On maintaining the stability of the equilibrium of nonlinear oscillators under conservative perturbations

The problem of Yu.N. Bibikov on maintaining the stability of the equilibrium position of two interconnected nonlinear oscillators under the action of small, in a certain sense, conservative perturbing forces is considered. With different methods of reducing the system to the Hamiltonian form, some f...

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Bibliographic Details
Main Author: Kosov Alexander A.
Format: Article
Language:English
Published: National Research Mordovia State University 2021-08-01
Series:Журнал Средневолжского математического общества
Subjects:
Online Access:http://journal.svmo.ru/en/archive/article?id=1727