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Mamaev, Ivan Sergeevich

Author ID: mamaev.ivan-s Recent zbMATH articles by "Mamaev, Ivan Sergeevich"
Published as: Mamaev, Ivan S.; Mamaev, I. S.; Mamaev, Ivan Sergeevich; Mamaev, Ivan; Mamayev, I. S.; Mamaev, Ivan. S.
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Publications by Year

Citations contained in zbMATH Open

153 Publications have been cited 2,274 times in 778 Documents Cited by Year
Dynamics of a rigid body. Hamiltonian methods, integrability, chaos. 2nd ed. (Динамика твердого тела. Гамильтоновы методы, интегрируемость, хаос.) Zbl 1114.70001
Borisov, A. V.; Mamaev, I. S.
90
2005
Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics. Zbl 1058.70009
Borisov, A. V.; Mamaev, I. S.
77
2002
Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems. Zbl 1229.70038
Borisov, A. V.; Mamaev, I. S.
73
2008
The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere. Zbl 1367.70007
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
64
2013
Dynamics of rigid body. (Динамика твердого тела.) Zbl 1004.70002
Borisov, A. V.; Mamaev, I. S.
63
2001
Rolling of a ball on a surface. New integrals and hierarchy of dynamics. Zbl 1058.70010
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
62
2002
How to control Chaplygin’s sphere using rotors. Zbl 1264.37016
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
55
2012
Chaplygin’s ball rolling problem is Hamiltonian. Zbl 1030.70002
Borisov, A. V.; Mamaev, I. S.
43
2001
How to control the Chaplygin ball using rotors. II. Zbl 1303.37021
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
42
2013
Topology and stability of integrable systems. Zbl 1202.37077
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
42
2010
The problem of drift and recurrence for the rolling Chaplygin ball. Zbl 1286.70007
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
40
2013
Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds. Zbl 1309.37049
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
38
2011
Symmetries and reduction in nonholonomic mechanics. Zbl 1342.37001
Borisov, Alexey V.; Mamaev, Ivan S.
38
2015
Mathematical methods in dynamics of vortex structures. (Математические методы динамики вихревых структур.) Zbl 1119.76001
Borisov, A. V.; Mamaev, I. S.
36
2005
Two-body problem on a sphere. Reduction, stochasticity, periodic orbits. Zbl 1065.37058
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
36
2004
Chaplygin ball over a fixed sphere: an explicit integration. Zbl 1229.37080
Borisov, A. V.; Fedorov, Yu. N.; Mamaev, I. S.
33
2008
Dynamics of the Chaplygin sledge. Zbl 1183.74080
Borisov, A. V.; Mamayev, I. S.
33
2009
The Jacobi integral in nonholonomic mechanics. Zbl 1367.70036
Borisov, Alexey V.; Mamaev, Ivan. S.; Bizyaev, Ivan. A.
31
2015
Modern methods in the theory of integrable systems. Bi-Hamiltonian description, Lax representation, and separation of variables. (Современные методы теории интегрируемых систем. Бигамильтоново описание, представление Лакса, разделение переменных.) Zbl 1101.37041
Borisov, A. V.; Mamaev, I. S.
30
2003
Poisson structures and Lie algebras in Hamiltonian mechanics. (Пуассоновы структуры и алгебры Ли в гамильтоновой механике.) Zbl 1010.70002
Borisov, A. V.; Mamaev, I. S.
30
1999
Isomorphism and Hamilton representation of some nonholonomic systems. Zbl 1164.37342
Borisov, A. V.; Mamaev, I. S.
29
2007
The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside. Zbl 1308.70003
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
28
2014
Asymptotic stability and associated problems of dynamics of falling rigid body. Zbl 1229.37107
Borisov, A. V.; Kozlov, V. V.; Mamaev, I. S.
28
2007
Hamiltonicity and integrability of the Suslov problem. Zbl 1277.70008
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
28
2011
The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration. Zbl 1398.37056
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
28
2017
Dynamics of rolling disk. Zbl 1112.37320
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
27
2003
On the motion of a heavy rigid body in an ideal fluid with circulation. Zbl 1144.37324
Borisov, Alexey V.; Mamaev, Ivan S.
25
2006
Geometrisation of Chaplygin’s reducing multiplier theorem. Zbl 1333.37103
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
25
2015
On the Hadamard-Hamel problem and the dynamics of wheeled vehicles. Zbl 1367.70034
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
24
2015
Dynamic interaction of point vortices and a two-dimensional cylinder. Zbl 1144.81318
Borisov, Alexey V.; Mamaev, Ivan S.; Ramodanov, Sergey M.
24
2007
Rolling of a ball without spinning on a plane: the absence of an invariant measure in a system with a complete set of integrals. Zbl 1267.37066
Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S.
23
2012
Non-holonomic dynamics and Poisson geometry. Zbl 1348.70038
Borisov, A. V.; Mamaev, I. S.; Tsiganov, A. V.
