The ω-limit sets of a flow and periodic orbits

Xiaoxia Wang, Denis Blackmore and Chengwen Wang

Chaos, Solitons & Fractals, 2009, vol. 41, issue 5, 2690-2696

Abstract: 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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:5:p:2690-2696

DOI: 10.1016/j.chaos.2008.10.004

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