Farrukh Mukhamedov, José F. F. Mendes
Published 2006-08-23Version 1
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.
Comments: 10 pages
Journal: In book: Differential Equations, Chaos and Variational Problems, Series: Progress in Nonlinear Differential Equations and Their Applications, Vol. 75. Staicu, Vasile (Ed.), 2008, pp. 305--316
On the chaotic behavior of a generalized logistic $p$-adic dynamical system
On one polynomial $p$-adic dynamical system
On a non-linear $p$-adic dynamical system
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