22
2014
Topological analysis of an integrable system related to the rolling of a ball on a sphere. Zbl 1334.37059
Borisov, Alexey V.; Mamaev, Ivan S.
22
2013
Motion of a circular cylinder and \(n\) point vortices in a perfect fluid. Zbl 1051.76009
Borisov, A. V.; Mamaev, I. S.; Ramodanov, S. M.
21
2003
The spatial problem of 2 bodies on a sphere. Reduction and stochasticity. Zbl 1402.70015
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
21
2016
Fermi-like acceleration and power-law energy growth in nonholonomic systems. Zbl 1418.37106
Bizyaev, I. A.; Borisov, A. V.; Kozlov, V. V.; Mamaev, I. S.
21
2019
Rolling of a non-homogeneous ball over a sphere without slipping and twisting. Zbl 1229.37081
Borisov, A. V.; Mamaev, I. S.
21
2007
An integrability of the problem on motion of cylinder and vortex in the ideal fluid. Zbl 1112.37315
Borisov, A. V.; Mamaev, I. S.
21
2003
Generalized Chaplygin’s transformation and explicit integration of a system with a spherical support. Zbl 1253.37063
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
20
2012
The Hess case in rigid-body dynamics. Zbl 1066.70504
Borisov, A. V.; Mamayev, I. S.
19
2003
The restricted two-body problem in constant curvature spaces. Zbl 1116.70015
Borisov, Alexey V.; Mamaev, Ivan S.
19
2006
Exotic dynamics of nonholonomic roller racer with periodic control. Zbl 1412.37064
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
19
2018
Multiparticle systems. The algebra of integrals and integrable cases. Zbl 1229.37106
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
19
2009
Lie algebras in vortex dynamics and celestial mechanics. IV. Zbl 1076.76513
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
18
1999
New effects in dynamics of rattlebacks. Zbl 1206.70007
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
18
2006
Dynamics and control of an omniwheel vehicle. Zbl 1367.70033
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
17
2015
Superintegrable systems on a sphere. Zbl 1077.37520
Borisov, A. V.; Mamaev, I. S.
16
2005
The dynamics of vortex rings: leapfrogging, choreographies and the stability problem. Zbl 1273.76067
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
16
2013
Rigid body dynamics. Zbl 1450.70001
Borisov, Alexey V.; Mamaev, Ivan S.
16
2019
Absolute and relative choreographies in the problem of point vortices moving on a plane. Zbl 1079.76020
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
15
2004
Relations between integrable systems in plane and curved spaces. Zbl 1202.70062
Borisov, Alexey V.; Mamaev, Ivan S.
15
2007
Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups. Zbl 1367.53030
Bizyaev, Ivan Alekseevich; Borisov, Alekseĭ Vladimirovich; Kilin, Aleksandr Aleksandrovich; Mamaev, Ivan Sergeevich
14
2016
Qualitative analysis of the dynamics of a wheeled vehicle. Zbl 1367.70035
Borisov, Alexey V.; Mamaev, Ivan S.; Kilin, Alexander A.; Bizyaev, Ivan A.
14
2015
Superintegrable generalizations of the Kepler and Hook problems. Zbl 1309.70020
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
14
2014
Rolling of a homogeneous ball over a dynamically asymmetric sphere. Zbl 1309.37080
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
14
2011
The self-propulsion of a body with moving internal masses in a viscous fluid. Zbl 1329.70052
Vetchanin, Evgeny V.; Mamaev, Ivan S.; Tenenev, Valentin A.
14
2013
On the problem of motion of vortex sources on a plane. Zbl 1164.37353
Borisov, A. V.; Mamaev, I. S.
14
2006
Bifurcation analysis and the Conley index in mechanics. Zbl 1252.76055
Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S.
14
2012
Reduction and relative equilibria for the two-body problem on spaces of constant curvature. Zbl 1396.70011
Borisov, A. V.; García-Naranjo, L. C.; Mamaev, I. S.; Montaldi, J.
14
2018
Historical and critical review of the development of nonholonomic mechanics: the classical period. Zbl 1352.37172
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
14
2016
On the history of the development of the nonholonomic dynamics. Zbl 1011.70002
Borisov, A. V.; Mamaev, I. S.
13
2002
Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics. Zbl 1446.70034
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
13
2017
Generalized problem of two and four Newtonian centers. Zbl 1129.70010
Borisov, Alexey V.; Mamaev, Ivan S.
13
2005
Two non-holonomic integrable problems tracing back to Chaplygin. Zbl 1252.76056
Borisov, Alexey V.; Mamaev, Ivan S.
13
2012
Rolling of a rigid body without slipping and spinning: kinematics and dynamics. Zbl 1367.70006
Borisov, A. V.; Mamaev, I. S.; Treschev, D. V.
