rotors”, Nelin. Dinam., 8:2 (2012), 289–307
98.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “The dynamics of vortex rings: Leapfrogging, choreographies and the stability problem”, Nelin. Dinam., 8:1 (2012), 113–147
99.	A. V. Borisov, I. S. Mamaev, “The dynamics of the Chaplygin ball with a fluid-filled cavity”, Nelin. Dinam., 8:1 (2012), 103–111
100.	Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “How to control Chaplygin’s sphere using rotors”, Regul. Chaotic Dyn., 17:3-4 (2012), 258–272	95 ^[x]
101.	Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Generalized Chaplygin’s transformation and explicit integration of a system with a spherical support”, Regul. Chaotic Dyn., 17:2 (2012), 170–190	27 ^[x]
102.	Alexey V. Borisov, Ivan S. Mamaev, “Two non-holonomic integrable problems tracing back to Chaplygin”, Regul. Chaotic Dyn., 17:2 (2012), 191–198	26 ^[x]
103.	Alexey V. Bolsinov, Alexey V. Borisov, Ivan S. Mamaev, “Rolling of a ball without spinning on a plane: the absence of an invariant measure in a system with a complete set of integrals”, Regul. Chaotic Dyn., 17:6 (2012), 571–579	38 ^[x]
104.	Alexey V. Bolsinov, Alexey V. Borisov, Ivan S. Mamaev, “The Bifurcation Analysis and the Conley Index in Mechanics”, Regul. Chaotic Dyn., 17:5 (2012), 451–478	23 ^[x]

2011
105.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “An omni-wheel vehicle on a plane and a sphere”, Nelin. Dinam., 7:4 (2011), 785–801
106.	A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “The bifurcation analysis and the Conley index in mechanics”, Nelin. Dinam., 7:3 (2011), 649–681
107.	A. V. Borisov, I. S. Mamaev, “Two non-holonomic integrable systems of coupled rigid bodies”, Nelin. Dinam., 7:3 (2011), 559–568
108.	A. V. Borisov, L. A. Gazizullina, I. S. Mamaev, “On V. A. Steklov's legacy in classical mechanics”, Nelin. Dinam., 7:2 (2011), 389–403
109.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Generalized Chaplygins transformation and explicit integration of a system with a spherical support”, Nelin. Dinam., 7:2 (2011), 313–338
110.	A. V. Borisov, I. S. Mamaev, A. V. Vas'kina, “Stability of new relative equilibria of the system of three point vortices in a circular domain”, Nelin. Dinam., 7:1 (2011), 119–138
111.	Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Hamiltonicity and integrability of the Suslov problem”, Regul. Chaotic Dyn., 16:1 (2011), 104–116	42 ^[x]
112.	Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Rolling of a Homogeneous Ball over a Dynamically Asymmetric Sphere”, Regul. Chaotic Dyn., 16:5 (2011), 465–483	26 ^[x]
113.	A.V. Bolsinov, A.V. Borisov, I. S. Mamaev, “Hamiltonization of Nonholonomic Systems in the Neighborhood of Invariant Manifolds”, Regul. Chaotic Dyn., 16:5 (2011), 443–464	60 ^[x]
114.	Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “On the Model of Non-holonomic Billiard”, Regul. Chaotic Dyn., 16:6 (2011), 653–662	5 ^[x]

2010
115.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Rolling of a homogeneous ball over a dynamically asymmetric sphere”, Nelin. Dinam., 6:4 (2010), 869–889
116.	A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Hamiltonisation of non-holonomic systems in the neighborhood of invariant manifolds”, Nelin. Dinam., 6:4 (2010), 829–854
117.	A. V. Borisov, I. S. Mamaev, T. B. Ivanova, “Stability of a liquid self-gravitating elliptic cylinder with intrinsic rotation”, Nelin. Dinam., 6:4 (2010), 807–822
118.	A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Dynamic advection”, Nelin. Dinam., 6:3 (2010), 521–530
119.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On the model of non-holonomic billiard”, Nelin. Dinam., 6:2 (2010), 373–385
120.	V. V. Vaskin, A. V. Vaskina, I. S. Mamaev, “Problems of stability and asymptotic behavior of vortex patches on the plane”, Nelin. Dinam., 6:2 (2010), 327–343
121.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Hamiltonian representation and integrability of the Suslov problem”, Nelin. Dinam., 6:1 (2010), 127–142
122.	A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Topology and stability of integrable systems”, Russian Math. Surveys, 65:2 (2010), 259–318
123.	A. V. Borisov, S. G. Lutsenko, I. S. Mamaev, “Dynamics of a wheeled carriage on a plane”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 4, 39–48
124.	I. S. Mamaev, “Method of discrete vortices in statistical vortex dynamics as a paradigm of computer methods of analysis”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 1, 146–155
125.	A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Coupled motion of a rigid body and point vortices on a two-dimensional spherical surface”, Regul. Chaotic Dyn., 15:4 (2010), 440–461	8 ^[x]
126.	A. V. Borisov, I. S. Mamaev, Nelin. Dinam., 6:4 (2010), 893–895
127.	A. V. Borisov, S. V. Bolotin, A. A. Kilin, I. S. Mamaev, D. V. Treschev, “Valery V. Kozlov: On the sixtieth birthday”, Nelin. Dinam., 6:3 (2010), 461–488

