16 citations · 16 across the 2 of their papers we have counts for
3 papers
New Numerical Invariants of an Unfolding of a Polycycle "Tears of the Heart"
Yulij Ilyashenko, Stanislav Minkov, Ivan Shilin
In this paper new numerical invariants of structurally unstable vector fields in the plane are found. One of the main tools is an improved asymptotics of sparkling saddle connectio…
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…
Global bifurcations in the two-sphere: a new perspective
Yulij Ilyashenko, Yury Kudryashov, Ilya Schurov
We construct an open set of structurally unstable three parameter families whose weak and so called moderate topological classification defined below has a numerical invariant that…