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This article is cited in 4 scientific papers (total in 4 papers)
Motion of a disk within a sphere
A. G. Kholmskaya Laboratory of dynamical chaos and non-linearity,
Udmurt State University,
Universitetskaya, 1, Izhevsk, 426034
Abstract:
The motion of a round dynamically symmetrical disk within a sphere covered by smooth ice is considered. It is shown that in the absence of a gravity field equations of motion may be reduced to quadratures. Conditions for the stability of stationary motions have been found. Probability of a falling of a disk has been investigated. Regions allowed for the motion in a gravity field and characterizing by the disk orientation and the situation of a trajectory of a contact point on a sphere surface have been built. The conclusion on the non-integrability on the analysis of Poincare sections of a problem on a round dynamically symmetrical disk moving on a smooth sphere surface has been made.
Received: 07.06.1998
Citation:
A. G. Kholmskaya, “Motion of a disk within a sphere”, Regul. Chaotic Dyn., 3:2 (1998), 74–81
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https://www.mathnet.ru/eng/rcd940 https://www.mathnet.ru/eng/rcd/v3/i2/p74
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Abstract page: | 69 |
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