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

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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.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Hawai'i at Manoa, 2540 Dole Street, Holmes Hall 302, 96822, Honolulu, HI

    Marcelo H. Kobayashi

  2. Instituto Superior Técnico, ISR and CAMGSD, Av. Rovisco Pais, 1, 1049-001, Lisbon, Portugal

    Waldyr M. Oliva

Authors
  1. Marcelo H. Kobayashi
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  2. Waldyr M. Oliva
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Correspondence to Marcelo H. Kobayashi.

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Dedicated to Jorge Sotomayor on his 60th birthday.

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Kobayashi, M.H., Oliva, W.M. A note on the conservation of energy and volume in the setting of nonholonomic mechanical systems. Qual. Th. Dyn. Syst 4, 383–411 (2004). https://doi.org/10.1007/BF02970866

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  • DOI: https://doi.org/10.1007/BF02970866

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