Abstract
We study the dynamical systems consisting of the set of 5-adic integers (Formula presented.) and polynomial maps from (Formula presented.) into itself. A polynomial map decomposes the set (Formula presented.) into minimal components, which is usually countably infinite. We characterize the polynomials in terms of coefficients which has the only one minimal components, that is, the whole set (Formula presented.) is the minimal component under the polynomials.
| Original language | English |
|---|---|
| Journal | Dynamical Systems |
| DOIs | |
| Publication status | Accepted/In press - 2020 |
Keywords
- full-cycle
- minimal component
- minimality condition
- p-adic dynamical system
- p-adic polynomial
ASJC Scopus subject areas
- Mathematics(all)
- Computer Science Applications
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Cite this
Kim, D., Kwon, Y., & Song, K. (Accepted/In press). Minimality of 5-adic polynomial dynamics. Dynamical Systems. https://doi.org/10.1080/14689367.2020.1748573