|
Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Nonholonomic mechanics
Hirota–Kimura Type Discretization of the Classical Nonholonomic Suslov Problem
V. Dragovićab, B. Gajića a Mathematical Institute SANU,
Kneza Mihaila 36, Belgrade, Serbia
b Grupo de Fisica Matematica,
Complexo Interdisciplinar da Universidade de Lisboa,
Av. Prof. Gama Pinto, 2, PT-1649-003 Lisboa, Portugal
Аннотация:
We constructed Hirota–Kimura type discretization of the classical nonholonomic Suslov problem of motion of rigid body fixed at a point. We found a first integral proving integrability. Also, we have shown that discrete trajectories asymptotically tend to a line of discrete analogies of so-called steady-state rotations. The last property completely corresponds to well-known property of the continuous Suslov case. The explicite formulae for solutions are given. In $n$-dimensional case we give discrete equations.
Ключевые слова:
Hirota–Kimura type discretization, nonholonomic mechanics, Suslov problem, rigid body.
Поступила в редакцию: 26.06.2008 Принята в печать: 14.07.2008
Образец цитирования:
V. Dragović, B. Gajić, “Hirota–Kimura Type Discretization of the Classical Nonholonomic Suslov Problem”, Regul. Chaotic Dyn., 13:4 (2008), 250–256
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd576 https://www.mathnet.ru/rus/rcd/v13/i4/p250
|
Статистика просмотров: |
Страница аннотации: | 68 |
|