ON MINIMAL DECOMPOSITION OF p-ADIC POLYNOMIAL DYNAMICAL SYSTEMS
ON MINIMAL DECOMPOSITION OF p-ADIC POLYNOMIAL DYNAMICAL SYSTEMS
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DOI：
10.1016/j.aim.2011.06.032
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发表时间：
2010-10
影响因子：
1.7
通讯作者：
A. Fan;Lingmin Liao
中科院分区：
文献类型：
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作者：
A. Fan;Lingmin Liao
将系数在 p 进数环 Zpi 中的 ⩾2 次多项式作为 Zp 上的动力系统进行研究。证明了这种系统的动力学行为完全由其最小子系统描述。对于 Z2 上的任意二次多项式，我们展示其所有最小子系统。
A polynomial of degree ⩾2 with coefficients in the ring of p-adic numbers Zpis studied as a dynamical system on Zp. It is proved that the dynamical behavior of such a system is totally described by its minimal subsystems. For an arbitrary quadratic polynomial on Z2, we exhibit all its minimal subsystems.