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On the chaotic behavior of a generalized logistic p-adic dynamical system

Farrukh Mukhamedov, José F. F. Mendes

math.DSarXiv:math/0702697

Abstract

In the paper we describe basin of attraction p-adic dynamical system G(x)=(ax)2(x+1). Moreover, we also describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs.

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