N. Goncharuk

activity

20132026

most citedFamilies of vector fields with many numerical invariants

4 citations · 14 across the 15 of their papers we have counts for

collaborators

Showing 2017 · math.DSShow all

2 papers · 2 filters

math.DS2017★ 1 cited

Complex rotation numbers: bubbles and their intersections

Nataliya Goncharuk

The construction of complex rotation numbers, due to V.Arnold, gives rise to a fractal-like set "bubbles" related to a circle diffeomorphism. "Bubbles" is a complex analogue to Arn…

math.DS2017

Global bifurcations in generic one-parameter families with a parabolic cycle on $S^{2}$

Nataliya Goncharuk, Yulij Ilyashenko, Nikita Solodovnikov

We classify global bifurcations in generic one-parameter local families of \vfs on $S^{2}$ with a parabolic cycle. The classification is quite different from the classical results pr…

Complex rotation numbers: bubbles and their intersections

Global bifurcations in generic one-parameter families with a parabolic cycle on S2

Global bifurcations in generic one-parameter families with a parabolic cycle on $S^{2}$