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Mamaev, Ivan Sergeevich

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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

143 Publications have been cited 1,857 times in 632 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.
79
2005
Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics. Zbl 1058.70009
Borisov, A. V.; Mamaev, I. S.
67
2002
Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems. Zbl 1229.70038
Borisov, A. V.; Mamaev, I. S.
65
2008
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.
58
2002
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.
54
2013
How to control Chaplygin’s sphere using rotors. Zbl 1264.37016
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
47
2012
Dynamics of rigid body. (Динамика твердого тела.) Zbl 1004.70002
Borisov, A. V.; Mamaev, I. S.
44
2001
Chaplygin’s ball rolling problem is Hamiltonian. Zbl 1030.70002
Borisov, A. V.; Mamaev, I. S.
38
2001
Topology and stability of integrable systems. Zbl 1202.37077
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
38
2010
How to control the Chaplygin ball using rotors. II. Zbl 1303.37021
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
37
2013
The problem of drift and recurrence for the rolling Chaplygin ball. Zbl 1286.70007
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
35
2013
Two-body problem on a sphere. Reduction, stochasticity, periodic orbits. Zbl 1065.37058
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
31
2004
Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds. Zbl 1309.37049
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
31
2011
The Jacobi integral in nonholonomic mechanics. Zbl 1367.70036
Borisov, Alexey V.; Mamaev, Ivan. S.; Bizyaev, Ivan. A.
30
2015
Symmetries and reduction in nonholonomic mechanics. Zbl 1342.37001
Borisov, Alexey V.; Mamaev, Ivan S.
30
2015
Chaplygin ball over a fixed sphere: an explicit integration. Zbl 1229.37080
Borisov, A. V.; Fedorov, Yu. N.; Mamaev, I. S.
29
2008
Mathematical methods in dynamics of vortex structures. (Математические методы динамики вихревых структур.) Zbl 1119.76001
Borisov, A. V.; Mamaev, I. S.
27
2005
Asymptotic stability and associated problems of dynamics of falling rigid body. Zbl 1229.37107
Borisov, A. V.; Kozlov, V. V.; Mamaev, I. S.
26
2007
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
Isomorphism and Hamilton representation of some nonholonomic systems. Zbl 1164.37342
Borisov, A. V.; Mamaev, I. S.
24
2007
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.
24
1999
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.
23
2014
The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration. Zbl 1398.37056
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
23
2017
Dynamic interaction of point vortices and a two-dimensional cylinder. Zbl 1144.81318
Borisov, Alexey V.; Mamaev, Ivan S.; Ramodanov, Sergey M.
22
2007
Dynamics of rolling disk. Zbl 1112.37320
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
22
2003
Hamiltonicity and integrability of the Suslov problem. Zbl 1277.70008
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
22
2011
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.
22
2003
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.
21
2013
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.
20
2012
Geometrisation of Chaplygin’s reducing multiplier theorem. Zbl 1333.37103
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
20
2015
Non-holonomic dynamics and Poisson geometry. Zbl 1348.70038
Borisov, A. V.; Mamaev, I. S.; Tsiganov, A. V.
20
2014
An integrability of the problem on motion of cylinder and vortex in the ideal fluid. Zbl 1112.37315
Borisov, A. V.; Mamaev, I. S.
19
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.
19
2012
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.
18
2003
On the Hadamard-Hamel problem and the dynamics of wheeled vehicles. Zbl 1367.70034
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
17
2015
The restricted two-body problem in constant curvature spaces. Zbl 1116.70015
Borisov, Alexey V.; Mamaev, Ivan S.
17
2006
The spatial problem of 2 bodies on a sphere. Reduction and stochasticity. Zbl 1402.70015
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
16
2016
New effects in dynamics of rattlebacks. Zbl 1206.70007
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
16
2006
Multiparticle systems. The algebra of integrals and integrable cases. Zbl 1229.37106
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
16
2009
Rolling of a non-homogeneous ball over a sphere without slipping and twisting. Zbl 1229.37081
Borisov, A. V.; Mamaev, I. S.
16
2007
Exotic dynamics of nonholonomic roller racer with periodic control. Zbl 1412.37064
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
15
2018
Lie algebras in vortex dynamics and celestial mechanics. IV. Zbl 1076.76513
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
15
1999
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
The Hess case in rigid-body dynamics. Zbl 1066.70504
Borisov, A. V.; Mamayev, I. S.
