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arXiv:math/0702697 [math.DS]AbstractReferencesReviewsResources

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

Farrukh Mukhamedov, José F. F. Mendes

Published 2007-02-23Version 1

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.

Comments: 19 pages. J. Differential Equations (2007) (to appear)
Journal: J. Differential Equations, 243 (2007), 125-\^a?"145
Categories: math.DS, math.NT
Subjects: 37E99, 37B25, 54H20, 12J12
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