Motion of a heavy bead along a circular hoop rotating around an inclined axisстатья
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Дата последнего поиска статьи во внешних источниках: 3 ноября 2021 г.
Аннотация:The motion of a heavy bead on a smooth ring is considered. The ring is rotating uniformly around an inclined diameter. The integrability of the equations is studied using the method of splitting separatrices. The Poincaré maps for the period are constructed. Some classes of periodic motion are identified, and their stability is investigated. The reaction is calculated, and its properties are discussed.