2009
128.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “New superintegrable system on a sphere”, Nelin. Dinam., 5:4 (2009), 455–462
129.	V. V. Vaskin, N. N. Erdakova, I. S. Mamaev, “Statistical mechanics of nonlinear dynamical systems”, Nelin. Dinam., 5:3 (2009), 385–402
130.	A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Coupled motion of a rigid body and point vortices on a sphere”, Nelin. Dinam., 5:3 (2009), 319–343
131.	A. V. Borisov, I. S. Mamaev, “Isomorphisms of geodesic flows on quadrics”, Nelin. Dinam., 5:2 (2009), 145–158
132.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Multiparticle systems. The algebra of integrals and integrable cases”, Nelin. Dinam., 5:1 (2009), 53–82
133.	I. S. Mamaev, “Parallel calculation methods for statistical mechanics problems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 4, 167–175
134.	I. S. Mamaev, “Multipurpose software system for research of mechanical systems with nonholonomic constraints”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 2, 147–160
135.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Multiparticle Systems. The Algebra of Integrals and Integrable Cases”, Regul. Chaotic Dyn., 14:1 (2009), 18–41	26 ^[x]
136.	A. V. Borisov, I. S. Mamaev, A. A. Kilin, “The Hamiltonian Dynamics of Self-gravitating Liquid and Gas Ellipsoids”, Regul. Chaotic Dyn., 14:2 (2009), 179–217	20 ^[x]
137.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Superintegrable system on a sphere with the integral of higher degree”, Regul. Chaotic Dyn., 14:6 (2009), 615–620	15 ^[x]
138.	A. V. Borisov, I. S. Mamaev, “Isomorphisms of geodesic flows on quadrics”, Regul. Chaotic Dyn., 14:4 (2009), 455–465	8 ^[x]

2008
139.	A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Algebraic reduction of systems on two- and three-dimensional spheres”, Nelin. Dinam., 4:4 (2008), 407–416
140.	A. V. Borisov, I. S. Mamaev, A. A. Kilin, “The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids”, Nelin. Dinam., 4:4 (2008), 363–407
141.	A. V. Borisov, I. S. Mamaev, “Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems”, Nelin. Dinam., 4:3 (2008), 223–280
142.	A.V. Borisov, Yu.N. Fedorov, I.S. Mamaev, “Chaplygin ball over a fixed sphere: an explicit integration”, Regul. Chaotic Dyn., 13:6 (2008), 557–571	52 ^[x]
143.	A. V. Borisov, I. S. Mamaev, “Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems”, Regul. Chaotic Dyn., 13:5 (2008), 443–490	114 ^[x]
144.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Stability of Steady Rotations in the Nonholonomic Routh Problem”, Regul. Chaotic Dyn., 13:4 (2008), 239–249	8 ^[x]
145.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Chaos in a Restricted Problem of Rotation of a Rigid Body with a Fixed Point”, Regul. Chaotic Dyn., 13:3 (2008), 221–233	3 ^[x]
146.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Absolute and Relative Choreographies in Rigid Body Dynamics”, Regul. Chaotic Dyn., 13:3 (2008), 204–220	5 ^[x]

2007
147.	A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Motion of two spheres in ideal fluid. I. Equations of motions in the Euclidean space. First integrals and reduction”, Nelin. Dinam., 3:4 (2007), 411–422
148.	A. V. Borisov, V. V. Kozlov, I. S. Mamaev, “Asymptotic stability and associated problems of dynamics of falling rigid body”, Nelin. Dinam., 3:3 (2007), 255–296
149.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “A new integrable problem of motion of point vortices on the sphere”, Nelin. Dinam., 3:2 (2007), 211–223
150.	A. V. Borisov, I. S. Mamaev, “On isomorphisms of some integrable systems on a plane and a sphere”, Nelin. Dinam., 3:1 (2007), 49–56
151.	A. V. Borisov, I. S. Mamaev, “Isomorphism and Hamilton representation of some nonholonomic systems”, Siberian Math. J., 48:1 (2007), 26–36
152.	A. V. Borisov, I. S. Mamaev, “Interaction between Kirchhoff vortices and point vortices in an ideal fluid”, Regul. Chaotic Dyn., 12:1 (2007), 68–80	2 ^[x]
153.	A. V. Borisov, V. V. Kozlov, I. S. Mamaev, “Asymptotic stability and associated problems of dynamics of falling rigid body”, Regul. Chaotic Dyn., 12:5 (2007), 531–565	39 ^[x]
154.	A. V. Borisov, I. S. Mamaev, “Rolling of a Non-homogeneous Ball Over a Sphere Without Slipping and Twisting”, Regul. Chaotic Dyn., 12:2 (2007), 153–159	33 ^[x]

