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Journal of Applied and Industrial Mathematics
Erschienen in: Journal of Applied and Industrial Mathematics 4/2020

01.11.2020

Families of Portraits of Some Pendulum-Like Systems in Dynamics

verfasst von: M. V. Shamolin

Erschienen in: Journal of Applied and Industrial Mathematics | Ausgabe 4/2020

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Abstract

The so-called pendulum-like systems arise in dynamics of a rigid body in a non-conservative field, in the theory of oscillations, and in theoretical physics. In this article, the methods of analysis are described which allow us to generalize the previous results. Herewith, we deal with some qualitative questions of the theory of ordinary differential equations whose solution facilitates studying some dynamical systems. In result of investigating more general classes of systems, we show that these general systems possess the already known family of nonequivalent phase portraits. We also deal with the aspect of integrability.
Vorheriger Artikel Some Approximate Solutions of the Dynamic Problem of Axisymmetric Shock Deformation of a Previously Unstressed Incompressible Elastic Medium
Nächster Artikel A Mathematical Model of Aseptic Inflammation Dynamics

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Metadaten
Titel
Families of Portraits of Some Pendulum-Like Systems in Dynamics
verfasst von
M. V. Shamolin
Publikationsdatum
01.11.2020
Verlag
Pleiades Publishing
Erschienen in
Journal of Applied and Industrial Mathematics / Ausgabe 4/2020
Print ISSN: 1990-4789
Elektronische ISSN: 1990-4797
DOI
https://doi.org/10.1134/S1990478920040146

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