Description

• Title:
  Linearization of planar homeomorphisms with a compact attractor
• Creator:
  Gasull, Armengol;
  Groisman, Jorge;
  Mañosas, Francesc
• Description:
  Kerékjártó proved in 1934 that a planar homeomorphism with an asymptotically stable fixed point is conjugated, on its basin of attraction, to one of the maps $z\mapsto z/2$ or $z\mapsto \overline z/2$, depending on whether $f$ preserves or reverses the orientation. We extend this result to planar homeomorphisms with a compact attractor.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.08.20
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 48, No 2 (December 2016); 493 - 506;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.055/9571 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.055/9572
• Subject:
  Kerékjártó's theorem;
  attractor;
  linearization;
  Lyapunov function;
  Primary;
  37C15;
  Secondary;
  37C70;
  54H20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.055
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other