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Эта публикация цитируется в 5 научных статьях (всего в 5 статьях)
An integrable motion of a particle on a smooth ellipsoid
H. M. Yehia Department of Mathematics, Faculty of Science,
Mansoura University, Mansoura 35516, Egypt
Аннотация:
In the present note we introduce a full isomorphism between the problems of motion of a triaxial rigid body and motion of a particle on a triaxial ellipsoid. Using this isomorphism, we can obtain a very special case of integrability in the last problem from an integrable case of the first problem. The new case is time irreversible and is not separable in any configurational variables for arbitrary initial conditions. It can be interpreted as a motion of an electrically charged particle under potential and Lorentz forces. The result is extended to cases of motion on one-sheeted and two-sheeted hyperboloid.
Поступила в редакцию: 11.10.2003
Образец цитирования:
H. M. Yehia, “An integrable motion of a particle on a smooth ellipsoid”, Regul. Chaotic Dyn., 8:4 (2003), 463–468
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd796 https://www.mathnet.ru/rus/rcd/v8/i4/p463
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