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Bizyaev, Ivan Alekseevich

Author ID: bizyaev.ivan-a Recent zbMATH articles by "Bizyaev, Ivan Alekseevich"
Published as: Bizyaev, Ivan A.; Bizyaev, Ivan Alekseevich; Bizyaev, I. A.; Bizyaev, Ivan. A.; Bizyaev, Ivan
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Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 499 times in 268 Documents Cited by Year
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.
66
2013
The Jacobi integral in nonholonomic mechanics. Zbl 1367.70036
Borisov, Alexey V.; Mamaev, Ivan. S.; Bizyaev, Ivan. A.
32
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.
30
2014
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
The spatial problem of 2 bodies on a sphere. Reduction and stochasticity. Zbl 1402.70015
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
23
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
Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors. Zbl 1344.37073
Bizyaev, Ivan A.; Borisov, Alexey V.; Kazakov, Alexey O.
20
2015
Exotic dynamics of nonholonomic roller racer with periodic control. Zbl 1412.37064
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
19
2018
On the Routh sphere problem. Zbl 1311.70015
Bizyaev, I. A.; Tsiganov, A. V.
19
2013
The inertial motion of a roller racer. Zbl 1381.37076
Bizyaev, Ivan A.
17
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.
15
2017
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
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
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
The dynamics of three vortex sources. Zbl 1342.37078
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
12
2014
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
Topology and bifurcations in nonholonomic mechanics. Zbl 1326.70022
Bizyaev, Ivan A.; Bolsinov, Alexey; Borisov, Alexey; Mamaev, Ivan
12
2015
The Hess-Appelrot system and its nonholonomic analogs. Zbl 1404.70034
Bizyaev, I. A.; 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
Nonintegrability and obstructions to the Hamiltonianization of a nonholonomic Chaplygin top. Zbl 1316.37033
Bizyaev, I. A.
10
2014
Dynamics of the Chaplygin sleigh on a cylinder. Zbl 1346.70006
Bizyaev, Ivan Alekseevich; Borisov, Alekseĭ Vladimirovich; Mamaev, Ivan Sergeevich
9
2016
Dynamics of the Chaplygin ball on a rotating plane. Zbl 1435.70017
Bizyaev, I. A.; Borisov, A. V.; Mamaev, I. S.
9
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 dynamics of vortex sources in a deformation flow. Zbl 1346.76118
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
8
2016
Homogeneous systems with quadratic integrals, Lie-Poisson quasibrackets, and Kovalevskaya’s method. Zbl 1358.37099
Bizyaev, I. A.; Kozlov, V. V.
8
2015
The Hojman construction and hamiltonization of nonholonomic systems. Zbl 1331.37087
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
7
2016
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
Normal forms and averaging in an acceleration problem in nonholonomic mechanics. Zbl 1465.70056
Bizyaev, Ivan; Bolotin, Sergey; Mamaev, Ivan
5
2021
Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability. Zbl 1411.76116
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
4
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
A Chaplygin sleigh with a moving point mass. Zbl 1398.37058
Bizyaev, Ivan Alekseevich
3
2017
Permanent rotations in nonholonomic mechanics. Omnirotational ellipsoid. Zbl 1517.37065
