Title
An eigenvalue condition and the equivalence of two-dimensional maps
Date Issued
01 January 2022
Access level
metadata only access
Resource Type
journal article
Publisher(s)
Taylor and Francis Ltd.
Abstract
The condition on (Formula presented.) -maps of (Formula presented.) into itself is the assumption that their Jacobian eigenvalues are all equal to one (unipotent maps). A unipotent (Formula presented.) -map (Formula presented.) is equivalent to the translation (Formula presented.) if the map is fixed-point-free. It provides a one parameter family of (Formula presented.) -maps (Formula presented.) such that (Formula presented.) is linearly conjugated to G, (Formula presented.) has a global attractor for (Formula presented.) and a global repeller for (Formula presented.).
Start page
578
End page
589
Volume
28
Issue
4
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Subjects
Scopus EID
2-s2.0-85127344897
Source
Journal of Difference Equations and Applications
ISSN of the container
1023-6198
Sponsor(s)
This work was supported by Pontificia Universidad Católica del Perú (pucp-Peru) [grant number dgi: 2018-3-003]. This paper was written while the author served as an Associate Fellow at the Abdus Salam ictp in Italy; we wish to thank the members of the Mathematics Group for their kind hospitality. I am particularly indebted to S. Luzzatto for important comments on an earlier version of this work. Finally, the author wish to express his gratitude to the referees whose comments have been appreciated and incorporated into this work; their criticisms helped us to improved the readability of the paper.
Sources of information:
Directorio de Producción Científica
Scopus