On minimal decomposition of p-adic polynomial dynamical systems

被引：33

作者：

Fan, Aihua ^{[2
,3
]}

Liao, Lingmin ^{[1
,2
]}

机构：

[1] Univ Paris Est Creteil Val de Marne, CNRS, LAMA UMR 8050, F-94010 Creteil, France

[2] Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China

[3] Univ Picardie Jules Verne, CNRS, LAMFA UMR 6140, F-80039 Amiens 1, France

来源：

ADVANCES IN MATHEMATICS | 2011年 / 228卷 / 04期

关键词：

p-Adic dynamical system; Minimal component; Quadratic polynomial; MAPS; CYCLES;

D O I：

10.1016/j.aim.2011.06.032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A polynomial of degree >= 2 with coefficients in the ring of p-adic numbers Z(p) is studied as a dynamical system on Z(p). is proved that the dynamical behavior of such a system is totally described by its minimal subsystems. For an arbitrary quadratic polynomial on Z(2), we exhibit all its minimal subsystems. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2116 / 2144

页数：29

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