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Regular and Chaotic Dynamics, 2011, Volume 16, Issue 5, Pages 417–442
DOI: https://doi.org/10.1134/S1560354711050029 (Mi rcd445) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The Non-holonomic Double Pendulum: an Example of Non-linear Non-holonomic System

Sergio Benenti

Department of Mathematics, University of Turin, Via Carlo Alberto 10, 10123 Torino, Italy
Citations (6)
DOI: https://doi.org/10.1134/S1560354711050029
Abstract: An example of physically realizable non-linear non-holonomic mechanical system is proposed. The dynamical equations are written following a general method proposed in an earlier paper. In order to make this paper self-contained, an improved and shortened approach to the dynamics of non-holonomic systems is illustrated in preliminary sections.
Keywords: non-holonomic systems, dynamical systems.
Received: 18.01.2011
Accepted: 16.08.2011
Bibliographic databases:
Document Type: Article
MSC: 37J60, 70F25
Language: English
Citation: Sergio Benenti, “The Non-holonomic Double Pendulum: an Example of Non-linear Non-holonomic System”, Regul. Chaotic Dyn., 16:5 (2011), 417–442
Citation in format AMSBIB
\Bibitem{Ben11}
\by Sergio Benenti
\paper The Non-holonomic Double Pendulum: an Example of Non-linear Non-holonomic System
\jour Regul. Chaotic Dyn.
\yr 2011
\vol 16
\issue 5
\pages 417--442
\mathnet{http://mi.mathnet.ru/rcd445}
\crossref{https://doi.org/10.1134/S1560354711050029}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2844856}
\zmath{https://zbmath.org/?q=an:1309.37055}
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  • https://www.mathnet.ru/eng/rcd/v16/i5/p417
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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