Title | On motions in a small neighborhood of zero of a multidimensional system |
Publication Type | Journal Article |
Year of Publication | 2018 |
Authors | Nikitina, NV |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2018.06.049 |
Issue | 6 |
Section | Mechanics |
Pagination | 49-57 |
Date Published | 6/2018 |
Language | Russian |
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. |
Keywords | bifurcation, nonlinear multidimensional system |
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