Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896887 | Chaos, Solitons & Fractals | 2006 | 5 Pages |
Abstract
The forcing relations between notions of distributional, Li–Yorke and ω chaos were studied by many authors. In this paper we summarize all known connections between these three different types of chaos and fulfill the results for general compact metric spaces by the construction of a selfmap on a compact perfect set which is ω chaotic, not distributionally chaotic and has zero topological entropy.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Juan Luis García Guirao, Marek Lampart,