15
2003
On the problem of motion of vortex sources on a plane. Zbl 1164.37353
Borisov, A. V.; Mamaev, I. S.
14
2006
Dynamics and control of an omniwheel vehicle. Zbl 1367.70033
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
14
2015
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
Generalized problem of two and four Newtonian centers. Zbl 1129.70010
Borisov, Alexey V.; Mamaev, Ivan S.
14
2005
Rolling of a homogeneous ball over a dynamically asymmetric sphere. Zbl 1309.37080
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
13
2011
The dynamics of vortex rings: leapfrogging, choreographies and the stability problem. Zbl 1273.76067
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
13
2013
Relations between integrable systems in plane and curved spaces. Zbl 1202.70062
Borisov, Alexey V.; Mamaev, Ivan S.
13
2007
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.
13
2019
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.
12
2017
Superintegrable systems on a sphere. Zbl 1077.37520
Borisov, A. V.; Mamaev, I. S.
12
2005
Bifurcation analysis and the Conley index in mechanics. Zbl 1252.76055
Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S.
12
2012
Qualitative analysis of the dynamics of a wheeled vehicle. Zbl 1367.70035
Borisov, Alexey V.; Mamaev, Ivan S.; Kilin, Alexander A.; Bizyaev, Ivan A.
12
2015
The dynamics of three vortex sources. Zbl 1342.37078
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
12
2014
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.
12
2016
Two non-holonomic integrable problems tracing back to Chaplygin. Zbl 1252.76056
Borisov, Alexey V.; Mamaev, Ivan S.
10
2012
Topology and bifurcations in nonholonomic mechanics. Zbl 1326.70022
Bizyaev, Ivan A.; Bolsinov, Alexey; Borisov, Alexey; Mamaev, Ivan
10
2015
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
10
2016
The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids. Zbl 1229.70049
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
10
2009
On the history of the development of the nonholonomic dynamics. Zbl 1011.70002
Borisov, A. V.; Mamaev, I. S.
9
2002
Rolling of a rigid body without slipping and spinning: kinematics and dynamics. Zbl 1367.70006
Borisov, A. V.; Mamaev, I. S.; Treschev, D. V.
9
2013
Superintegrable generalizations of the Kepler and Hook problems. Zbl 1309.70020
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
9
2014
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
Superintegrable system on a sphere with the integral of higher degree. Zbl 1229.70052
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
9
2009
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.
8
2018
Hamiltonization of elementary nonholonomic systems. Zbl 1360.70022
Bizyaev, I. A.; Borisov, A. V.; Mamaev, I. S.
8
2015
Dynamics of the Chaplygin sledge. Zbl 1183.74080
Borisov, A. V.; Mamayev, I. S.
8
2009
The dynamics of vortex sources in a deformation flow. Zbl 1346.76118
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
8
2016
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.
8
2015
The Hess-Appelrot system and its nonholonomic analogs. Zbl 1404.70034
Bizyaev, I. A.; Borisov, A. V.; Mamaev, I. S.
8
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.
8
2005
Rigid body dynamics. Zbl 1450.70001
Borisov, Alexey V.; Mamaev, Ivan S.
8
2019
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.
8
2014
The dynamics of the Chaplygin ball with a fluid-filled cavity. Zbl 1286.70008
Borisov, Alexey V.; Mamaev, Ivan S.
8
2013
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.
8
2018
Dynamics of two point vortices in an external compressible shear flow. Zbl 1401.76039
Vetchanin, Evgeny V.; Mamaev, Ivan S.
8
2017
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.
7
2018
Explicit integration of one problem in nonholonomic mechanics. Zbl 1206.70011
Borisov, A. V.; Mamaev, I. S.; Marikhin, V. G.
7
2008
Rigid body dynamics in non-Euclidean spaces. Zbl 1406.70009
Borisov, A. V.; Mamaev, I. S.
7
2016
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.
6
2019
The nonexistence of an invariant measure for an inhomogeneous ellipsoid rolling on a plane. Zbl 1081.37539
Borisov, A. V.; Mamaev, I. S.
6
2005
Adiabatic chaos in rigid body dynamics. Zbl 0933.70007
Borisov, A. V.; Mamaev, I. S.
