关于$p$ -adic多项式动力系统的极小分解
On minimal decomposition of $p$-adic polynomial dynamical systems
摘要：
研究了系数在$p$ -进数环$\mathbb{Z}_p$中的一个次数多项式$\ge 2$作为$\mathbb{Z}_p$上的动力系统.证明了这类系统的动力学行为完全由其极小子系统描述。对于$\mathbb{Z}_2$上的任意二次多项式，我们给出了它的所有极小子系统.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
