On motions in a small neighborhood of zero of a multidimensional system

TitleOn motions in a small neighborhood of zero of a multidimensional system
Publication TypeJournal Article
Year of Publication2018
AuthorsNikitina, NV
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2018.06.049
Issue6
SectionMechanics
Pagination49-57
Date Published6/2018
LanguageRussian
Abstract

The qualitative analysis of singular points of multidimensional systems is given. In three-dimensional systems (base models) that form attractors, the special points at zero can be saddle-headed or septofocus. In the bundle of two oscillators (Duffing and Van der Pol), the sum of characteristic indices at a singular point with syn ch ro nization is zero.

Keywordsbifurcation, nonlinear multidimensional system
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