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Russian Journal of Mathematical Physics, 2015, Volume 22, Issue 4, Pages 444–453
DOI: https://doi.org/10.1134/S1061920815040032
(Mi rjmph2)
 

This article is cited in 11 scientific papers (total in 11 papers)

Hamiltonization of elementary nonholonomic systems

I. A. Bizyaeva, A. V. Borisovba, I. S. Mamaevc

a Udmurt State University, Universitetskaya ul. 1, 426034, Izhevsk, Russia
b Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina ul. 8, 119991, Moscow, Russia
c Izhevsk State Technical University, Studencheskaya ul. 7, 426069, Izhevsk, Russia
Citations (11)
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
NSh-2964.2014.1
Russian Foundation for Basic Research 13-01-12462-ofi_m
Russian Science Foundation 14-19-01303
The work of I. A. Bizyaev was completed in the framework of the basic part of the State assignment to higher schools. The work of A. V. Borisov was supported by the Russian Foundation for Basic Research under grant no. 13-01-12462-ofi_m and by a grant of the President of Russian Federation "Supporting Leading Scientific Schools" NSh-2964.2014.1. Sections 3 and 4 were completed by I. S. Mamaev in the framework of a grant of Russian Science Foundation (project no. 14-19-01303).
Received: 22.10.2015
Bibliographic databases:
Document Type: Article
Language: English
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  • https://www.mathnet.ru/eng/rjmph2
  • This publication is cited in the following 11 articles:
    1. José F. Cariñena, Partha Guha, “Lichnerowicz-Witten differential, symmetries and locally conformal symplectic structures”, Journal of Geometry and Physics, 210 (2025), 105418  crossref
    2. William Clark, Anthony Bloch, “Existence of invariant volumes in nonholonomic systems subject to nonlinear constraints”, JGM, 15:1 (2023), 256  crossref
    3. José F. Cariñena, Eduardo Martínez, Miguel C. Muñoz-Lecanda, “Infinitesimal Time Reparametrisation and Its Applications”, J Nonlinear Math Phys, 29:3 (2022), 523  crossref
    4. Yong Wang, Jin-Chao Cui, Ju Chen, Yong-Xin Guo, “Quasi-canonicalization for linear homogeneous nonholonomic systems*”, Chinese Phys. B, 29:6 (2020), 064501  crossref
    5. Andrey V. Tsiganov, “Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane”, Regul. Chaotic Dyn., 24:2 (2019), 171–186  mathnet  crossref  isi  scopus
    6. Vyacheslav P. Kruglov, Sergey P. Kuznetsov, “Topaj – Pikovsky Involution in the Hamiltonian Lattice of Locally Coupled Oscillators”, Regul. Chaotic Dyn., 24:6 (2019), 725–738  mathnet  crossref  isi  scopus
    7. Partha Guha, STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health, Mathematical Structures and Applications, 2018, 275  crossref
    8. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    9. A.V. BORISOV, A.A. Kilin, I. S. Mamaev, “PRINTsIP GAMILTONA I KAChENIE SIMMETRIChNOGO ShARA, “Doklady Akademii nauk””, Doklady Akademii Nauk, 2017, no. 5, 558  crossref
    10. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “The Hamilton principle and the rolling motion of a symmetric ball”, Dokl. Math., 62:6 (2017), 314–317  mathnet  mathnet  crossref  crossref  isi  scopus
    11. Isaac A García, Benito Hernández-Bermejo, “Inverse Jacobi multiplier as a link between conservative systems and Poisson structures”, J. Phys. A: Math. Theor., 50:32 (2017), 325204  crossref
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