The Discrete Markus-Yamabe Problem for Symmetric Planar Polynomial Maps

Autor:	Alarcón, Begoña, Castro, Sofia B. S. D., Labouriau, Isabel S.
Rok vydání:	2011
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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 Z2 as their group of symmetries. We use this to establish two new tools which give information about the spectrum of a planar polynomial map.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1110.2710 Zobrazit plný text záznamu View this record from Arxiv