Description

• Title:
  Isolated sets, catenary Lyapunov functions and expansive systems
• Creator:
  Artigue, Alfonso
• Description:
  It is a paper about models for isolated sets and the construction of special hyperbolic Lyapunov functions. We prove that after a suitable surgery every isolated set is the intersection of an attractor and a repeller. We give linear models for attractors and repellers. With these tools we construct hyperbolic Lyapunov functions and metrics around an isolated set whose values along the orbits are catenary curves. Applications are given to expansive flows and homeomorphisms, obtaining, among other things, a hyperbolic metric on local cross sections for an arbitrary expansive flow on a compact metric space.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.10.17
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 49, No 1 (March 2017); 21 - 50;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.067/10145 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.067/10146
• Subject:
  Isolated set;
  Lyapunov function;
  expansive homeomorphism;
  expansive flow;
  hyperbolic metric;
  Primary;
  37B25;
  Secondary;
  37B35
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.067
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other