Complexity of a kind of interval continuous self-map of finite type

Lidong Wang, Zhenyan Chu and Gongfu Liao

Chaos, Solitons & Fractals, 2011, vol. 44, issue 10, 878-882

Abstract: An interval map is called finitely typal, if the restriction of the map to non-wandering set is topologically conjugate with a subshift of finite type. In this paper, we prove that there exists an interval continuous self-map of finite type such that the Hausdorff dimension is an arbitrary number in the interval (0,1), discuss various chaotic properties of the map and the relations between chaotic set and the set of recurrent points.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:44:y:2011:i:10:p:878-882

DOI: 10.1016/j.chaos.2011.07.003

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