The ω-limit sets of a flow and periodic orbits

Xiaoxia Wang; Denis Blackmore; Chengwen Wang

doi:10.1016/j.chaos.2008.10.004

The ω-limit sets of a flow and periodic orbits

Xiaoxia Wang, Denis Blackmore, Chengwen Wang

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	2690-2696
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	41
Issue number	5
DOIs	https://doi.org/10.1016/j.chaos.2008.10.004
State	Published - 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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10.1016/j.chaos.2008.10.004

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The ω-limit sets of a flow and periodic orbits

Abstract

All Science Journal Classification (ASJC) codes

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