The discrete Markus-Yamabe problem for symmetric planar polynomial maps

• Type: Article in International Scientific Journal
• Date: 2012

Authors

Begona Alarcon (Author) Other; Sofia B S D Castro (Author) FEP; Isabel S Labouriau (Author) FCUP

Journal

Title: INDAGATIONES MATHEMATICAE-NEW SERIES

Vol. 23 No. 3

Pages: 603-608

ISSN: 0019-3577

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 1 Citation

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-002-6N3

DOI: 10.1016/j.indag.2012.06.001

Abstract (EN): We probe deeper into the discrete Markus-Yamabe question for polynomial planar maps and into the normal form for those maps which answer this question in the affirmative. Furthermore, in a symmetric context, we show that the only nonlinear equivariant polynomial maps providing an affirmative answer to the discrete Markus-Yamabe question are those possessing Z(2) as their group of symmetries. We use this to establish two new tools which give information about the spectrum of a planar polynomial map.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6