2013/12/16 by Hyonhui Ju, Ju, Hyonhui, Jinhyon Kim +3
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS
paper · pdf · doi:10.48550/arxiv.1312.4846
17 pages, 0 figures
openalex publication_date 2013/12/16 · arxiv created 2014/12/19 · arxiv updated 2014/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we consider Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic dynamical systems including A-coupled expanding systems. We prove that Li-Yorke pairs of A- coupled-expanding system under some conditions have full hausdorff dimension on the invariant set. we generalize the result of [8] on the Hausdorff dimension of Li-Yorke pairs of dynamical systems topologically conjugate to the full shift and having a self-similar invariant set to the case of dynamical system conjugated to some kind of subshifts. And Hausdorff dimension of "chaotic invariant set" for some kind of A-coupled-expanding maps is shown.