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Эта публикация цитируется в 8 научных статьях (всего в 8 статьях)
Nonholonomic Systems
Nonholonomic Reduction for Free and Proper Actions
R. Cushmana, J. Śniatyckib a Mathematics Institute, University of Utrecht, 3508TA,
Utrecht, The Netherlands
b Department of Mathematics and Statistics,
University of Calgary, 2500,
University Dr. N.W., Calgary, Alberta, T2N 1N4 Canada
Аннотация:
We study a nonholonomically constrained Hamiltonian system with a symmetry group which acts properly and freely on a constraint distribution. We show that the reduced dynamics is described by a generalized distributional Hamiltonian system. The general theory is illustrated by the example of Chaplygin's skate.
Поступила в редакцию: 09.01.2002
Образец цитирования:
R. Cushman, J. Śniatycki, “Nonholonomic Reduction for Free and Proper Actions”, Regul. Chaotic Dyn., 7:1 (2002), 61–72
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd803 https://www.mathnet.ru/rus/rcd/v7/i1/p61
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