Description

• Title:
  Rotation numbers for planar attractors of equivariant homeomorphisms
• Creator:
  Alarcón, Begoña
• Description:
  Given an integer $m> 1$ we consider $\mathbb{Z}_m$-equivariant and orientation preserving homeomorphisms in $\mathbb{R}^2$ with an asymptotically stable fixed point at the origin. We present examples without periodic points and having some complicated dynamical features. The key is a preliminary construction of $\mathbb{Z}_m$-equivariant Denjoy maps of the circle.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2013.04.22
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 42, No 2 (December 2013); 327 - 343;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.039/8341
• Subject:
  Planar embedding;
  symmetry;
  asymptotic stability;
  global attractors;
  Primary 37C75;
  37C80;
  Secondary 37C70;
  34D05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.039
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other