Abstract
We study the dynamic structures of the monomial xm 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 periodic points, minimal subsystems and attracting basins.
Original language | English |
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Pages (from-to) | 155-183 |
Number of pages | 29 |
Journal | Journal of Number Theory |
Volume | 211 |
DOIs | |
Publication status | Published - 2020 Jun |
Bibliographical note
Publisher Copyright:© 2019 Elsevier Inc.
Keywords
- Minimal decomposition
- p-adic dynamical system
- p-adic monomial
ASJC Scopus subject areas
- Algebra and Number Theory