Persons: Bizyaev, Ivan Alekseevich

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Bizyaev, Ivan Alekseevich

Total publications:	45 (44)
in MathSciNet:	29 (28)
in zbMATH:	15 (15)
in Web of Science:	33 (32)
in Scopus:	28 (27)
Cited articles:	39
Citations:	668
Presentations:	4

Number of views:
This page:	3918
Abstract pages:	18003
Full texts:	3110
References:	2797

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

Full list of publications:

scientific publications

by years

by types

by times cited

common list

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


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

2023
2.	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 ;	2 ^[x]

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

2021
4.	Ivan Bizyaev, Sergey Bolotin, Ivan Mamaev, “Normal forms and averaging in an acceleration problem in nonholonomic mechanics”, Chaos, 31:1 (2021), 13132 , 28 pp. ;	6 ^[x]
5.	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
6.	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
7.	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]
8.	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	17 ^[x]

2018
9.	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]
10.	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	6 ^[x]
11.	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	27 ^[x]

2017
12.	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
13.	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
14.	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	41 ^[x]
15.	Ivan A. Bizyaev, “The Inertial Motion of a Roller Racer”, Regul. Chaotic Dyn., 22:3 (2017), 239–247	25 ^[x]
16.	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
17.	I. A. Bizyaev, “A Chaplygin sleigh with a moving point mass”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:4 (2017), 583–589
18.	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
19.	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
20.	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
21.	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
22.	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
23.	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	26 ^[x]
24.	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	11 ^[x]
25.	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	10 ^[x]
26.	I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Generalizations of the Kovalevskaya case and quaternions”, Proc. Steklov Inst. Math., 295 (2016), 33–44
27.	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
28.	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
29.	A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “The Jacobi integral in nonholonomic mechanics”, Regul. Chaotic Dyn., 20:3 (2015), 383–400
30.	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	19 ^[x]
31.	I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Hamiltonization of elementary nonholonomic systems”, Russ. J. Math. Phys., 22:4 (2015), 444–453	10 ^[x]
32.	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
33.	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	7 ^[x]

2014
34.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The dynamics of three vortex sources”, Nelin. Dinam., 10:3 (2014), 319–327
35.	Ivan A. Bizyaev, “On a generalization of systems of Calogero type”, Nelin. Dinam., 10:2 (2014), 209–212
36.	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
37.	Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of Three Vortex Sources”, Regul. Chaotic Dyn., 19:6 (2014), 694–701	16 ^[x]
38.	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	15 ^[x]
39.	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	42 ^[x]

2013
40.	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
41.	Ivan A. Bizyaev, Alexey O. Kazakov, “Integrability and stochastic behavior in some nonholonomic dynamics problems”, Nelin. Dinam., 9:2 (2013), 257–265
42.	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
43.	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	103 ^[x]

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

2011
45.	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.	Качественный анализ динамики роликового велосипеда I. A. Bizyaev School of Young Mechanics and Mathematicians SYMM 2023 October 3, 2023 17:00
2.	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
3.	Качественный анализ геодезических метрики Керра. I. S. Mamaev, I. A. Bizyaev Hamiltonian systems and statistical mechanics May 17, 2021 16:45
4.	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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