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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 300, Pages 228–237 (Mi znsl1014)  
This article is cited in 1 scientific paper (total in 1 paper)

Cartesian approach for nonholonomic systems

R. Ramireza, N. Sadovskaiab

a Departament d'Enginyeria Informàtica, Universitat Rovira i Virgili
b Polytechnic University of Catalonia, Department of Applied Mathematics II
Full-text PDF (171 kB) Citations (1)
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Abstract: The aim of this communication is to develop a Cartesian approach to describe nonholonomic systems with constraints which are linear with respect to velocity. The obtained results are applied to study the classical nonholonomic system: the constrained particle in $\mathbb{R}^3$, the Chapliguin–Carathéodory sleigh and the symmetrical top in the Suslov problem.
Received: 30.11.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 2, Pages 2812–2817
DOI: https://doi.org/10.1007/s10958-005-0237-5
Bibliographic databases:
UDC: 517.9
Language: English
Citation: R. Ramirez, N. Sadovskaia, “Cartesian approach for nonholonomic systems”, Representation theory, dynamical systems. Part VIII, Special issue, Zap. Nauchn. Sem. POMI, 300, POMI, St. Petersburg, 2003, 228–237; J. Math. Sci. (N. Y.), 128:2 (2005), 2812–2817
Citation in format AMSBIB
\Bibitem{RamSad03}
\by R.~Ramirez, N.~Sadovskaia
\paper Cartesian approach for nonholonomic systems
\inbook Representation theory, dynamical systems. Part~VIII
\bookinfo Special issue
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 300
\pages 228--237
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1014}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1995363}
\zmath{https://zbmath.org/?q=an:1126.70008}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 2
\pages 2812--2817
\crossref{https://doi.org/10.1007/s10958-005-0237-5}
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  • https://www.mathnet.ru/eng/znsl/v300/p228
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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