The ω-limit sets of a flow and periodic orbits

Document Type

Article

Publication Date

9-15-2009

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. © 2008 Elsevier Ltd. All rights reserved.

Identifier

67649369567 (Scopus)

Publication Title

Chaos Solitons and Fractals

External Full Text Location

https://doi.org/10.1016/j.chaos.2008.10.004

ISSN

09600779

First Page

2690

Last Page

2696

Issue

5

Volume

41

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