Global bifurcations in generic one-parameter families with a parabolic cycle on $S^2$. (arXiv:1707.09779v2 [math.DS] UPDATED)
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 presented in monographs on the bifurcation theory.
As a by product we prove that generic families described above are structurally
stable.查看全文