On the chaotic behavior of cubic p-adic dynamical systems

Abstract

-adic dynamical systems has mainly been developed during the last 15 years [1], [2].Other studies of non-Archimedean dynamics in the neighborhood of a periodic and an almost periodicpoint over global fields using local fields appeared in [3], [4]. In [5], a problem about the completedescription of attractors, Siegel discs of perturbated monomial dynamical systems, was formulated.In [2], certain properties of the perturbated dynamical systems defined by the functions