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Bizyaev Ivan
Bizyaev Ivan
Institute of Computer Science, Udmurt State University
Verified email at rcd.ru - Homepage
Title
Cited by
Cited by
Year
The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere
AV Borisov, IS Mamaev, IA Bizyaev
Regular and Chaotic Dynamics 18, 277-328, 2013
1382013
The Jacobi integral in nonholonomic mechanics
AV Borisov, IS Mamaev, IA Bizyaev
Regular and Chaotic Dynamics 20, 383-400, 2015
572015
The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration
IA Bizyaev, AV Borisov, IS Mamaev
Regular and Chaotic Dynamics 22, 955-975, 2017
552017
The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside
IA Bizyaev, AV Borisov, IS Mamaev
Regular and Chaotic Dynamics 19, 198-213, 2014
522014
Fermi-like acceleration and power-law energy growth in nonholonomic systems
IA Bizyaev, AV Borisov, VV Kozlov, IS Mamaev
Nonlinearity 32 (9), 3209, 2019
422019
Historical and critical review of the development of nonholonomic mechanics: the classical period
AV Borisov, IS Mamaev, IA Bizyaev
Regular and Chaotic Dynamics 21, 455-476, 2016
372016
Dynamics of the Suslov problem in a gravitational field: Reversal and strange attractors
IA Bizyaev, AV Borisov, AO Kazakov
Regular and Chaotic Dynamics 20, 605-626, 2015
372015
Chaplygin sleigh with periodically oscillating internal mass
IA Bizyaev, AV Borisov, SP Kuznetsov
Europhysics Letters 119 (6), 60008, 2017
352017
The Chaplygin sleigh with friction moving due to periodic oscillations of an internal mass
IA Bizyaev, AV Borisov, SP Kuznetsov
Nonlinear Dynamics 95, 699-714, 2019
332019
Exotic dynamics of nonholonomic roller racer with periodic control
IA Bizyaev, AV Borisov, IS Mamaev
Regular and Chaotic Dynamics 23, 983-994, 2018
332018
The spatial problem of 2 bodies on a sphere. Reduction and stochasticity
AV Borisov, IS Mamaev, IA Bizyaev
Regular and Chaotic Dynamics 21, 556-580, 2016
332016
The inertial motion of a roller racer
IA Bizyaev
Regular and Chaotic Dynamics 22, 239-247, 2017
312017
On the Routh sphere problem
IA Bizyaev, AV Tsiganov
Journal of Physics A: Mathematical and Theoretical 46 (8), 085202, 2013
312013
Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics
AV Borisov, IS Mamaev, IA Bizyaev
Russian Mathematical Surveys 72 (5), 783, 2017
272017
Qualitative analysis of the dynamics of a wheeled vehicle
AV Borisov, IS Mamaev, AA Kilin, IA Bizyaev
Regular and Chaotic Dynamics 20, 739-751, 2015
232015
Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups
IA Bizyaev, AV Borisov, AA Kilin, IS Mamaev
Regular and Chaotic Dynamics 21, 759-774, 2016
222016
Different models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problem
IA Bizyaev, AV Borisov, IS Mamaev
Regular and Chaotic Dynamics 24, 560-582, 2019
202019
Topology and bifurcations in nonholonomic mechanics
IA Bizyaev, A Bolsinov, A Borisov, I Mamaev
International Journal of Bifurcation and Chaos 25 (10), 1530028, 2015
202015
Superintegrable generalizations of the Kepler and Hook problems
IA Bizyaev, AV Borisov, IS Mamaev
Regular and Chaotic Dynamics 19, 415-434, 2014
192014
The dynamics of three vortex sources
IA Bizyaev, AV Borisov, IS Mamaev
Regular and Chaotic Dynamics 19, 694-701, 2014
182014
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