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Эта публикация цитируется в 49 научных статьях (всего в 50 статьях)
Dynamics of rolling disk
A. V. Borisov, I. S. Mamaev, A. A. Kilin Institute of Computer Science,
Universitetskaya, 1,
426034, Izhevsk, Russia
Аннотация:
In the paper we present the qualitative analysis of rolling motion without slipping of a homogeneous round disk on a horisontal plane. The problem was studied by S.A. Chaplygin, P. Appel and D. Korteweg who showed its integrability. The behavior of the point of contact on a plane is investigated and conditions under which its trajectory is finit are obtained. The bifurcation diagrams are constructed.
Поступила в редакцию: 22.08.2002
Образец цитирования:
A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Dynamics of rolling disk”, Regul. Chaotic Dyn., 8:2 (2003), 201–212
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd777 https://www.mathnet.ru/rus/rcd/v8/i2/p201
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Страница аннотации: | 143 |
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