Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8254859 | Chaos, Solitons & Fractals | 2015 | 5 Pages |
Abstract
The concept of A-coupled-expanding maps is one of the more natural and useful ideas generalized from the horseshoe map which is commonly known as a criterion of chaos. It is well known that distributional chaos is one of the concepts which reflect strong chaotic behavior. In this paper, we focus on the relationship between A-coupled-expanding and distributional chaos. We prove two theorems which give sufficient conditions for a strictly A-coupled-expanding map to be distributionally chaotic in the senses of two kinds, where A is an m à m irreducible transition matrix.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Cholsan Kim, Hyonhui Ju, Minghao Chen, Peter Raith,