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О сложных колебаниях в системах при периодическом воздействии

The principle of skew-symmetry is formulated. It describes the closed orbits of limiting cycles and the quasi-periodic trajectories of stable vibrations. The conditions of attraction of synchronized limiting cycle in the whole are listed. A bifurcational phase picture of synchronized limiting cyc...

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Bibliographic Details
Main Author: Никитина, Н.В.
Format: Article
Language:Russian
Published: Інститут механіки ім. С.П. Тимошенка НАН України 2010
Series:Прикладная механика
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/95457
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Summary:The principle of skew-symmetry is formulated. It describes the closed orbits of limiting cycles and the quasi-periodic trajectories of stable vibrations. The conditions of attraction of synchronized limiting cycle in the whole are listed. A bifurcational phase picture of synchronized limiting cycle is considered. It is shown that the subharmonic capture of limiting cycle with the multiple increasing the period includes the skew loss and saving the attraction.