arXiv subjects

Myunghyun Jung

Publications and source records attributed to Myunghyun Jung.

2 recordsLinked to original sources

arXiv2019

Dynamic Structures of Monomials on $p$-adic Integers for Small Primes $p$

We study the dynamic structures of the monomial $x^m$ over the ring of $p$-adic integers for every positive integer $m$ and for primes $p=2,3$ and $5$. The dynamic structures are described by investigating minimal decompositions which consist of minimal subsystems and attracting basins.

math.NT↗

arXiv2019

Dynamic Structures of 2-adic Fibonacci Polynomials

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.

math.NT↗