13
2013
Topology and bifurcations in nonholonomic mechanics. Zbl 1326.70022
Bizyaev, Ivan A.; Bolsinov, Alexey; Borisov, Alexey; Mamaev, Ivan
12
2015
Superintegrable system on a sphere with the integral of higher degree. Zbl 1229.70052
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
12
2009
The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids. Zbl 1229.70049
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
12
2009
Different models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problem. Zbl 1437.37078
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
12
2019
The dynamics of three vortex sources. Zbl 1342.37078
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
12
2014
The Hess-Appelrot system and its nonholonomic analogs. Zbl 1404.70034
Bizyaev, I. A.; Borisov, A. V.; Mamaev, I. S.
11
2016
Reduction and chaotic behavior of point vortices on a plane and a sphere. Zbl 1144.37458
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
11
2005
Rigid body dynamics in non-Euclidean spaces. Zbl 1406.70009
Borisov, A. V.; Mamaev, I. S.
11
2016
Hamiltonization of elementary nonholonomic systems. Zbl 1360.70022
Bizyaev, I. A.; Borisov, A. V.; Mamaev, I. S.
10
2015
Dynamics of a smooth profile in a medium with friction in the presence of parametric excitation. Zbl 1411.70027
Borisov, Alexey V.; Mamaev, Ivan S.; Vetchanin, Eugeny V.
10
2018
The Hess-Appelrot case and quantization of the rotation number. Zbl 1370.70023
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
9
2017
The restricted two-body problem and the Kepler problem in the constant curvature spaces. Zbl 1137.70339
Chernoïvan, V. A.; Mamaev, I. S.
9
1999
Dynamics of the Chaplygin sleigh on a cylinder. Zbl 1346.70006
Bizyaev, Ivan Alekseevich; Borisov, Alekseĭ Vladimirovich; Mamaev, Ivan Sergeevich
9
2016
Self-propulsion of a smooth body in a viscous fluid under periodic oscillations of a rotor and circulation. Zbl 1412.37076
Borisov, Alexey V.; Mamaev, Ivan S.; Vetchanin, Evgeny V.
9
2018
Dynamics of the Chaplygin ball on a rotating plane. Zbl 1435.70017
Bizyaev, I. A.; Borisov, A. V.; Mamaev, I. S.
9
2018
The dynamics of a body with an axisymmetric base sliding on a rough plane. Zbl 1353.70038
Borisov, Alexey V.; Erdakova, Nadezhda N.; Ivanova, Tatiana B.; Mamaev, Ivan S.
9
2014
The dynamics of the Chaplygin ball with a fluid-filled cavity. Zbl 1286.70008
Borisov, Alexey V.; Mamaev, Ivan S.
9
2013
Experimental investigation of the motion of a body with an axisymmetric base sliding on a rough plane. Zbl 1343.70017
Borisov, Alexey V.; Karavaev, Yury L.; Mamaev, Ivan S.; Erdakova, Nadezhda N.; Ivanova, Tatyana B.; Tarasov, Valery V.
9
2015
An inhomogeneous Chaplygin sleigh. Zbl 1404.37073
Borisov, Alexey V.; Mamaev, Ivan S.
8
2017
The nonexistence of an invariant measure for an inhomogeneous ellipsoid rolling on a plane. Zbl 1081.37539
Borisov, A. V.; Mamaev, I. S.
8
2005
Dynamics of rubber Chaplygin sphere under periodic control. Zbl 1437.37082
Mamaev, Ivan S.; Vetchanin, Evgeny V.
8
2020
Theoretical and experimental investigations of the rolling of a ball on a rotating plane (turntable). Zbl 1421.70011
Borisov, Alexey V.; Ivanova, Tatiana B.; Karavaev, Yury L.; Mamaev, Ivan S.
8
2018
Dynamics of two point vortices in an external compressible shear flow. Zbl 1401.76039
Vetchanin, Evgeny V.; Mamaev, Ivan S.
8
2017
Nonholonomic rolling of a ball on the surface of a rotating cone. Zbl 1430.37068
Borisov, Alexey V.; Ivanova, Tatiana B.; Kilin, Alexander A.; Mamaev, Ivan S.
8
2019
The dynamics of vortex sources in a deformation flow. Zbl 1346.76118
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
8
2016
Dynamics of a body with a sharp edge in a viscous fluid. Zbl 1418.37126
Mamaev, Ivan S.; Tenenev, Valentin A.; Vetchanin, Evgeniĭ V.
7
2018
Invariant submanifolds of genus 5 and a Cantor staircase in the nonholonomic model of a snakeboard. Zbl 1411.70022
Borisov, Alexey; Kilin, Alexander; Mamaev, Ivan
7
2019
Isomorphisms of geodesic flows on quadrics. Zbl 1229.37096
Borisov, A. V.; Mamaev, I. S.
7
2009
Explicit integration of one problem in nonholonomic mechanics. Zbl 1206.70011
Borisov, A. V.; Mamaev, I. S.; Marikhin, V. G.
7
2008
The Hojman construction and hamiltonization of nonholonomic systems. Zbl 1331.37087
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
7
2016
The dynamics of a rigid body with a sharp edge in contact with an inclined surface in the presence of dry friction. Zbl 1353.70013
Mamaev, Ivan S.; Ivanova, Tatiana B.
