The dynamics of circulant and near-circulant systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1978 English Publisher:Springer Science and Business Media LLCJournal:Acta Mechanica, volume 29, pages 1-6 (issn: 0001-5970, eissn: 1619-6937,

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Authors: Mitchell, T. P.;

doi: 10.1007/bf01176622

The dynamics of circulant and near-circulant systems

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Abstract

Point mass systems in which the interaction matrix is a symmetric circulant occur in a wide variety of physical situations. In many cases also the interaction matrix, while not being a circulant, may differ only slightly from one. The dynamics of both exact and near-circulant systems are analysed in the present paper. In particular the influence of a perturbative interaction on an exact system, which is intrinsically degenerate, is studied using an action-angle formulation. A specific application of interest is presented.

Related Organizations

University of California, Santa Barbara
United States

Keywords

Dynamics of a system of particles, including celestial mechanics, Linear vibration theory, Stability for problems in linear vibration theory, Model systems in control theory

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