Newhouse Laminations
Dynamical Systems
2019-08-20 v3
Abstract
Newhouse laminations occur in unfoldings of rank-one homoclinic tangencies. Namely, in these unfoldings, there exist codimension laminations of maps with infinitely many sinks which move simultaneously along the leaves. As consequence, in the space of real polynomial maps, there are examples of: H\'enon maps, in any dimension, with infinitely many sinks, quadratic H\'enon-like maps with infinitely many sinks and a period doubling attractor, quadratic H\'enon-like maps with infinitely many sinks and a strange attractor, non trivial analytic families of polynomial maps with infinitely many sinks.
Keywords
Cite
@article{arxiv.1811.00617,
title = {Newhouse Laminations},
author = {Michael Benedicks and Marco Martens and Liviana Palmisano},
journal= {arXiv preprint arXiv:1811.00617},
year = {2019}
}