Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1889123 | Chaos, Solitons & Fractals | 2009 | 7 Pages |
Abstract
In this paper we discuss the Ï-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 Ï-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.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Xiaoxia Wang, Denis Blackmore, Chengwen Wang,