6
1997
Dynamics of the Chaplygin sleigh on a cylinder. Zbl 1346.70006
Bizyaev, Ivan Alekseevich; Borisov, Alekseĭ Vladimirovich; Mamaev, Ivan Sergeevich
6
2016
An inhomogeneous Chaplygin sleigh. Zbl 1404.37073
Borisov, Alexey V.; Mamaev, Ivan S.
6
2017
The Hess-Appelrot case and quantization of the rotation number. Zbl 1370.70023
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
6
2017
Stability of steady rotations in the nonholonomic Routh problem. Zbl 1229.70021
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
6
2008
Isomorphisms of geodesic flows on quadrics. Zbl 1229.37096
Borisov, A. V.; Mamaev, I. S.
6
2009
Dynamics of the Chaplygin ball on a rotating plane. Zbl 1435.70017
Bizyaev, I. A.; Borisov, A. V.; Mamaev, I. S.
6
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
5
2019
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
Kovalevskaya top and generalizations of integrable systems. Zbl 0977.37031
Borisov, A. V.; Mamaev, I. S.; Kholmskaya, A. G.
5
2001
Nonlinear Poisson brackets and isomorphisms in dynamics. Zbl 0954.37032
Borisov, A. V.; Mamaev, I. S.
5
1997
The Hojman construction and hamiltonization of nonholonomic systems. Zbl 1331.37087
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
5
2016
On a nonholonomic dynamical problem. Zbl 1209.70012
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
5
2006
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
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
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.
5
2018
Normal forms and averaging in an acceleration problem in nonholonomic mechanics. Zbl 1465.70056
Bizyaev, Ivan; Bolotin, Sergey; Mamaev, Ivan
1
2021
Dynamics of rubber Chaplygin sphere under periodic control. Zbl 1437.37082
Mamaev, Ivan S.; Vetchanin, Evgeny V.
3
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
1
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.
13
2019
Rigid body dynamics. Zbl 1450.70001
Borisov, Alexey V.; Mamaev, Ivan S.
8
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.
6
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
5
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.
4
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.
15
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.
8
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.
8
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.
7
2018
Dynamics of the Chaplygin ball on a rotating plane. Zbl 1435.70017
Bizyaev, I. A.; Borisov, A. V.; Mamaev, I. S.
6
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
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.
5
2018
A nonholonomic model of the Paul trap. Zbl 1400.37075
Borisov, Alexey V.; Kilin, Alexander A.; 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 a body with a sharp edge in a viscous fluid. Zbl 1418.37126
Mamaev, Ivan S.; Tenenev, Valentin A.; Vetchanin, Evgeniĭ V.
3
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.
2
2018
Dynamics of three vortices on a sphere. Zbl 1400.76055
Borisov, Alexey V.; Mamaev, Ivan S.; Kilin, Alexander A.
2
2018
The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration. Zbl 1398.37056
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
23
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.
12
2017
Dynamics of two point vortices in an external compressible shear flow. Zbl 1401.76039
Vetchanin, Evgeny V.; Mamaev, Ivan S.
8
2017
An inhomogeneous Chaplygin sleigh. Zbl 1404.37073
Borisov, Alexey V.; Mamaev, Ivan S.
6
2017
The Hess-Appelrot case and quantization of the rotation number. Zbl 1370.70023
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
6
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.
16
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.
12
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
10
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 Hess-Appelrot system and its nonholonomic analogs. Zbl 1404.70034
Bizyaev, I. A.; Borisov, A. V.; Mamaev, I. S.
8
2016
Rigid body dynamics in non-Euclidean spaces. Zbl 1406.70009
Borisov, A. V.; Mamaev, I. S.
7
2016
Dynamics of the Chaplygin sleigh on a cylinder. Zbl 1346.70006
Bizyaev, Ivan Alekseevich; Borisov, Alekseĭ Vladimirovich; Mamaev, Ivan Sergeevich
6
2016
The Hojman construction and hamiltonization of nonholonomic systems. Zbl 1331.37087
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
5
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
Adiabatic invariants, diffusion and acceleration in rigid body dynamics. Zbl 1377.70021
Borisov, Alexey V.; Mamaev, Ivan S.
3
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.
1
2016
The Jacobi integral in nonholonomic mechanics. Zbl 1367.70036
Borisov, Alexey V.; Mamaev, Ivan. S.; Bizyaev, Ivan. A.
