论文信息 - The ordering of critical periodic points in coordinate space by symbolic dynamics

The ordering of critical periodic points in coordinate space by symbolic dynamics

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 .

Li-Shi Luo | Shou-Li Peng

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