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Regular and Chaotic Dynamics, 2015, Volume 20, Issue 6, Pages 739–751
DOI: https://doi.org/10.1134/S156035471506009X (Mi rcd32) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Qualitative Analysis of the Dynamics of a Wheeled Vehicle

Alexey V. Borisov, Ivan S. Mamaev, Alexander A. Kilin, Ivan A. Bizyaev

Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Citations (19)
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DOI: https://doi.org/10.1134/S156035471506009X
Abstract: This paper is concerned with the problem of the motion of a wheeled vehicle on a plane in the case where one of the wheel pairs is fixed. In addition, the motion of a wheeled vehicle on a plane in the case of two free wheel pairs is considered. A method for obtaining equations of motion for the vehicle with an arbitrary geometry is presented. Possible kinds of motion of the vehicle with a fixed wheel pair are determined.
Keywords: nonholonomic constraint, system dynamics, wheeled vehicle, Chaplygin system.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Scientific Foundation (project 14-50-00005) and was carried out at the Steklov Mathematical Institute of the Russian Academy of Sciences.
Received: 25.08.2015
Accepted: 29.10.2015
Bibliographic databases:
Document Type: Article
MSC: 70F25, 37J60
Language: English
Citation: Alexey V. Borisov, Ivan S. Mamaev, Alexander A. Kilin, Ivan A. Bizyaev, “Qualitative Analysis of the Dynamics of a Wheeled Vehicle”, Regul. Chaotic Dyn., 20:6 (2015), 739–751
Citation in format AMSBIB
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\by Alexey V. Borisov, Ivan S. Mamaev, Alexander A. Kilin, Ivan A. Bizyaev
\paper Qualitative Analysis of the Dynamics of a Wheeled Vehicle
\jour Regul. Chaotic Dyn.
\yr 2015
\vol 20
\issue 6
\pages 739--751
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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