Persons: Bizyaev, Ivan Alekseevich

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Bizyaev, Ivan Alekseevich

Statistics
in MathSciNet:	29 (28)
in zbMATH:	16 (16)
in Web of Science:	33 (32)
in Scopus:	28 (27)

Main Scientist Researcher

Doctor of physico-mathematical sciences

Birth date:

15.05.1990

E-mail:

https://www.mathnet.ru/eng/person70168

https://scholar.google.com/citations?user=wiGGX9wAAAAJ&hl=en

https://zbmath.org/authors/ai:bizyaev.ivan-a

https://mathscinet.ams.org/mathscinet/MRAuthorID/1011279

https://elibrary.ru/author_items.asp?spin=8424-1942

https://orcid.org/0000-0002-7355-8879

https://www.webofscience.com/wos/author/record/Q-4775-2016

https://www.scopus.com/authid/detail.url?authorId=55602455800

List of publications:

scientific publications

by years

by types

by times cited

common list

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


2025
1.	I. A. Bizyaev, “Trajectories of Light Beams in a Kerr Metric: the Influence of the Rotation of an Observer on the Shadow of a Black Hole”, Rus. J. Nonlin. Dyn., 21:2 (2025), 157–171 ;

2024
2.	Ivan A. Bizyaev, Ivan S. Mamaev, “Nonlinear Dynamics of a Roller Bicycle”, Regul. Chaotic Dyn., 29:5 (2024), 728–750 ;
3.	I. A. Bizyaev, E. V. Vetchanin, “Climb of the Chaplygin Sleigh on an Inclined Plane under Periodic Controls: Speedup and Uniform Motion”, Rus. J. Nonlin. Dyn., 20:4 (2024), 463–479 ;

2023
4.	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 ;	3 ^[x]

2022
5.	Ivan A. Bizyaev, Ivan S. Mamaev, “Permanent Rotations in Nonholonomic Mechanics. Omnirotational Ellipsoid”, Regul. Chaotic Dyn., 27:6 (2022), 587–612 ;	7 ^[x]

2021
6.	Ivan Bizyaev, Sergey Bolotin, Ivan Mamaev, “Normal forms and averaging in an acceleration problem in nonholonomic mechanics”, Chaos, 31:1 (2021), 13132 , 28 pp. ;	8 ^[x]
7.	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 ;	5 ^[x]

2020
8.	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
9.	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]
10.	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
11.	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]
12.	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]
13.	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]

2017
14.	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

2016
15.	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

2017
16.	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	42 ^[x]
17.	Ivan A. Bizyaev, “The Inertial Motion of a Roller Racer”, Regul. Chaotic Dyn., 22:3 (2017), 239–247	27 ^[x]
18.	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
19.	I. A. Bizyaev, “A Chaplygin sleigh with a moving point mass”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:4 (2017), 583–589
20.	I. A. Bizyaev, “Invariant measure in the problem of a disk rolling on a plane”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:4 (2017), 576–582
21.	Ivan A. Bizyaev, Alexey V. Borisov, Sergey P. Kuznetsov, “Chaplygin sleigh with periodically oscillating internal mass”, EPL, 119 (2017), 60008 , 7 pp.	20 ^[x]

2016
22.	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
23.	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

2015
24.	I. A. Bizyaev, A. V. Borisov, A. O. Kazakov, “Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors”, Regul. Chaotic Dyn., 20:5 (2015), 605–626

2016
25.	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]
26.	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]
27.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Hojman Construction and Hamiltonization of Nonholonomic Systems”, SIGMA, 12 (2016), 12 , 19 pp., arXiv: 1510.00181	11 ^[x]
28.	I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Generalizations of the Kovalevskaya case and quaternions”, Proc. Steklov Inst. Math., 295 (2016), 33–44
29.	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

2015
30.	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), 15300–21
31.	A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “The Jacobi integral in nonholonomic mechanics”, Regul. Chaotic Dyn., 20:3 (2015), 383–400
32.	Alexey V. Borisov, Ivan S. Mamaev, Alexander A. Kilin, Ivan A. Bizyaev, “Qualitative Analysis of the Dynamics of a Wheeled Vehicle”, Regul. Chaotic Dyn., 20:6 (2015), 739–751	20 ^[x]
33.	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]
34.	I. A. Bizyaev, V. V. Kozlov, “Homogeneous systems with quadratic integrals, Lie-Poisson quasibrackets, and Kovalevskaya's method”, Sb. Math., 206:12 (2015), 1682–1706
35.	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]

2014
36.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The dynamics of three vortex sources”, Nelin. Dinam., 10:3 (2014), 319–327
37.	Ivan A. Bizyaev, “On a generalization of systems of Calogero type”, Nelin. Dinam., 10:2 (2014), 209–212
38.	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
39.	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]
40.	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]
41.	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]

2013
42.	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
43.	Ivan A. Bizyaev, Alexey O. Kazakov, “Integrability and stochastic behavior in some nonholonomic dynamics problems”, Nelin. Dinam., 9:2 (2013), 257–265
44.	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
45.	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	111 ^[x]

2012
46.	Ivan A. Bizyaev, Andrey V. Tsiganov, “On the Routh sphere”, Nelin. Dinam., 8:3 (2012), 569–583

2011
47.	I. A. Bizyaev, T. B. Ivanova, “Figures of equilibrium of liquid self-gravitating inhomogeneous mass”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 3, 142–153

Presentations in Math-Net.Ru

1.	Dynamics of a rotating test body in the Schwarzschild metric I. A. Bizyaev Regular and Chaotic Dynamics. On the 30th Anniversary of the Journal Regular and Chaotic Dynamics October 30, 2025 13:20
2.	Качественный анализ динамики роликового велосипеда I. A. Bizyaev School of Young Mechanics and Mathematicians SYMM 2023 October 3, 2023 17:00
3.	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
4.	Качественный анализ геодезических метрики Керра. I. S. Mamaev, I. A. Bizyaev Hamiltonian systems and statistical mechanics May 17, 2021 16:45
5.	Динамика саней Чаплыгина и задачи Суслова с параметрическим возбуждением: хаотическая динамика и неголономное ускорение I. A. Bizyaev International School of Young Mechanics and Mathematicians "Modern nonlinear dynamics" November 7, 2019 13:30

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