Cherry flows with non trivial attractors
Dynamical Systems
2018-05-14 v3
Abstract
We provide an example of Cherry flow (i.e. smooth flow on the -dimensional torus with a sink and a saddle) having quasi-minimal set which is an attractor. The first return map for such a flow, constructed also in the paper, is a smooth circle map having a flat interval and a non-trivial wandering interval.
Keywords
Cite
@article{arxiv.1509.05994,
title = {Cherry flows with non trivial attractors},
author = {Liviana Palmisano},
journal= {arXiv preprint arXiv:1509.05994},
year = {2018}
}