30
2015
Symmetries and reduction in nonholonomic mechanics. Zbl 1342.37001
Borisov, Alexey V.; Mamaev, Ivan S.
30
2015
Geometrisation of Chaplygin’s reducing multiplier theorem. Zbl 1333.37103
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
20
2015
On the Hadamard-Hamel problem and the dynamics of wheeled vehicles. Zbl 1367.70034
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
17
2015
Dynamics and control of an omniwheel vehicle. Zbl 1367.70033
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
14
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.
12
2015
Topology and bifurcations in nonholonomic mechanics. Zbl 1326.70022
Bizyaev, Ivan A.; Bolsinov, Alexey; Borisov, Alexey; Mamaev, Ivan
10
2015
Hamiltonization of elementary nonholonomic systems. Zbl 1360.70022
Bizyaev, I. A.; Borisov, A. V.; Mamaev, I. S.
8
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.
8
2015
Figures of equilibrium of an inhomogeneous self-gravitating fluid. Zbl 1409.76146
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
3
2015
Equations of motion of non-holonomic systems. Zbl 1343.37054
Borisov, A. V.; Mamaev, I. S.
2
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.
23
2014
Non-holonomic dynamics and Poisson geometry. Zbl 1348.70038
Borisov, A. V.; Mamaev, I. S.; Tsiganov, A. V.
20
2014
The dynamics of three vortex sources. Zbl 1342.37078
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
12
2014
Superintegrable generalizations of the Kepler and Hook problems. Zbl 1309.70020
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
9
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.
8
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
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.
4
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
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.
54
2013
How to control the Chaplygin ball using rotors. II. Zbl 1303.37021
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
37
2013
The problem of drift and recurrence for the rolling Chaplygin ball. Zbl 1286.70007
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
35
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.
21
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
The dynamics of vortex rings: leapfrogging, choreographies and the stability problem. Zbl 1273.76067
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
13
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.
9
2013
The dynamics of the Chaplygin ball with a fluid-filled cavity. Zbl 1286.70008
Borisov, Alexey V.; Mamaev, Ivan S.
8
2013
How to control Chaplygin’s sphere using rotors. Zbl 1264.37016
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
47
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.
20
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.
19
2012
Bifurcation analysis and the Conley index in mechanics. Zbl 1252.76055
Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S.
12
2012
Two non-holonomic integrable problems tracing back to Chaplygin. Zbl 1252.76056
Borisov, Alexey V.; Mamaev, Ivan S.
10
2012
Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds. Zbl 1309.37049
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
31
2011
Hamiltonicity and integrability of the Suslov problem. Zbl 1277.70008
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
22
2011
Rolling of a homogeneous ball over a dynamically asymmetric sphere. Zbl 1309.37080
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
13
2011
On the model of non-holonomic billiard. Zbl 1253.70008
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
2
2011
Topology and stability of integrable systems. Zbl 1202.37077
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
38
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.
3
2010
Basic principles and models of dynamic advection. Zbl 1337.76069
Borisov, A. V.; Mamaev, I. S.; Ramodanov, S. M.
2
2010
Multiparticle systems. The algebra of integrals and integrable cases. Zbl 1229.37106
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
16
2009
The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids. Zbl 1229.70049
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
10
2009
Superintegrable system on a sphere with the integral of higher degree. Zbl 1229.70052
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
9
2009
Dynamics of the Chaplygin sledge. Zbl 1183.74080
Borisov, A. V.; Mamayev, I. S.
8
2009
Isomorphisms of geodesic flows on quadrics. Zbl 1229.37096
Borisov, A. V.; Mamaev, I. S.
6
2009
Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems. Zbl 1229.70038
Borisov, A. V.; Mamaev, I. S.
65
2008
Chaplygin ball over a fixed sphere: an explicit integration. Zbl 1229.37080
Borisov, A. V.; Fedorov, Yu. N.; Mamaev, I. S.
29
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.
4
2008
Dynamics of two rings of vortices on a sphere. Zbl 1207.76031
Borisov, Alexey V.; Mamaev, Ivan S.
2
2008
Absolute and relative choreographies in rigid body dynamics. Zbl 1229.70009
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
2
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.
2
2008
Asymptotic stability and associated problems of dynamics of falling rigid body. Zbl 1229.37107
Borisov, A. V.; Kozlov, V. V.; Mamaev, I. S.
