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Qualitative Theory of Dynamical Systems

, Volume 4, Issue 2, pp 383–411 | Cite as

A note on the conservation of energy and volume in the setting of nonholonomic mechanical systems

  • Marcelo H. Kobayashi
  • Waldyr M. Oliva
Article

Abstract

This note concerns the analysis of conservation of energy and volume for a series of well known examples of nonholonomic mechanical systems, with linear and non-linear constraints, and aims to make evident some geometric aspects related with them.

Key Words

mechanical systems energy and volume conservation nonholonomic constraints 

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Copyright information

© Birkhäuser-Verlag 2004

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of Hawai'i at ManoaHonolulu
  2. 2.Instituto Superior TécnicoISR and CAMGSDLisbonPortugal

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