RUS  ENG
Полная версия
ЖУРНАЛЫ // Russian Journal of Nonlinear Dynamics // Архив

Rus. J. Nonlin. Dyn., 2021, том 17, номер 4, страницы 453–464 (Mi nd770)

Эта публикация цитируется в 1 статье

Nonlinear physics and mechanics

On the Orbital Stability of Pendulum-like Oscillations of a Heavy Rigid Body with a Fixed Point in the Bobylev – Steklov Case

B. S. Bardinabc, E. A. Chekinaa

a Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993 Russia
b Mechanical Engineering Research Institute of the Russian Academy of Sciences, M. Kharitonyevskiy per. 4, Moscow, 101990 Russia
c Moscow Automobile and Road Construction State Technical University (MADI), Leningradsky pr. 64, Moscow, 125319 Russia

Аннотация: 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.

Ключевые слова: rigid body, rotations, oscillations, orbital stability, Hamiltonian system, local coordinates, normal form.

MSC: 34D20, 37J40, 70K30, 70K45, 37N05

Поступила в редакцию: 07.12.2021
Принята в печать: 15.12.2021

Язык публикации: английский

DOI: 10.20537/nd210407



Реферативные базы данных:


© МИАН, 2024