2006
155.	A. V. Borisov, I. S. Mamaev, “An Integrable System with a Nonintegrable Constraint”, Math. Notes, 80:1 (2006), 127–130
156.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On a nonholonomic dynamical problem”, Math. Notes, 79:5 (2006), 734–740
157.	A. V. Borisov, I. S. Mamaev, “Rolling of a heterotgeneous ball over a sphere without sliding and spinning”, Nelin. Dinam., 2:4 (2006), 445–452
158.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Stability of steady rotations in the non-holonomic Routh problem”, Nelin. Dinam., 2:3 (2006), 333–345
159.	A. V. Borisov, I. S. Mamaev, “Reduction in the two-body problem on the Lobatchevsky plane”, Nelin. Dinam., 2:3 (2006), 279–285
160.	A. V. Borisov, I. S. Mamaev, “Interaction between Kirchhoff vortices and point vortices in an ideal fluid”, Nelin. Dinam., 2:2 (2006), 199–213
161.	A. V. Borisov, I. S. Mamaev, “Dynamics of two vortex rings on a sphere”, Nelin. Dinam., 2:2 (2006), 181–192
162.	A. V. Borisov, V. V. Kozlov, I. S. Mamaev, “On the fall of a heavy rigid body in an ideal fluid”, Proc. Steklov Inst. Math. (Suppl.), 12, suppl. 1 (2006), S24–S47
163.	A. V. Borisov, I. S. Mamaev, “On the problem of motion of vortex sources on a plane”, Regul. Chaotic Dyn., 11:4 (2006), 455–466	19 ^[x]

2005
164.	A. V. Borisov, I. S. Mamaev, “The Nonexistence of an Invariant Measure for an Inhomogeneous Ellipsoid Rolling on a Plane”, Math. Notes, 77:6 (2005), 855–857
165.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Reduction and chaotic behavior of point vortices on a plane and a sphere”, Nelin. Dinam., 1:2 (2005), 233–246
166.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Chaos in a restricted problem of rotation of a rigid body with a fixed point”, Nelin. Dinam., 1:2 (2005), 191–207
167.	A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Absolute and relative choreographies in rigid body dynamics”, Nelin. Dinam., 1:1 (2005), 123–141
168.	A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Interaction of two circular cylinders in a perfect fluid”, Nelin. Dinam., 1:1 (2005), 3–21
169.	A. V. Borisov, I. S. Mamaev, “Superintegrable systems on a sphere”, Regul. Chaotic Dyn., 10:3 (2005), 257–266	15 ^[x]

2004
170.	A. V. Borisov, I. S. Mamaev, “Integrability of the Problem of the Motion of a Cylinder and a Vortex in an Ideal Fluid”, Math. Notes, 75:1 (2004), 19–22
171.	A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Two-body problem on a sphere. Reduction, stochasticity, periodic orbits”, Regul. Chaotic Dyn., 9:3 (2004), 265–279	44 ^[x]
172.	A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Absolute and relative choreographies in the problem of point vortices moving on a plane”, Regul. Chaotic Dyn., 9:2 (2004), 101–111	28 ^[x]

2003
173.	A. V. Borisov, I. S. Mamaev, “Strange attractors in rattleback dynamics”, Phys. Usp., 46:4 (2003), 393–403
174.	A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Motion of a circular cylinder and $n$ point vortices in a perfect fluid”, Regul. Chaotic Dyn., 8:4 (2003), 449–462	38 ^[x]
175.	I. S. Mamaev, “New cases when the invariant measure and first integrals exist in the problem of a body rolling on a surface”, Regul. Chaotic Dyn., 8:3 (2003), 331–335	4 ^[x]
176.	A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Dynamics of rolling disk”, Regul. Chaotic Dyn., 8:2 (2003), 201–212	50 ^[x]
177.	A. V. Borisov, I. S. Mamaev, “An Integrability of the Problem on Motion of Cylinder and Vortex in the Ideal Fluid”, Regul. Chaotic Dyn., 8:2 (2003), 163–166	33 ^[x]