26
2007
Isomorphism and Hamilton representation of some nonholonomic systems. Zbl 1164.37342
Borisov, A. V.; Mamaev, I. S.
24
2007
Dynamic interaction of point vortices and a two-dimensional cylinder. Zbl 1144.81318
Borisov, Alexey V.; Mamaev, Ivan S.; Ramodanov, Sergey M.
22
2007
Rolling of a non-homogeneous ball over a sphere without slipping and twisting. Zbl 1229.37081
Borisov, A. V.; Mamaev, I. S.
16
2007
Relations between integrable systems in plane and curved spaces. Zbl 1202.70062
Borisov, Alexey V.; Mamaev, Ivan S.
13
2007
Dynamics of two interacting circular cylinders in perfect fluids. Zbl 1130.37040
Borisov, A. V.; Mamaev, I. S.; Ramodanov, S. M.
4
2007
Interaction between Kirchhoff vortices and point vortices in an ideal fluid. Zbl 1229.37108
Borisov, A. V.; Mamaev, I. S.
1
2007
...and 43 more Documents
all top 5

Cited by 522 Authors

110 Borisov, Alekseĭ Vladimirovich
99 Mamaev, Ivan Sergeevich
49 Kilin, Aleksandr Aleksandrovich
34 Bizyaev, Ivan Alekseevich
30 Tsyganov, Andreĭ Vladimirovich
18 Vetchanin, Evgeniĭ Vladimirovich
17 García-Naranjo, Luis C.
13 Ryabov, Pavel Evgen’evich
12 Pivovarova, Elena Nikolaevna
12 Sokolov, Sergeĭ Viktorovich
11 Karavaev, Yurĭ Leonidovich
11 Kazakov, Alexey O.
10 Bolsinov, Alexey V.
10 Dragović, Vladimir
10 Kudryashov, Nikolaĭ Alekseevich
10 Przybylska, Maria
9 Kozlov, Valeriĭ Vasil’evich
9 Kurakin, Leonid Gennadievich
8 Gajić, Borislav
8 Maciejewski, Andrzej J.
8 Mikishanina, Evgeniya Arifzhanovna
7 Balseiro, Paula
7 Kuznetsov, Sergey P.
7 Sansonetto, Nicola
6 Fassò, Francesco
6 Ivanov, Aleksandr Pavlovich
6 Montaldi, James A.
6 Pérez-Chavela, Ernesto
5 Albouy, Alain
5 Bloch, Anthony Michael
5 Fernandez, Oscar E.
5 Gorr, Gennadiĭ Viktorovich
5 Ivanova, Tatiana B.
5 Ivanova, Tatyana B.
5 Jovanović, Božidar Žarko
5 Kanso, Eva Adnan
5 Marrero, Juan Carlos
5 Ol’shanskii, V. Yu.
5 Ostrovskaya, Irina V.
5 Ramodanov, Sergey M.
5 Tenenev, Valentin Alekseevich
5 Zhu, Shuqiang
4 Bardin, Boris Sabirovich
4 Cariñena, José F.
4 Cendra, Hernán
4 Koiller, Jair
4 Llibre, Jaume
4 Oshemkov, Andreĭ Aleksandrovich
4 Putkaradze, Vakhtang
4 Rañada, Manuel F.
4 Rauch-Wojciechowski, Stefan
4 Shashikanth, Banavara N.
4 Sinelshchikov, Dmitry I.
4 Tallapragada, Phanindra
4 Zobova, Alexandra A.
3 Akbarzadeh, Rasoul
3 Andrade, Jaime
3 Artemova, Elizaveta M.
3 Bolotin, Sergeĭ Vladimirovich
3 Burov, Aleksandr Anatol’evich
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, Alexander S.
