Description

• Title:
  Spectral decomposition and stability of mild expansive systems
• Creator:
  Le, Huy-Tien;
  Lee, Keonhee;
  Nguyen, Ngocthach
• Description:
  In this paper we introduce another type of expansiveness, called mild expansiveness, for homeomorphisms on compact metric spaces, and present a topological version of the spectral decomposition theorem by Smale \cite{Sm} and Bowen \cite{Bo}. Moreover we study the topological stability of mild expansive homeomorphisms, and characterize the mild expansive diffeomorphisms on compact smooth manifolds using the notion of $\Omega$-stability.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.08.29
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 56, No 1 (September 2020); 63 - 81;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.119/26399 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.119/26400
• Subject:
  Mild expansiveness;
  mild topological stability;
  $\Omega$-stability;
  shadowing property;
  spectral decomposition;
  37Bxx;
  37Dxx
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.119
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other