On the Orbital Stability of Pendulum-Type Motions in the Approximate Problem of Kovalevskaya Top Dynamics with a Vibrating Suspension Point

Author:

Belichenko M. V.

Publisher

Allerton Press

Subject

General Physics and Astronomy,Mechanics of Materials

Reference23 articles.

1. B. K. Mlodzeevsky, “About permanent axes in the movement of a heavy solid body around a fixed point,” Proc. Dep. Phys. Sci. Soc. Devotees Nat. Sci., Anthropol., Ethnography 7 (1), 46–48 (1894).

2. Yu. A. Arkhangelskii, “On the stability of motion of a heavy solid about a fixed point in a certain special case,” Prikl. Mat. Mekh. 24 (2), 294–302 (1960).

3. A. P. Markeev, “On flat and near-flat rotations of a heavy rigid body around a fixed point,” Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 4, 29–36 (1988).

4. A. P. Markeyev, “The stability of the plane motions of a rigid body in the Kovalevskaya case,” J. Appl. Math. Mech. 65 (1), 47–54 (2001).

5. A. P. Markeev, S. V. Medvedev, and T. N. Chekhovskaya, “To the problem of stability of pendulum-like vibrations of a rigid body in Kovalevskaya’s case,” Mech. Solids 38 (1), 1–6 (2003).

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