4 citations · 4 across the 1 of their papers we have counts for
3 papers
New structurally unstable families of planar vector fields
Nataliya Goncharuk, Yury G. Kudryashov, Nikita Solodovnikov
We study global bifurcations in generic 3-parameter families of vector fields on . In the recent article [arXiv:1506.06797], Ilyashenko, Kudryashov, and Schurov show that 3-pa…
Global bifurcations in generic one-parameter families with a parabolic cycle on
Nataliya Goncharuk, Yulij Ilyashenko, Nikita Solodovnikov
We classify global bifurcations in generic one-parameter local families of \vfs on with a parabolic cycle. The classification is quite different from the classical results pr…
Duck factory on the two-torus: multiple canard cycles without geometric constraints
Ilya Schurov, Nikita Solodovnikov
Slow-fast systems on the two-torus are studied. As it was shown before, canard cycles are generic in such systems, which is in drastic contrast with the planar case. It is known th…