7
2014
Dynamics of a circular cylinder interacting with point vortices. Zbl 1064.37066
Borisov, A. V.; Mamaev, I. S.; Ramodanov, S. M.
6
2005
Nonlinear Poisson brackets and isomorphisms in dynamics. Zbl 0954.37032
Borisov, A. V.; Mamaev, I. S.
6
1997
Adiabatic chaos in rigid body dynamics. Zbl 0933.70007
Borisov, A. V.; Mamaev, I. S.
6
1997
Stability of steady rotations in the nonholonomic Routh problem. Zbl 1229.70021
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
6
2008
Roller racer with varying gyrostatic momentum: acceleration criterion and strange attractors. Zbl 1522.37074
Bizyaev, Ivan A.; Mamaev, Ivan S.
1
2023
Permanent rotations in nonholonomic mechanics. Omnirotational ellipsoid. Zbl 1517.37065
Bizyaev, Ivan A.; Mamaev, Ivan S.
2
2022
Periodic perturbation of motion of an unbalanced circular foil in the presence of point vortices in an ideal fluid. Zbl 1508.70008
Vetchanin, Evgeniĭ Vladimirovich; Mamaev, Ivan Sergeevich
1
2022
Normal forms and averaging in an acceleration problem in nonholonomic mechanics. Zbl 1465.70056
Bizyaev, Ivan; Bolotin, Sergey; Mamaev, Ivan
3
2021
Qualitative analysis of the dynamics of a balanced circular foil and a vortex. Zbl 1482.76014
Bizyaev, Ivan A.; Mamaev, Ivan S.
1
2021
Dynamics of rubber Chaplygin sphere under periodic control. Zbl 1437.37082
Mamaev, Ivan S.; Vetchanin, Evgeny V.
8
2020
Dynamics of the nonholonomic Suslov problem under periodic control: unbounded speedup and strange attractors. Zbl 1514.37087
Bizyaev, Ivan A.; Mamaev, Ivan S.
5
2020
Dynamics of a pair of point vortices and a foil with parametric excitation in an ideal fluid. Zbl 1479.76019
Bizyaev, Ivan Alekseevich; Mamaev, Ivan Sergeevich
3
2020
Dynamics of a spherical robot with variable moments of inertia and a displaced center of mass. Zbl 1483.70003
Artemova, Elizaveta M.; Karavaev, Yury L.; Mamaev, Ivan S.; Vetchanin, Evgeny V.
2
2020
Circular orbits of a ball on a rotating conical turntable. Zbl 1434.70017
Borisov, Alexey V.; Ivanova, Tatiana B.; Kilin, Alexander A.; Mamaev, Ivan S.
1
2020
Fermi-like acceleration and power-law energy growth in nonholonomic systems. Zbl 1418.37106
Bizyaev, I. A.; Borisov, A. V.; Kozlov, V. V.; Mamaev, I. S.
21
2019
Rigid body dynamics. Zbl 1450.70001
Borisov, Alexey V.; Mamaev, Ivan S.
16
2019
Different models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problem. Zbl 1437.37078
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
12
2019
Nonholonomic rolling of a ball on the surface of a rotating cone. Zbl 1430.37068
Borisov, Alexey V.; Ivanova, Tatiana B.; Kilin, Alexander A.; Mamaev, Ivan S.
8
2019
Invariant submanifolds of genus 5 and a Cantor staircase in the nonholonomic model of a snakeboard. Zbl 1411.70022
Borisov, Alexey; Kilin, Alexander; Mamaev, Ivan
7
2019
Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions. Zbl 1430.70012
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
2
2019
Motion of a smooth foil in a fluid under the action of external periodic forces. I. Zbl 1448.74030
Borisov, A. V.; Vetchanin, E. V.; Mamaev, I. S.
2
2019
Exotic dynamics of nonholonomic roller racer with periodic control. Zbl 1412.37064
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
19
2018
Reduction and relative equilibria for the two-body problem on spaces of constant curvature. Zbl 1396.70011
Borisov, A. V.; García-Naranjo, L. C.; Mamaev, I. S.; Montaldi, J.
14
2018
Dynamics of a smooth profile in a medium with friction in the presence of parametric excitation. Zbl 1411.70027
Borisov, Alexey V.; Mamaev, Ivan S.; Vetchanin, Eugeny V.
10
2018
Self-propulsion of a smooth body in a viscous fluid under periodic oscillations of a rotor and circulation. Zbl 1412.37076
Borisov, Alexey V.; Mamaev, Ivan S.; Vetchanin, Evgeny V.
9
2018
Dynamics of the Chaplygin ball on a rotating plane. Zbl 1435.70017
Bizyaev, I. A.; Borisov, A. V.; Mamaev, I. S.
9
2018
Theoretical and experimental investigations of the rolling of a ball on a rotating plane (turntable). Zbl 1421.70011
Borisov, Alexey V.; Ivanova, Tatiana B.; Karavaev, Yury L.; Mamaev, Ivan S.
