Robust degenerate unfoldings of cycles and tangencies
Dynamical Systems
2021-02-12 v2
Abstract
We construct open sets of degenerate unfoldings of heterodimensional cycles of any co-index and homoclinic tangencies of arbitrary codimension . These sets are known to be the support of unexpected phenomena in families of diffeomorphisms, such as the Kolmogorov typical co-existence of infinitely many attractors. As a prerequisite we also construct robust homoclinic tangencies of large codimension which cannot be inside a strong partially hyperbolic set.
Keywords
Cite
@article{arxiv.1907.01089,
title = {Robust degenerate unfoldings of cycles and tangencies},
author = {Pablo G. Barrientos and Artem Raibekas},
journal= {arXiv preprint arXiv:1907.01089},
year = {2021}
}