Dynamic Structures of 2-adic Fibonacci Polynomials
Number Theory
2019-07-15 v3 Dynamical Systems
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.
Cite
@article{arxiv.1903.05735,
title = {Dynamic Structures of 2-adic Fibonacci Polynomials},
author = {Myunghyun Jung and Donggyun Kim and Kyunghwan Song},
journal= {arXiv preprint arXiv:1903.05735},
year = {2019}
}
Comments
71 pages