Dynamics of Chebyshev polynomials on ℤ₂

2015/11/11 by Shilei Fan, Fan, Shilei, Lingmin Liao +1
Mathematics · #11S82 #37B05 (Secondary) #37P05 (Primary) #Advanced Algebra and Geometry #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #advanced mathematical theories #math.DS #msc:11S82 #msc:37B05 #msc:37P05

paper · pdf · doi:10.48550/arxiv.1511.03529

10 pages

openalex publication_date 2015/11/11 · arxiv created 2015/12/28 · arxiv updated 2015/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The dynamical structure of Chebyshev polynomials on ℤ₂, the ring of 2-adic integers, is fully described by showing all its minimal subsystems and their attracting basins.

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