Chain transitivity, attractivity, and strong repellors for semidynamical systems

Morris W. Hirsch, Hal Smith, Xiao Qiang Zhao

Research output: Contribution to journalArticle

130 Scopus citations

Abstract

Some properties of internally chain transitive sets for continuous maps in metric spaces are presented. Applications are made to attractivity, convergence, strong repellors, uniform persistence, and permanence. A result of Schreiber on robust permanence is improved.

Original languageEnglish (US)
Pages (from-to)107-131
Number of pages25
JournalJournal of Dynamics and Differential Equations
Volume13
Issue number1
DOIs
StatePublished - Jan 1 2001

Keywords

  • Asymptotic pseudo-orbits
  • Attractors
  • Chain transitive sets
  • Robust permanence
  • Strong repellors
  • Uniform persistence

ASJC Scopus subject areas

  • Analysis

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