Global bifurcations in generic one-parameter families with a parabolic cycle on $S^2$
Dynamical Systems
2023-12-19 v2
Abstract
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 presented in monographs on the bifurcation theory. As a by product we prove that generic families described above are structurally stable.
Keywords
Cite
@article{arxiv.1707.09779,
title = {Global bifurcations in generic one-parameter families with a parabolic cycle on $S^2$},
author = {Nataliya Goncharuk and Yulij Ilyashenko and Nikita Solodovnikov},
journal= {arXiv preprint arXiv:1707.09779},
year = {2023}
}
Comments
26 pages, 8 figures