Bizyaev, Ivan A.; Mamaev, Ivan S.
3
2022
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
Figures of equilibrium of an inhomogeneous self-gravitating fluid. Zbl 1409.76146
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
3
2015
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
Invariant measure in the problem of a disk rolling on a plane. Zbl 1398.37057
Bizyaev, Ivan Alekseevich
1
2017
Qualitative analysis of the dynamics of a balanced circular foil and a vortex. Zbl 1482.76014
Bizyaev, Ivan A.; Mamaev, Ivan S.
1
2021
Roller racer with varying gyrostatic momentum: acceleration criterion and strange attractors. Zbl 1522.37074
Bizyaev, Ivan A.; Mamaev, Ivan S.
1
2023
Figures of equilibrium of an inhomogeneous self-gravitating fluid. Zbl 1310.76175
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
1
2014
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.
3
2022
Normal forms and averaging in an acceleration problem in nonholonomic mechanics. Zbl 1465.70056
Bizyaev, Ivan; Bolotin, Sergey; Mamaev, Ivan
5
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 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
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
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
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
Exotic dynamics of nonholonomic roller racer with periodic control. Zbl 1412.37064
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
19
2018
Dynamics of the Chaplygin ball on a rotating plane. Zbl 1435.70017
Bizyaev, I. A.; Borisov, A. V.; Mamaev, I. S.
9
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.
4
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
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
The inertial motion of a roller racer. Zbl 1381.37076
Bizyaev, Ivan A.
17
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.
15
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
A Chaplygin sleigh with a moving point mass. Zbl 1398.37058
Bizyaev, Ivan Alekseevich
3
2017
Invariant measure in the problem of a disk rolling on a plane. Zbl 1398.37057
Bizyaev, Ivan Alekseevich
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.
23
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
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
The Hess-Appelrot system and its nonholonomic analogs. Zbl 1404.70034
Bizyaev, I. A.; 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
The Jacobi integral in nonholonomic mechanics. Zbl 1367.70036
Borisov, Alexey V.; Mamaev, Ivan. S.; Bizyaev, Ivan. A.
32
2015
Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors. Zbl 1344.37073
Bizyaev, Ivan A.; Borisov, Alexey V.; Kazakov, Alexey O.
20
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
Homogeneous systems with quadratic integrals, Lie-Poisson quasibrackets, and Kovalevskaya’s method. Zbl 1358.37099
Bizyaev, I. A.; Kozlov, V. 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
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.
30
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
Nonintegrability and obstructions to the Hamiltonianization of a nonholonomic Chaplygin top. Zbl 1316.37033
Bizyaev, I. A.
10
2014
Figures of equilibrium of an inhomogeneous self-gravitating fluid. Zbl 1310.76175
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
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.
66
2013
On the Routh sphere problem. Zbl 1311.70015
Bizyaev, I. A.; Tsiganov, A. V.
19
2013
all top 5

