|
Эта публикация цитируется в 23 научных статьях (всего в 23 статьях)
Bicentennial of C.G. Jacobi
Mathematical analysis of the tippe top
S. Rauch-Wojciechowski, M. Sköeldstam, T. Glad Department of Mathematics,
Linköping University,
SE-581 83 Linköping, Sweden
Аннотация:
A rigorous, and possibly complete analysis of the phase space picture of the tippe top solutions for all initial conditions when the top does not jump and all relations between parameters $\alpha$ and $\gamma$, is for the first time presented here. It is based on the use the Jellett's integral of motion $\lambda$ and the analysis of the energy function. Theorems about stability and attractivity of the asymptotic manifold are proved in detail. Lyapunov stability of (periodic) asymptotic solutions with respect to arbitrary perturbations is shown.
Ключевые слова:
tippe top, rigid body, stability, Jellett's integral.
Поступила в редакцию: 27.01.2005 Принята в печать: 16.06.2005
Образец цитирования:
S. Rauch-Wojciechowski, M. Sköeldstam, T. Glad, “Mathematical analysis of the tippe top”, Regul. Chaotic Dyn., 10:4 (2005), 333–362
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd714 https://www.mathnet.ru/rus/rcd/v10/i4/p333
|
Статистика просмотров: |
Страница аннотации: | 122 |
|