On chaos of a cubic $p$-adic dynamical system

Details On chaos of a cubic $p$-adic dynamical system On chaos of a cubic $p$-adic dynamical system

2006-08-23

arxiv.org/abs/math/0608573v1

In book: Differential Equations, Chaos and Variational Problems, Series: Progress in Nonlinear Differential Equations and Thei

Mathematics

Dynamical Systems

10 pages

Scientific paper

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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