8
2018
Dynamics of a body with a sharp edge in a viscous fluid. Zbl 1418.37126
Mamaev, Ivan S.; Tenenev, Valentin A.; Vetchanin, Evgeniĭ V.
7
2018
The self-propulsion of a foil with a sharp edge in a viscous fluid under the action of a periodically oscillating rotor. Zbl 1412.37077
Mamaev, Ivan S.; Vetchanin, Evgeny V.
5
2018
A nonholonomic model of the Paul trap. Zbl 1400.37075
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
5
2018
An invariant measure and the probability of a fall in the problem of an inhomogeneous disk rolling on a plane. Zbl 1410.37059
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
4
2018
Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability. Zbl 1411.76116
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
3
2018
Dynamics of three vortices on a sphere. Zbl 1400.76055
Borisov, Alexey V.; Mamaev, Ivan S.; Kilin, Alexander A.
3
2018
The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration. Zbl 1398.37056
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
28
2017
Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics. Zbl 1446.70034
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
13
2017
The Hess-Appelrot case and quantization of the rotation number. Zbl 1370.70023
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
9
2017
An inhomogeneous Chaplygin sleigh. Zbl 1404.37073
Borisov, Alexey V.; Mamaev, Ivan S.
8
2017
Dynamics of two point vortices in an external compressible shear flow. Zbl 1401.76039
Vetchanin, Evgeny V.; Mamaev, Ivan S.
8
2017
Optimal control of the motion of a helical body in a liquid using rotors. Zbl 1386.76183
Vetchanin, E. V.; Mamaev, I. S.
1
2017
The spatial problem of 2 bodies on a sphere. Reduction and stochasticity. Zbl 1402.70015
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
21
2016
Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups. Zbl 1367.53030
Bizyaev, Ivan Alekseevich; Borisov, Alekseĭ Vladimirovich; Kilin, Aleksandr Aleksandrovich; Mamaev, Ivan Sergeevich
14
2016
Historical and critical review of the development of nonholonomic mechanics: the classical period. Zbl 1352.37172
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
14
2016
The Hess-Appelrot system and its nonholonomic analogs. Zbl 1404.70034
Bizyaev, I. A.; Borisov, A. V.; Mamaev, I. S.
11
2016
Rigid body dynamics in non-Euclidean spaces. Zbl 1406.70009
Borisov, A. V.; Mamaev, I. S.
11
2016
Dynamics of the Chaplygin sleigh on a cylinder. Zbl 1346.70006
Bizyaev, Ivan Alekseevich; Borisov, Alekseĭ Vladimirovich; Mamaev, Ivan Sergeevich
9
2016
The dynamics of vortex sources in a deformation flow. Zbl 1346.76118
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
8
2016
The Hojman construction and hamiltonization of nonholonomic systems. Zbl 1331.37087
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
7
2016
Control of the motion of a helical body in a fluid using rotors. Zbl 1369.70022
Vetchanin, Evgeny V.; Kilin, Alexander A.; Mamaev, Ivan S.
5
2016
Dynamics of a body sliding on a rough plane and supported at three points. Zbl 1474.70019
Borisov, Alexey V.; Mamaev, Ivan S.; Erdakova, Nadezhda N.
3
2016
Adiabatic invariants, diffusion and acceleration in rigid body dynamics. Zbl 1377.70021
Borisov, Alexey V.; Mamaev, Ivan S.
3
2016
Dynamics of a Painlevé-Appell system. Zbl 1434.70039
Ivanova, T. B.; Mamaev, I. S.
3
2016
Symmetries and reduction in nonholonomic mechanics. Zbl 1342.37001
Borisov, Alexey V.; Mamaev, Ivan S.
38
2015
The Jacobi integral in nonholonomic mechanics. Zbl 1367.70036
Borisov, Alexey V.; Mamaev, Ivan. S.; Bizyaev, Ivan. A.
31
2015
Geometrisation of Chaplygin’s reducing multiplier theorem. Zbl 1333.37103
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
25
2015
On the Hadamard-Hamel problem and the dynamics of wheeled vehicles. Zbl 1367.70034
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
24
2015
Dynamics and control of an omniwheel vehicle. Zbl 1367.70033
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
17
2015
Qualitative analysis of the dynamics of a wheeled vehicle. Zbl 1367.70035
Borisov, Alexey V.; Mamaev, Ivan S.; Kilin, Alexander A.; Bizyaev, Ivan A.
14
2015
Topology and bifurcations in nonholonomic mechanics. Zbl 1326.70022
Bizyaev, Ivan A.; Bolsinov, Alexey; Borisov, Alexey; Mamaev, Ivan
12
2015
Hamiltonization of elementary nonholonomic systems. Zbl 1360.70022
Bizyaev, I. A.; Borisov, A. V.; Mamaev, I. S.
