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.
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