Alexey V. Borisov

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Ivan S. MamaevKalashnikov Izhevsk State Technical UniversityVerified email at rcd.ru
Alexander A. KilinUral Mathematical Center, Udmurt State UniversityVerified email at rcd.ru
Alexey BolsinovReader, Mathematical Sciences, Loughborough UniversityVerified email at lboro.ac.uk
Alexey KazakovNational Research University Higher School of EconomicsVerified email at hse.ru
Sergey P. KuznetsovУдмуртский государственный университетVerified email at rcd.ru
Yury KaravaevKalashnikov Izhevsk State Technical University / Institute of Computer Science, Udmurt StateVerified email at istu.ru
Andrey TsiganovСПбГУVerified email at phys.spbu.ru
Valery V. KozlovV.A. Steklov Mathematical Institute RASVerified email at pran.ru
Evgeny V. VetchaninUral Mathematical Center, Udmurt State University, Kalashnikov Izhevsk State Technical UniversityVerified email at ics.org.ru
Yuri N FedorovUniversitat Politecnica de Catalunya, BarcelonaVerified email at upc.edu
Alexander P. IvanovМФТИ, кафедра теоретической механикиVerified email at orc.ru
Elena PivovarovaUral Mathematical Center, Udmurt State UniversityVerified email at rcd.ru
Dmitry TreschevSteklov mathematical institute of RASVerified email at mi.ras.ru
Luis C García-NaranjoUniversità di PadovaVerified email at math.unipd.it
Nadezhda ErdakovaInstitute of Computer Science, Udmurt State University, Izhevsk, RussiaVerified email at udsu.ru
Nikolai KudryashovNational Research Nuclear University MEPHIVerified email at mephi.ru
Mikhail A. SokolovskiyWater Problems Institute of RAS, Principal ScientistVerified email at iwp.ru
Sergei V. SokolovMoscow Institute of Physics and TechnologyVerified email at mipt.ru
Vladimir MarikhinL.D. Landau Institute for Theoretical PhysicsVerified email at itp.ac.ru
Dmitry TuraevImperial College, LondonVerified email at imperial.ac.uk

Alexey V. Borisov

Moscow Institute of Physics and Technology

Verified email at rcd.ru - Homepage

Dynamical Systems Robotics Nonholonomic Mechanics Votrex Dynamics Celestial Mechanics


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The rolling body motion of a rigid body on a plane and a sphere. Hierarchy of dynamics AV Borisov, IS Mamaev arXiv preprint nlin/0306002, 2003	214	2003
Rigid body dynamics A Borisov, IS Mamaev Walter de Gruyter GmbH & Co KG, 2018	213*	2018
Динамика твердого тела АВ Борисов, ИС Мамаев Научно-издательский центр" Регулярная и хаотическая динамика", 2001	194	2001
The rolling motion of a ball on a surface. New integrals and hierarchy of dynamics AV Borisov, IS Mamaev, AA Kilin Regular and Chaotic Dynamics 7 (2), 201-219, 2002	157	2002
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	146	2013
How to control Chaplygin’s sphere using rotors AV Borisov, AA Kilin, IS Mamaev Regular and Chaotic Dynamics 17, 258-272, 2012	145	2012
Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems AV Borisov, IS Mamaev Regular and Chaotic Dynamics 13, 443-490, 2008	145	2008
On a motion of a heavy body of revolution on a horizontal plane A Borisov, I Mamaev, A Kilin Regular and Chaotic Dynamics 7 (2), 119-130, 2002	141	2002
Динамика твердого тела: Гамильтоновы методы, интегрируемость, хаос АВ Борисов, ИС Мамаев Научно-издательский центр" Регулярная и хаотическая динамика", 2005	125	2005
Strange attractors in rattleback dynamics AV Borisov, IS Mamaev Physics-Uspekhi 46 (4), 393, 2003	120	2003
Topology and stability of integrable systems AV Bolsinov, AV Borisov, IS Mamaev Russian Mathematical Surveys 65 (2), 259, 2010	112	2010
Rigid body dynamics: Hamiltonian methods, integrability, chaos AV Borisov, IS Mamaev Gao deng jiao yu chu ban she, 2018	103	2018
How to control the Chaplygin ball using rotors. II AV Borisov, AA Kilin, IS Mamaev Regular and Chaotic Dynamics 18, 144-158, 2013	98	2013
Poisson structures and Lie algebras in Hamiltonian mechanics AV Borisov, IS Mamaev Izhevsk: RCD publ, 464, 1999	97	1999
Математические методы динамики вихревых структур АВ Борисов, ИС Мамаев Автономная некоммерческая организация Ижевский институт компьютерных …, 2005	96	2005
Dynamics of rolling disk AV Borisov, IS Mamaev, AA Kilin arXiv preprint nlin/0502039, 2005	92	2005
Mathematical methods in the dynamics of vortex structures AV Borisov, IS Mamaev Inst. Comput. Sci., Moscow-Izhevsk, 368p, 2005	89	2005
Compatible Poisson brackets on Lie algebras AV Bolsinov, AV Borisov Mathematical Notes 72, 10-30, 2002	87	2002
The reversal and chaotic attractor in the nonholonomic model of Chaplygin’s top AV Borisov, AO Kazakov, IR Sataev Regular and Chaotic Dynamics 19, 718-733, 2014	82	2014
Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds AV Bolsinov, AV Borisov, IS Mamaev Regular and Chaotic Dynamics 16, 443-464, 2011	79	2011

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