We study the dynamical systems consisting of the set of 5-adic integers and polynomial maps from into itself. A polynomial map decomposes the set 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 is the minimal component under the polynomials.

中文翻译：

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5-adic 多项式动力学的最小值

我们研究了由一组 5-adic 整数和多项式映射组成的动态系统。多项式映射将集合分解为最小分量，通常是可数无限的。我们用系数来刻画多项式，系数只有一个极小分量，即整个集合是多项式下的极小分量。