10
2015
Experimental investigation of the motion of a body with an axisymmetric base sliding on a rough plane. Zbl 1343.70017
Borisov, Alexey V.; Karavaev, Yury L.; Mamaev, Ivan S.; Erdakova, Nadezhda N.; Ivanova, Tatyana B.; Tarasov, Valery V.
9
2015
Equations of motion of non-holonomic systems. Zbl 1343.37054
Borisov, A. V.; Mamaev, I. S.
3
2015
Figures of equilibrium of an inhomogeneous self-gravitating fluid. Zbl 1409.76146
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
3
2015
The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside. Zbl 1308.70003
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
28
2014
Non-holonomic dynamics and Poisson geometry. Zbl 1348.70038
Borisov, A. V.; Mamaev, I. S.; Tsiganov, A. V.
22
2014
Superintegrable generalizations of the Kepler and Hook problems. Zbl 1309.70020
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
14
2014
The dynamics of three vortex sources. Zbl 1342.37078
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
12
2014
The dynamics of a body with an axisymmetric base sliding on a rough plane. Zbl 1353.70038
Borisov, Alexey V.; Erdakova, Nadezhda N.; Ivanova, Tatiana B.; Mamaev, Ivan S.
9
2014
The dynamics of a rigid body with a sharp edge in contact with an inclined surface in the presence of dry friction. Zbl 1353.70013
Mamaev, Ivan S.; Ivanova, Tatiana B.
7
2014
The dynamics of vortex rings: leapfrogging in an ideal and viscous fluid. Zbl 1307.76036
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.; Tenenev, Valentin A.
5
2014
On the dynamics of a body with an axisymmetric base sliding on a rough plane. Zbl 1353.70037
Borisov, Alexey V.; Erdakova, Nadezhda N.; Ivanova, Tatiana B.; Mamaev, Ivan S.
2
2014
On the dynamics of point vortices in an annular region. Zbl 1307.76016
Erdakova, Nadezhda N.; Mamaev, Ivan S.
1
2014
Figures of equilibrium of an inhomogeneous self-gravitating fluid. Zbl 1310.76175
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
1
2014
On the nonlinear Poisson bracket arising in nonholonomic mechanics. Zbl 1348.70039
Borisov, A. V.; Mamaev, I. S.; Tsyganov, A. V.
1
2014
The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere. Zbl 1367.70007
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
64
2013
How to control the Chaplygin ball using rotors. II. Zbl 1303.37021
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
42
2013
The problem of drift and recurrence for the rolling Chaplygin ball. Zbl 1286.70007
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
40
2013
Topological analysis of an integrable system related to the rolling of a ball on a sphere. Zbl 1334.37059
Borisov, Alexey V.; Mamaev, Ivan S.
22
2013
The dynamics of vortex rings: leapfrogging, choreographies and the stability problem. Zbl 1273.76067
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
16
2013
The self-propulsion of a body with moving internal masses in a viscous fluid. Zbl 1329.70052
Vetchanin, Evgeny V.; Mamaev, Ivan S.; Tenenev, Valentin A.
14
2013
Rolling of a rigid body without slipping and spinning: kinematics and dynamics. Zbl 1367.70006
Borisov, A. V.; Mamaev, I. S.; Treschev, D. V.
13
2013
The dynamics of the Chaplygin ball with a fluid-filled cavity. Zbl 1286.70008
Borisov, Alexey V.; Mamaev, Ivan S.
9
2013
How to control Chaplygin’s sphere using rotors. Zbl 1264.37016
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
55
2012
Rolling of a ball without spinning on a plane: the absence of an invariant measure in a system with a complete set of integrals. Zbl 1267.37066
Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S.
23
2012
Generalized Chaplygin’s transformation and explicit integration of a system with a spherical support. Zbl 1253.37063
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
20
2012
Bifurcation analysis and the Conley index in mechanics. Zbl 1252.76055
Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S.
14
2012
Two non-holonomic integrable problems tracing back to Chaplygin. Zbl 1252.76056
Borisov, Alexey V.; Mamaev, Ivan S.
13
2012
Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds. Zbl 1309.37049
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
38
2011
Hamiltonicity and integrability of the Suslov problem. Zbl 1277.70008
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
28
2011
Rolling of a homogeneous ball over a dynamically asymmetric sphere. Zbl 1309.37080
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
14
2011
On the model of non-holonomic billiard. Zbl 1253.70008
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
3
2011
Topology and stability of integrable systems. Zbl 1202.37077
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
42
2010
Coupled motion of a rigid body and point vortices on a two-dimensional spherical surface. Zbl 1258.76050
Borisov, A. V.; Mamaev, I. S.; Ramodanov, S. M.
4
2010
Basic principles and models of dynamic advection. Zbl 1337.76069
Borisov, A. V.; Mamaev, I. S.; Ramodanov, S. M.
2
2010
Dynamics of the Chaplygin sledge. Zbl 1183.74080
Borisov, A. V.; Mamayev, I. S.
