An spectral condition for global equivalence of planar maps
Dynamical Systems
2022-03-15 v2 Classical Analysis and ODEs
Abstract
It is demonstrated that a C^1-unipotent map is globally equivalent to the linear translation T(x,y)=(x+1,y), if the map is fixed point free Similarly, it is proved not only that the fixed point set induced by a C^1-unipotent has no isolated elements, but that a unipotent map has no periodic points. The relation with the existence of global attractors in R^2, by using a global bifurcation on unipotent maps, is also studied.
Keywords
Cite
@article{arxiv.1910.08204,
title = {An spectral condition for global equivalence of planar maps},
author = {Roland Rabanal},
journal= {arXiv preprint arXiv:1910.08204},
year = {2022}
}
Comments
To appear in Journal of Difference Equations and Applications