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

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

2007-02-23

arxiv.org/abs/math/0702697v1

J. Differential Equations, 243 (2007), 125-\^a?"145

Mathematics

Dynamical Systems

19 pages. J. Differential Equations (2007) (to appear)

Scientific paper

10.1016/j.jde.2007.01.014

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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