2002
178.	A. V. Borisov, I. S. Mamaev, A. A. Kilin, “The rolling motion of a ball on a surface. New integrals and hierarchy of dynamics”, Regul. Chaotic Dyn., 7:2 (2002), 201–219	104 ^[x]
179.	A. V. Borisov, I. S. Mamaev, “The rolling motion of a rigid body on a plane and a sphere. Hierarchy of dynamics”, Regul. Chaotic Dyn., 7:2 (2002), 177–200	151 ^[x]
180.	A. V. Borisov, I. S. Mamaev, “On the History of the Development of the Nonholonomic Dynamics”, Regul. Chaotic Dyn., 7:1 (2002), 43–47	29 ^[x]
181.	A. V. Borisov, I. S. Mamaev, “Generalization of the Goryachev–Chaplygin Case”, Regul. Chaotic Dyn., 7:1 (2002), 21–30	6 ^[x]

2001
182.	A. V. Borisov, I. S. Mamaev, “Chaplygin's Ball Rolling Problem Is Hamiltonian”, Math. Notes, 70:5 (2001), 720–723
183.	A. V. Borisov, I. S. Mamaev, “Euler–Poisson Equations and Integrable Cases”, Regul. Chaotic Dyn., 6:3 (2001), 253–276	8 ^[x]
184.	A. V. Borisov, I. S. Mamaev, A. G. Kholmskaya, “Kovalevskaya top and generalizations of integrable systems”, Regul. Chaotic Dyn., 6:1 (2001), 1–16	11 ^[x]

1999
185.	V. A. Chernoïvan, I. S. Mamaev, “The restricted two-body problem and the kepler problem in the constant curvature spaces”, Regul. Chaotic Dyn., 4:2 (1999), 112–124	9 ^[x]
186.	A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Lie algebras in vortex dynamics and celestial mechanics — IV”, Regul. Chaotic Dyn., 4:1 (1999), 23–50	27 ^[x]

1997
187.	A. V. Borisov, I. S. Mamaev, “Adiabaticheskii khaos v dinamike tverdogo tela”, Regul. Chaotic Dyn., 2:2 (1997), 65–78	5 ^[x]
188.	A. V. Borisov, I. S. Mamaev, “Nelineinye skobki Puassona i izomorfizmy v dinamike”, Regul. Chaotic Dyn., 2:3 (1997), 72–89	4 ^[x]

Presentations in Math-Net.Ru

1.	Vortex dynamics on nonsimply connected surfaces I. S. Mamaev Regular and Chaotic Dynamics. On the 30th Anniversary of the Journal Regular and Chaotic Dynamics October 31, 2025 12:45
2.	Point vortices on a cylinder and on a torus I. S. Mamaev Conference Regular & Chaotic Dynamics in memory of Alexey V. Borisov March 26, 2025 12:00
3.	Tensor invariants and conservation laws in mechanics I. S. Mamaev Dynamics days in Sirius. On the occasion of academician Dmitry V. Treschev’s anniversary October 31, 2024 12:10
4.	Nonlinear Aссeleration in Nonholonomic Meсhaniсs I. S. Mamaev, I. A. Bizyaev, A. A. Kilin III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 8, 2023 17:35
5.	Нелинейное ускорение в неголономной механике, задача о роллер-рейсере I. S. Mamaev Hamiltonian systems and statistical mechanics April 24, 2023 16:30
6.	Динамика частиц в метрике Керра: интегральные многообразия и бифуркации I. S. Mamaev School of Young Mechanics and Mathematicians SYMM 2022 October 7, 2022 14:10
7.	Permanent rotations in nonholonomic mechanics I. S. Mamaev V.V. Rumyantsev Seminar on Analytical Mechanics and Stability Theory May 11, 2022 17:00
8.	Dynamics of an unbalanced circular foil and point vortices in an ideal fluid I. S. Mamaev Regular and Chaotic Dynamics November 22, 2021 12:10
9.	Динамика мобильных роботов с периодическим управлением E. V. Vetchanin, I. S. Mamaev August 13, 2021 15:30
10.	Качественный анализ динамики частиц в метрике Кера I. S. Mamaev August 13, 2021 14:30
11.	Качественный анализ геодезических метрики Керра. I. S. Mamaev, I. A. Bizyaev Hamiltonian systems and statistical mechanics May 17, 2021 16:45
12.	Движение гладкого профиля в жидкости под действием внешних периодических сил I. S. Mamaev International School of Young Mechanics and Mathematicians "Modern nonlinear dynamics" November 6, 2019 11:45
13.	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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