33
2009
Multiparticle systems. The algebra of integrals and integrable cases. Zbl 1229.37106
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
19
2009
Superintegrable system on a sphere with the integral of higher degree. Zbl 1229.70052
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
12
2009
The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids. Zbl 1229.70049
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
12
2009
Isomorphisms of geodesic flows on quadrics. Zbl 1229.37096
Borisov, A. V.; Mamaev, I. S.
7
2009
Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems. Zbl 1229.70038
Borisov, A. V.; Mamaev, I. S.
73
2008
Chaplygin ball over a fixed sphere: an explicit integration. Zbl 1229.37080
Borisov, A. V.; Fedorov, Yu. N.; Mamaev, I. S.
33
2008
Explicit integration of one problem in nonholonomic mechanics. Zbl 1206.70011
Borisov, A. V.; Mamaev, I. S.; Marikhin, V. G.
7
2008
Stability of steady rotations in the nonholonomic Routh problem. Zbl 1229.70021
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
6
2008
A new integrable problem of motion of point vortices on the sphere. Zbl 1207.76030
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
6
2008
Chaos in a restricted problem of rotation of a rigid body with a fixed point. Zbl 1229.70011
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
3
2008
...and 53 more Documents
all top 5

Cited by 660 Authors

113 Borisov, Alekseĭ Vladimirovich
106 Mamaev, Ivan Sergeevich
59 Kilin, Aleksandr Aleksandrovich
37 Bizyaev, Ivan Alekseevich
31 Tsyganov, Andreĭ Vladimirovich
19 García-Naranjo, Luis C.
19 Vetchanin, Evgeniĭ Vladimirovich
16 Pivovarova, Elena Nikolaevna
14 Mikishanina, Evgeniya Arifzhanovna
13 Dragović, Vladimir
13 Karavaev, Yurĭ Leonidovich
13 Ryabov, Pavel Evgen’evich
12 Kazakov, Alexey O.
12 Kurakin, Leonid Gennadievich
12 Sokolov, Sergeĭ Viktorovich
11 Gajić, Borislav
11 Przybylska, Maria
10 Bolsinov, Alexey V.
10 Kozlov, Valeriĭ Vasil’evich
10 Kudryashov, Nikolaĭ Alekseevich
9 Ivanova, Tatiana B.
9 Maciejewski, Andrzej J.
8 Balseiro, Paula
8 Gorr, Gennadiĭ Viktorovich
8 Jovanović, Božidar Žarko
8 Ostrovskaya, Irina V.
7 Kuznetsov, Sergey P.
7 Pérez-Chavela, Ernesto
7 Ramodanov, Sergey M.
7 Sansonetto, Nicola
6 Artemova, Elizaveta Markovna
6 Bloch, Anthony Michael
6 Fassò, Francesco
6 Ivanov, Aleksandr Pavlovich
6 Kanso, Eva Adnan
6 Montaldi, James A.
6 Ol’shanskii, V. Yu.
6 Tenenev, Valentin Alekseevich
5 Albouy, Alain
5 Cariñena, José F.
5 Fernandez, Oscar E.
5 Ivanova, Tatyana B.
5 Koiller, Jair
5 Llibre, Jaume
5 Marrero, Juan Carlos
5 Zhu, Shuqiang
4 Bardin, Boris Sabirovich
4 Cendra, Hernán
4 Irtegov, Valentin Dmitrievich
4 Klekovkin, Anton Vladimirovich
4 Latini, Danilo
4 Markeev, Anatoliĭ Pavlovich
4 Oshemkov, Andreĭ Aleksandrovich
4 Pranevich, Andreĭ F.
4 Putkaradze, Vakhtang
4 Rañada, Manuel F.
4 Rauch-Wojciechowski, Stefan
4 Sachkov, Yuriĭ Leonidovich
4 Sánchez-Cerritos, Juan Manuel
4 Shashikanth, Banavara N.
4 Sinelshchikov, Dmitry I.
4 Svinin, Mikhail M.
4 Tallapragada, Phanindra
4 Yamamoto, Motoji
4 Zobova, Alexandra A.
3 Akbarzadeh, Rasoul
3 Amer, Tarek S.
3 Andrade, Jaime
3 Balabanova, Nataliya A.
3 Bolotin, Sergeĭ Vladimirovich
3 Burov, Aleksandr Anatol’evich
3 Chanu, Claudia Maria
3 Combot, Thierry
3 Damianou, Pantelis Andrea
3 Demina, Maria V.
3 Dobrogowska, Alina
3 Elmandouh, Adel A.
3 Erdakova, Nadezhda N.
3 Fedonyuk, Vitaliy
3 Fedorov, Yuri N.
3 García-Azpeitia, Carlos
3 Gebhard, Björn
3 Gonchenko, Aleksandr Sergeevich
3 Gonchenko, Sergey V.
3 Grishanina, G. É.
3 Gudimenko, A. I.
3 Hernández-Bermejo, Benito
3 Inozemtseva, Natalia G.
3 Kelly, Scott David
3 Kharlamov, Mikhail Pavlovich
3 Kosov, Aleksandr Arkad’evich
3 Liu, Caishan
3 Llewellyn Smith, Stefan G.
3 Mityushov, Evgeniĭ Aleksandrovich
3 Popov, Sasho Ivanov
3 Rastelli, Giovanni
3 Šalinić, Slaviša
3 Santander, Mariano
3 Sataev, Igor’ Rustamovich
3 Shchetinina, Elena Konstantinovna
...and 560 more Authors
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Cited in 128 Serials

252 Regular and Chaotic Dynamics
43 Russian Journal of Nonlinear Dynamics
20 Journal of Nonlinear Science
19 Journal of Mathematical Physics
16 Journal of Applied Mathematics and Mechanics
14 Physica D
14 Journal of Geometric Mechanics
14 Mechanics of Solids
13 Nonlinear Dynamics
12 Nonlinearity
12 Physics Letters. A
11 Celestial Mechanics and Dynamical Astronomy
11 Doklady Mathematics
10 Journal of Fluid Mechanics
