Geodesic
On the Orbital Stability of Pendulum-like Oscillations
Russian journal of nonlinear dynamics, Tome 17 (2021) no. 4, pp. 453-464

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The orbital stability of pendulum-like oscillations of a heavy rigid body with a fixed point in the Bobylev – Steklov case is investigated. In particular, a nonlinear study of the orbital stability is performed for the so-called case of degeneracy, where it is necessary to take into account terms of order six in the Hamiltonian expansion in a neighborhood of the unperturbed periodic orbit.
Keywords: rigid body, orbital stability, Hamiltonian system, local coordinates, normal form.
Mots-clés : rotations, oscillations 
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     author = {B. S. Bardin and E. A. Chekina},
     title = {On the {Orbital} {Stability} of {Pendulum-like} {Oscillations}},
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     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2021_17_4_a6/}
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B. S. Bardin; E. A. Chekina. On the Orbital Stability of Pendulum-like Oscillations. Russian journal of nonlinear dynamics, Tome 17 (2021) no. 4, pp. 453-464. http://geodesic.mathdoc.fr/item/ND_2021_17_4_a6/