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Matematicheskie Zametki, 2006, Volume 79, Issue 5, Pages 790–796
DOI: https://doi.org/10.4213/mzm2753 (Mi mzm2753) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Brief Communications

On a nonholonomic dynamical problem

A. V. Borisovab, A. A. Kilinab, I. S. Mamaevab

a Udmurt State University
b Institute of Computer Science
Full-text PDF (288 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm2753
Received: 17.08.2005
English version:
Mathematical Notes, 2006, Volume 79, Issue 5, Pages 734–740
DOI: https://doi.org/10.1007/s11006-006-0085-8
Bibliographic databases:
Document Type: Article
UDC: 531.36
Language: Russian
Citation: A. V. Borisov, A. A. Kilin, I. S. Mamaev, “On a nonholonomic dynamical problem”, Mat. Zametki, 79:5 (2006), 790–796; Math. Notes, 79:5 (2006), 734–740
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm2753
  • https://doi.org/10.4213/mzm2753
  • https://www.mathnet.ru/eng/mzm/v79/i5/p790
    • This publication is cited in the following 10 articles:
    1. Alexander A. Kilin, Elena N. Pivovarova, Tatiana B. Ivanova, “Rolling of a Homogeneous Ball on a Moving Cylinder”, Regul. Chaot. Dyn., 2024  crossref
    2. Ivanova T.B., “Non-Holonomic Rolling of a Ball on the Surface of a Rotating Cylinder”, ZAMM-Z. Angew. Math. Mech., 100:12 (2020), e202000067  crossref  mathscinet  isi  scopus
    3. Borisov A.V., Ivanova T.B., Kilin A.A., Mamaev I.S., “Nonholonomic Rolling of a Ball on the Surface of a Rotating Cone”, Nonlinear Dyn., 97:2 (2019), 1635–1648  crossref  isi
    4. I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Dinamika sanei Chaplygina na tsilindre”, Nelineinaya dinam., 12:4 (2016), 675–687  mathnet  crossref  mathscinet  zmath  elib
    5. Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “Dynamics of the Chaplygin Sleigh on a Cylinder”, Regul. Chaotic Dyn., 21:1 (2016), 136–146  mathnet  crossref  mathscinet  zmath  elib
    6. Bolsinov A.V., Kilin A.A., Kazakov A.O., “Topological Monodromy as An Obstruction To Hamiltonization of Nonholonomic Systems: Pro Or Contra?”, J. Geom. Phys., 87 (2015), 61–75  crossref  mathscinet  zmath  adsnasa  isi  scopus
    7. A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “The Jacobi Integral in Nonholonomic Mechanics”, Regul. Chaotic Dyn., 20:3 (2015), 383–400  mathnet  crossref  mathscinet  zmath  adsnasa  elib
    8. A. V. Bolsinov, A. A. Kilin, A. O. Kazakov, “Topologicheskaya monodromiya v negolonomnykh sistemakh”, Nelineinaya dinam., 9:2 (2013), 203–227  mathnet
    9. Nucci M. C., Leach P. G. L., “Jacobi's last multiplier and Lagrangians for multidimensional systems”, J. Math. Phys., 49:7 (2008), 073517, 8 pp.  crossref  mathscinet  zmath  adsnasa  isi  scopus
    10. Nucci M.C., Leach P.G.L., “The Jacobi Last Multiplier and its applications in mechanics”, Phys. Scr., 78:6 (2008), 065011, 6 pp.  crossref  zmath  adsnasa  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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