Geodesic
Stability analysis of periodic solutions in the problem of the rolling of a ball with a pendulum
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2012), pp. 146-155 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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E. N. Pivovarova; T. B. Ivanova. Stability analysis of periodic solutions in the problem of the rolling of a ball with a pendulum. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2012), pp. 146-155. http://geodesic.mathdoc.fr/item/VUU_2012_4_a11/

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