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Эта публикация цитируется в 22 научных статьях (всего в 22 статьях)
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
Аннотация:
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.
Ключевые слова:
nonholonomic mechanical systems, conservation of energy, reaction-annihilator distribution, gauge momenta, nonholonomic Noether theorem.
Поступила в редакцию: 05.05.2015
Образец цитирования:
Francesco Fassò, Nicola Sansonetto, “Conservation of Energy and Momenta in Nonholonomic Systems with Affine Constraints”, Regul. Chaotic Dyn., 20:4 (2015), 449–462
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd25 https://www.mathnet.ru/rus/rcd/v20/i4/p449
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