A-coupled-expanding and distributional chaos

Cholsan Kim, Hyonhui Ju, Minghao Chen and Peter Raith

Chaos, Solitons & Fractals, 2015, vol. 77, issue C, 291-295

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 × m irreducible transition matrix.

Keywords: Chaos; Coupled-expanding map; Distributional chaos (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:77:y:2015:i:c:p:291-295

DOI: 10.1016/j.chaos.2015.06.010

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