Cited by 209 Authors

56 Borisov, Alekseĭ Vladimirovich
53 Mamaev, Ivan Sergeevich
31 Kilin, Aleksandr Aleksandrovich
29 Bizyaev, Ivan Alekseevich
16 Tsyganov, Andreĭ Vladimirovich
14 Mikishanina, Evgeniya Arifzhanovna
13 Vetchanin, Evgeniĭ Vladimirovich
12 Pivovarova, Elena Nikolaevna
10 García-Naranjo, Luis C.
10 Kazakov, Alexey O.
8 Karavaev, Yurĭ Leonidovich
7 Ivanova, Tatiana B.
7 Sokolov, Sergeĭ Viktorovich
6 Kozlov, Valeriĭ Vasil’evich
6 Przybylska, Maria
5 Artemova, Elizaveta Markovna
5 Fassò, Francesco
5 Gajić, Borislav
5 Jovanović, Božidar Žarko
5 Kuznetsov, Sergey P.
5 Pérez-Chavela, Ernesto
5 Sansonetto, Nicola
4 Bolsinov, Alexey V.
4 Ivanova, Tat’yana Borisovna
4 Kudryashov, Nikolaĭ Alekseevich
4 Latini, Danilo
4 Maciejewski, Andrzej J.
4 Ryabov, Pavel Evgen’evich
4 Sachkov, Yuriĭ Leonidovich
4 Sánchez-Cerritos, Juan Manuel
3 Dragović, Vladimir
3 Erdakova, Nadezhda Nikolaevna
3 Gonchenko, Sergeĭ Vladimirovich
3 Ivanov, Aleksandr Pavlovich
3 Montaldi, James
3 Sinelshchikov, Dmitry I.
2 Akbarzadeh, Rasoul
2 Arathoon, Philip
2 Bloch, Anthony Michael
2 de la Torre Mayado, Marina
2 Emelianova, Anastasiia A.
2 Fedonyuk, Vitaliy
2 Fujiwara, Toshiaki
2 García-Vallejo, Daniel
2 Glutsyuk, Alexey A.
2 Gonchenko, Aleksandr Sergeevich
2 Gonera, Cezary
2 Gonera, Joanna
2 González León, Miguel Angel
2 Hakavuori, Eero
2 Kazakov, Alekseĭ Olegovich
2 Klimina, Lyubov’ Aleksandrovna
2 Koiller, Jair
2 Kosov, Aleksandr Arkad’evich
2 Kruglov, Vyacheslav Pavlovich
2 Marquette, Ian
2 Marrero Gonzalez, Juan Carlos
2 Mateos Guilarte, Juan
2 Nekorkin, Vladimir I.
2 Ortega, Rafael
2 Podobryaev, Alekseĭ V.
2 Popov, Anton Yur’evich
2 Rauch-Wojciechowski, Stefan
2 Sataev, Igor’ Rustamovich
2 Szumiński, Wojciech
2 Tallapragada, Phanindra
2 Turaev, Dmitry V.
2 Zhang, Yaozhong
1 Agúndez, A. G.
1 Albouy, Alain
1 Andrade, Jaime
1 Ardentov, Andrei A.
1 Ardentov, Andrey A.
1 Ballesteros, Angel
1 Balseiro, Paula
1 Bao, Jinrong
1 Bengochea, Abimael
1 Bibilo, Yulia P.
1 Blasco, Alfonso
1 Bolotin, Sergeĭ Vladimirovich
1 Bravo-Doddoli, Alejandro
1 Burov, Aleksandr Anatol’evich
1 Bustamante, Miguel D.
1 Cariñena, José F.
1 Carpenter, Barry K.
1 Carton, Xavier J.
1 Cendra, Hernán
1 Chen, Jiandong
1 Cherkasov, Oleg Yur’evich
1 Chigarev, Vladimir
1 Dalla Via, Marco
1 Darabi, Farhad
1 de Lucas, Javier
1 Demina, Maria V.
1 Ding, Hejiang
1 Ding, Liang
1 Dong, Lu
1 Dosaev, Marat Z.
1 Dritschel, David Gerard
1 Ehlers, Kurt M.
...and 109 more Authors
all top 5

Cited in 54 Serials

107 Regular and Chaotic Dynamics
16 Russian Journal of Nonlinear Dynamics
11 Russian Journal of Mathematical Physics
8 Chaos
7 Nonlinearity
7 Journal of Nonlinear Science
6 Journal of Dynamical and Control Systems
6 Journal of Physics A: Mathematical and Theoretical
5 Doklady Mathematics
5 Theoretical and Applied Mechanics
5 Proceedings of the Steklov Institute of Mathematics
5 Journal of Geometric Mechanics
4 Journal of Geometry and Physics
4 Celestial Mechanics and Dynamical Astronomy
4 Nonlinear Dynamics
4 Communications in Nonlinear Science and Numerical Simulation
4 Nelineĭnaya Dinamika
3 Acta Mechanica
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Journal of Applied Mathematics and Mechanics
2 Journal of Mathematical Physics
2 Mathematical Notes
2 Physics Letters. A
2 Reports on Mathematical Physics
2 Russian Mathematical Surveys
2 Theoretical and Mathematical Physics
2 Annals of Physics
2 Journal of Dynamics and Differential Equations
2 Journal of Computer and Systems Sciences International
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
2 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva
2 Mechanics of Solids
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 European Journal of Physics
1 Journal of Differential Equations
1 Journal of Differential Geometry
1 Acta Applicandae Mathematicae
1 Physica D
1 Applied Mathematical Modelling
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Multibody System Dynamics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Journal of Nonlinear Mathematical Physics
1 Moscow Mathematical Journal
1 International Journal of Geometric Methods in Modern Physics
1 Analysis and Mathematical Physics
1 Journal of Computational Dynamics
1 Vestnik Rossiĭskikh Universitetov. Matematika

Citations by Year