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Russia Izhevsk
Section Mechanics
Title Stability analysis of periodic solutions in the problem of the rolling of a ball with a pendulum
Author(-s) Pivovarova E.N.a, Ivanova T.B.a
Affiliations Udmurt State Universitya
Abstract In the paper we study the stability of a spherical shell rolling on a horizontal plane with Lagrange's gyroscope inside. A linear stability analysis is made for the upper and lower position of a top. A bifurcation diagram of the system is constructed. The trajectories of the contact point for different values of the integrals of motion are constructed and analyzed.
Keywords rolling motion, stability, Lagrange’s gyroscope, bifurcational diagram
UDC 531.31
MSC 37J60
DOI 10.20537/vm120412
Received 13 August 2012
Language Russian
Citation Pivovarova E.N., Ivanova T.B. Stability analysis of periodic solutions in the problem of the rolling of a ball with a pendulum, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012, issue 4, pp. 146-155.
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