Conditions for topologically semi-conjugacy of the induced systems to the subshift of finite type

Hyonhui Ju, Cholsan Kim, Yunmi Choe and Minghao Chen

Chaos, Solitons & Fractals, 2017, vol. 98, issue C, 1-6

Abstract: Let X be a compact metric space and f: X → X be a continuous map. In [14], it was shown that if a dynamical system (X, f) has strictly coupled-expanding property, then the Hyperspace dynamical system (K(X),f¯), induced by (X, f), has a subsystem which is topologically semi-conjugated to a full shift (Σk, σ).

Keywords: Topological semi-conjugacy; Coupled-expanding map; Hyperspace dynamical system; Fuzzy dynamical system (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:98:y:2017:i:c:p:1-6

DOI: 10.1016/j.chaos.2017.02.012

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