Description

• Title:
  Symbolic representations of iterated maps
• Creator:
  Fu, Xin-Chu;
  Lu, Weiping;
  Ashwin, Peter;
  Duan, Janiqiao
• Description:
  This paper presents a general and systematic discussion of various symbolic representations of iterated maps through subshifts. A unified model for all continuous maps on a metric space is given. It is shown that at most the second order representation is enough for a continuous map. By introducing distillations, partial representations of some general continuous maps are obtained. Finally, partitions and representations of a class of discontinuous maps and some examples are discussed.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2001.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 18, No 1 (September 2001); 119 - 147;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2001.027/9939
• Subject:
  Continuous map;
  discontinuous map;
  representation;
  subshift;
  symbolic dynamics;
  37B10;
  37E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2001.027
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other