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 $S^2$. In the recent article [arXiv:1506.06797], Ilyashenko, Kudryashov, and Schurov show that 3-pa…