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Regular and Chaotic Dynamics, 2015, Volume 20, Issue 5, Pages 497–517
DOI: https://doi.org/10.1134/S1560354715050019 (Mi rcd18) 		 
This article is cited in 28 scientific papers (total in 28 papers)

The Dynamics of an Articulated $n$-trailer Vehicle

Alejandro Bravo-Doddolia, Luis C. García-Naranjob

a Depto. de Matemáticas, Facultad de Ciencias, UNAM, Circuito Exterior S/N, Ciudad Universitaria, Mexico City, 04510, Mexico
b Departamento de Matemáticas y Mecánica, IIMAS-UNAM Apdo Postal 20-726, Mexico City, 01000, Mexico
Citations (28)
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DOI: https://doi.org/10.1134/S1560354715050019
Abstract: We derive the reduced equations of motion for an articulated $n$-trailer vehicle that moves under its own inertia on the plane. We show that the energy level surfaces in the reduced space are $(n+1)$-tori and we classify the equilibria within them, determining their stability. A thorough description of the dynamics is given in the case $n=1$.
Keywords: dynamics, nonholonomic constraints, $n$-trailer vehicle.
Funding agency Grant number
Programa de Apoyo a Proyectos de Investigación e Innovación Tecnológica IA103815
LGN acknowledges the support received from the project PAPIIT IA103815.
Received: 21.08.2015
Accepted: 08.09.2015
Bibliographic databases:
Document Type: Article
MSC: 37J60, 70F25, 70G45, 58A30
Language: English
Citation: Alejandro Bravo-Doddoli, Luis C. García-Naranjo, “The Dynamics of an Articulated $n$-trailer Vehicle”, Regul. Chaotic Dyn., 20:5 (2015), 497–517
Citation in format AMSBIB
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\by Alejandro Bravo-Doddoli, Luis C. Garc{\'\i}a-Naranjo
\paper The Dynamics of an Articulated $n$-trailer Vehicle
\jour Regul. Chaotic Dyn.
\yr 2015
\vol 20
\issue 5
\pages 497--517
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\crossref{https://doi.org/10.1134/S1560354715050019}
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    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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