The ω-limit sets of a flow and periodic orbits

Xiaoxia Wang, Denis Blackmore, Chengwen Wang

Research output: Contribution to journalArticlepeer-review


In this paper we discuss the ω-limit sets of a flow using the Conley theory, chain recurrence and Morse decompositions. Our results generalize and improve the related result in [Schropp J. A reduction principle for ω-limit sets. Z Angew Math Meth 1996;76(6):349-56], and we also show how they can be used as a basis for some new criteria for the existence of periodic orbits.

Original languageEnglish (US)
Pages (from-to)2690-2696
Number of pages7
JournalChaos, Solitons and Fractals
Issue number5
StatePublished - Sep 15 2009

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • General Mathematics
  • General Physics and Astronomy
  • Applied Mathematics


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