Dynamic Structures of 2-adic Fibonacci Polynomials

2019/03/13 by Myunghyun Jung, Jung, Myunghyun, Donggyun Kim +3 · 1 citation
Computer Science · Mathematics · #11B39 #11S82 #37P35 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Topological and Geometric Data Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1903.05735

openalex publication_date 2019/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove recurrence relations and modulo periodic properties of multiple derivatives of Fibonacci polynomials. We apply the obtained results to present the dynamic structures of Fibonacci polynomials over the ring of 2-adic integers by investigating minimal decompositions which consist of minimal subsystems and attracting basins.

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