ON MINIMAL DECOMPOSITION OF p-ADIC POLYNOMIAL DYNAMICAL SYSTEMS

By A. Fan, Lingmin Liao. 2010

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Abstract 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 . It 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.

Subfields: Computational Theory and Mathematics, Mathematical Physics

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