Abstract

In this paper, we study the symbolic dynamics equipped with the DGP product “∗” and the shift operator ϕ conjugate to the unimodal mapping f μ : I↦ I over the interval I=[−1,1]. We prove two theorems, and give an explicit formula for the rule of ordering the points on the n-tupling periodic trajectory {ϕ k(σ ∗n(p+1))} in coordinate space with arbitrarily large p and n.

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