3 Gonchenko, Sergey V.
3 Grishanina, G. É.
3 Gudimenko, A. I.
3 Inozemtseva, Natalia G.
3 Kelly, Scott David
3 Kharlamov, Mikhail Pavlovich
3 Klekovkin, Anton Vladimirovich
3 Liu, Caishan
3 Llewellyn Smith, Stefan G.
3 Markeev, Anatoliĭ Pavlovich
3 Mityushov, Evgeniĭ Aleksandrovich
3 Popov, Sasho Ivanov
3 Sachkov, Yuriĭ Leonidovich
3 Sánchez-Cerritos, Juan Manuel
3 Santander, Mariano
3 Sataev, Igor’ Rustamovich
3 Sokolovskiy, Mikhail A.
3 Strelcyn, Jean-Marie
3 Svinin, Mikhail M.
3 Vankerschaver, Joris
3 Yamamoto, Motoji
3 Zhila, A. I.
2 Amer, Tarek S.
2 Andreev, Aleksandr Sergeevich
2 Ardentov, Andrey A.
2 Awrejcewicz, Jan
2 Bai, Yang
2 Bao, Jinrong
2 Bartsch, Thomas J.
...and 422 more Authors
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Cited in 98 Serials

237 Regular and Chaotic Dynamics
31 Russian Journal of Nonlinear Dynamics
18 Journal of Nonlinear Science
16 Journal of Mathematical Physics
13 Journal of Applied Mathematics and Mechanics
13 Journal of Geometric Mechanics
12 Physica D
11 Celestial Mechanics and Dynamical Astronomy
10 Journal of Fluid Mechanics
10 Russian Journal of Mathematical Physics
10 Journal of Mathematical Sciences (New York)
10 Doklady Mathematics
10 Nonlinear Dynamics
9 Mathematical Notes
9 Physics Letters. A
9 Proceedings of the Steklov Institute of Mathematics
8 Nonlinearity
7 Acta Mechanica
7 Archive for Rational Mechanics and Analysis
7 Theoretical and Mathematical Physics
7 Journal of Geometry and Physics
7 Theoretical and Applied Mechanics
6 Prikladnaya Matematika i Mekhanika
6 Journal of Dynamical and Control Systems
6 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
6 Nelineĭnaya Dinamika
5 Theoretical and Computational Fluid Dynamics
5 Multibody System Dynamics
5 Communications in Nonlinear Science and Numerical Simulation
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 Reports on Mathematical Physics
4 Journal of Differential Equations
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Communications in Mathematical Physics
3 Journal of Dynamics and Differential Equations
3 Russian Mathematics
3 Chaos
3 Doklady Physics
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2 Fluid Dynamics
2 Letters in Mathematical Physics
2 Russian Mathematical Surveys
2 Chaos, Solitons and Fractals
2 Siberian Mathematical Journal
2 Discrete and Continuous Dynamical Systems
2 European Journal of Control
2 Lobachevskii Journal of Mathematics
2 SIAM Journal on Applied Dynamical Systems
2 Journal of Physics A: Mathematical and Theoretical
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
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1 European Journal of Physics
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1 SIAM Journal on Applied Mathematics
1 Archive of Applied Mechanics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Computer and Systems Sciences International
1 International Applied Mechanics
1 Physics of Fluids
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1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Journal of Applied Mechanics and Technical Physics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Annales Henri Poincaré
1 DGDS. Differential Geometry – Dynamical Systems
1 Qualitative Theory of Dynamical Systems
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Journal of Nonlinear Mathematical Physics
1 Iranian Journal of Science and Technology. Transaction A: Science
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1 Frontiers of Mathematics in China
1 Analysis and Mathematical Physics
1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
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Cited in 43 Fields

452 Mechanics of particles and systems (70-XX)
327 Dynamical systems and ergodic theory (37-XX)
123 Fluid mechanics (76-XX)
61 Ordinary differential equations (34-XX)
61 Differential geometry (53-XX)
30 Systems theory; control (93-XX)
24 Mechanics of deformable solids (74-XX)
23 Partial differential equations (35-XX)
15 Nonassociative rings and algebras (17-XX)
13 Quantum theory (81-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
10 Algebraic geometry (14-XX)
10 Global analysis, analysis on manifolds (58-XX)
8 Numerical analysis (65-XX)
6 Special functions (33-XX)
5 History and biography (01-XX)
5 Topological groups, Lie groups (22-XX)
5 Astronomy and astrophysics (85-XX)
4 Functions of a complex variable (30-XX)
3 Operator theory (47-XX)
3 Manifolds and cell complexes (57-XX)
3 Computer science (68-XX)
3 Optics, electromagnetic theory (78-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Relativity and gravitational theory (83-XX)
3 Biology and other natural sciences (92-XX)
2 Combinatorics (05-XX)
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1 Group theory and generalizations (20-XX)
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1 Probability theory and stochastic processes (60-XX)
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1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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