On chaos of a cubic p-adic dynamical system

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Abstract

In the paper we describe basin of attraction of the p-adic dynamical system f(x) = x 3 + ax 2. 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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Mukhamedov, F., & Mendes, J. F. F. (2008). On chaos of a cubic p-adic dynamical system. In Progress in Nonlinear Differential Equations and Their Application (Vol. 75, pp. 305–315). Springer US. https://doi.org/10.1007/978-3-7643-8482-1_24

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