Bohr chaoticity of number-conserving shifts

Chih-Hung Chang and Yu-Hao Liang

Chaos, Solitons & Fractals, 2024, vol. 187, issue C

Abstract: Let X be a compact metric space and T:X→X be a continuous transformation. A dynamical system (X,T) is called Bohr chaotic if for each weight sequence (wn)∈ℓ∞(N,R) there are f∈C(X) and x∈X such that (wn) is orthogonal to {f∘Tn(x)}. In this paper, we demonstrate that a number-conserving shift X is either finite or Bohr chaotic, uncovering the relationship between the topological behavior and the coefficients of X. Furthermore, a number-conserving shift is consisting of periodic points whenever it is finite.

Keywords: Number conserving; Shift of finite type; Periodic points (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:187:y:2024:i:c:s0960077924009718

DOI: 10.1016/j.chaos.2024.115419

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