Solenoidal attractors with bounded combinatorics are shy
Dynamical Systems
2020-01-22 v5
Abstract
We show that in a generic finite-dimensional real-analytic family of real-analytic multimodal maps, the subset of parameters on which the corresponding map has a solenoidal attractor with bounded combinatorics is a set with zero Lebesgue measure.
Cite
@article{arxiv.1603.06300,
title = {Solenoidal attractors with bounded combinatorics are shy},
author = {Daniel Smania},
journal= {arXiv preprint arXiv:1603.06300},
year = {2020}
}
Comments
66 pages, 3 figures