10 Russian Journal of Mathematical Physics
10 Journal of Mathematical Sciences (New York)
10 Journal of Physics A: Mathematical and Theoretical
10 Nelineĭnaya Dinamika
9 Mathematical Notes
9 Journal of Geometry and Physics
9 Communications in Nonlinear Science and Numerical Simulation
9 Theoretical and Applied Mechanics
9 Proceedings of the Steklov Institute of Mathematics
8 Acta Mechanica
8 Theoretical and Mathematical Physics
7 Archive for Rational Mechanics and Analysis
6 Prikladnaya Matematika i Mekhanika
6 Journal of Dynamical and Control Systems
6 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
5 Reports on Mathematical Physics
5 Theoretical and Computational Fluid Dynamics
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Multibody System Dynamics
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 Moscow University Mathematics Bulletin
4 Russian Mathematical Surveys
4 Journal of Differential Equations
4 Journal of Dynamics and Differential Equations
4 SIAM Journal on Applied Dynamical Systems
4 International Journal of Geometric Methods in Modern Physics
3 Communications in Mathematical Physics
3 European Journal of Physics
3 Annals of Physics
3 Applied Mathematical Modelling
3 Russian Mathematics
3 Journal of Computer and Systems Sciences International
3 European Journal of Control
3 Chaos
3 Doklady Physics
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 International Journal of Modern Physics B
2 Fluid Dynamics
2 Letters in Mathematical Physics
2 Chaos, Solitons and Fractals
2 Mathematics and Computers in Simulation
2 Meccanica
2 Siberian Mathematical Journal
2 Topology and its Applications
2 International Applied Mechanics
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Discrete and Continuous Dynamical Systems
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Lobachevskii Journal of Mathematics
2 Qualitative Theory of Dynamical Systems
2 Differentsial’nye Uravneniya i Protsessy Upravleniya
2 Chebyshevskiĭ Sbornik
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2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
2 Advances in Mathematical Physics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Arnold Mathematical Journal
2 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva
1 International Journal of Theoretical Physics
1 Israel Journal of Mathematics
1 Journal of Engineering Mathematics
1 Journal of Mathematical Analysis and Applications
1 Nuclear Physics. B
1 Physics Letters. B
1 Reviews in Mathematical Physics
1 Journal of Theoretical and Applied Mechanics (Sofia)
1 Applied Mathematics and Computation
1 Automatica
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Geometry
1 Mathematische Annalen
1 Mechanics Research Communications
1 Studies in Applied Mathematics
1 Transactions of the American Mathematical Society
1 Transactions of the Moscow Mathematical Society
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Mathematics Letters
1 Computational Mathematics and Modeling
1 Differential Geometry and its Applications
1 Computational Mathematics and Mathematical Physics
1 SIAM Journal on Applied Mathematics
1 Archive of Applied Mechanics
1 International Journal of Robust and Nonlinear Control
1 Vestnik St. Petersburg University. Mathematics
...and 28 more Serials
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Cited in 44 Fields

544 Mechanics of particles and systems (70-XX)
379 Dynamical systems and ergodic theory (37-XX)
140 Fluid mechanics (76-XX)
77 Differential geometry (53-XX)
71 Ordinary differential equations (34-XX)
37 Systems theory; control (93-XX)
36 Mechanics of deformable solids (74-XX)
30 Partial differential equations (35-XX)
21 Quantum theory (81-XX)
18 Nonassociative rings and algebras (17-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
13 Global analysis, analysis on manifolds (58-XX)
10 Algebraic geometry (14-XX)
9 Topological groups, Lie groups (22-XX)
8 Numerical analysis (65-XX)
7 History and biography (01-XX)
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6 Computer science (68-XX)
5 Functions of a complex variable (30-XX)
5 Optics, electromagnetic theory (78-XX)
5 Relativity and gravitational theory (83-XX)
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5 Biology and other natural sciences (92-XX)
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3 Linear and multilinear algebra; matrix theory (15-XX)
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