Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8254166 | Chaos, Solitons & Fractals | 2018 | 10 Pages |
Abstract
This paper studies distributional chaos in non-autonomous discrete systems generated by given sequences of maps in metric spaces. In the case that the metric space is compact, it is shown that a system is Li-Yorke δ-chaotic if and only if it is distributionally δâ²-chaotic in a sequence; and three criteria of distributional δ-chaos are established, which are caused by topologically weak mixing, asymptotic average shadowing property, and some expanding condition, respectively, where δ and δⲠare positive constants. In a general case, a criterion of distributional chaos in a sequence induced by a Xiong chaotic set is established.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Hua Shao, Yuming Shi, Hao Zhu,