The stability of a class of reversible systems
type: Item
instance of: scholarly article
title: The stability of a class of reversible systems
zbMATH Open document ID: 0799.70012
DOI: 10.1016/0021-8928(91)90130-M
author: A. L. Kunitsyn
author: Mikhail Matveev
published in: Journal of Applied Mathematics and Mechanics
publication date: 1994-03-07T00:00:00Z
review text: The paper is devoted to a class of reversible systems characterized by the critical case of zero roots and by some pairs of pure imaginary roots. According to the theorems proposed by the authors, the Lyapunov's stability and instability problems may be solved in the cases of internal resonances. As an illustrative example, the stability analysis of an active satellite in a non-Keplerian circular orbit is presented.
Mathematics Subject Classification ID: 70K20
Mathematics Subject Classification ID: 70M20
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 500838
zbMATH Keywords: autonomous system
zbMATH Keywords: Birkhoff stability
zbMATH Keywords: internal resonances
zbMATH Keywords: active satellite
zbMATH Keywords: non-Keplerian circular orbit
reviewed by: Sergiu T. Chiriacescu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 500838