On the connection between global centers and global injectivity in the plane
Dynamical Systems
2017-06-09 v1
Abstract
In this note we present a generalization of a result of Sabatini relating global injectivity and global centers. The shape of the image of the map is taking into account. Our proofs do not use Hadamard's theorem.
Keywords
Cite
@article{arxiv.1706.02643,
title = {On the connection between global centers and global injectivity in the plane},
author = {Francisco Braun and Jaume Llibre},
journal= {arXiv preprint arXiv:1706.02643},
year = {2017}
}