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Regular and Chaotic Dynamics

, Volume 20, Issue 5, pp 497–517 | Cite as

The dynamics of an articulated n-trailer vehicle

  • Alejandro Bravo-Doddoli
  • Luis C. García-Naranjo
Article

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 

MSC2010 numbers

37J60 70F25 70G45 58A30 

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Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  • Alejandro Bravo-Doddoli
    • 1
  • Luis C. García-Naranjo
    • 2
  1. 1.Depto. de Matemáticas, Facultad de Ciencias, UNAM, Circuito Exterior S/NCiudad UniversitariaMexico CityMexico
  2. 2.Departamento de Matemáticas y MecánicaIIMAS-UNAMMexico CityMexico

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