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Regular and Chaotic Dynamics, 2015, Volume 20, Issue 4, Pages 449–462
DOI: https://doi.org/10.1134/S1560354715040048 (Mi rcd25) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Conservation of Energy and Momenta in Nonholonomic Systems with Affine Constraints

Francesco Fassò, Nicola Sansonetto

Università di Padova, Dipartimento di Matematica, Via Trieste 63, 35121 Padova, Italy
Citations (22)
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DOI: https://doi.org/10.1134/S1560354715040048
Abstract: We characterize the conditions for the conservation of the energy and of the components of the momentum maps of lifted actions, and of their "gauge-like" generalizations, in time-independent nonholonomic mechanical systems with affine constraints. These conditions involve geometrical and mechanical properties of the system, and are codified in the so-called reaction-annihilator distribution.
Keywords: nonholonomic mechanical systems, conservation of energy, reaction-annihilator distribution, gauge momenta, nonholonomic Noether theorem.
Received: 05.05.2015
Bibliographic databases:
Document Type: Article
MSC: 70F25, 37J60, 37J15, 70E18
Language: English
Citation: Francesco Fassò, Nicola Sansonetto, “Conservation of Energy and Momenta in Nonholonomic Systems with Affine Constraints”, Regul. Chaotic Dyn., 20:4 (2015), 449–462
Citation in format AMSBIB
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\paper Conservation of Energy and Momenta in Nonholonomic Systems with Affine Constraints
\jour Regul. Chaotic Dyn.
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\pages 449--462
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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