On minimal decomposition of $p$-adic polynomial dynamical systems

Autor:	Ai-Hua, Fan, Liao, Lingmin
Rok vydání:	2010
Předmět:	Mathematics - Dynamical Systems Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	A polynomial of degree $\ge 2$ with coefficients in the ring of $p$-adic numbers $\mathbb{Z}_p$ is studied as a dynamical system on $\mathbb{Z}_p$. It is proved that the dynamical behavior of such a system is totally described by its minimal subsystems. For an arbitrary quadratic polynomial on $\mathbb{Z}_2$, we exhibit all its minimal subsystems. Comment: 27 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1010.5583 Zobrazit plný text záznamu View this record from Arxiv