On motions in a small neighborhood of zero of a multidimensional system
DOI:
https://doi.org/10.15407/dopovidi2018.06.049Keywords:
bifurcation, nonlinear multidimensional systemAbstract
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.
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