Geodesic
A~polynomial $p$-adic dynamical system
Teoretičeskaâ i matematičeskaâ fizika, Tome 170 (2012) no. 3, pp. 448-456

Voir la notice de l'article provenant de la source Math-Net.Ru

We completely describe the Siegel discs and attractors for the $p$-adic dynamical system $f(x)=x^{2n+1}+ax^{n+1}$ on the space of complex $p$-adic numbers.
Keywords: polynomial dynamical system, attractor, Siegel disc, $p$-adic number. 
@article{TMF_2012_170_3_a8,
     author = {F. M. Mukhamedov and U. A. Rozikov},
     title = {A~polynomial $p$-adic dynamical system},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {448--456},
     publisher = {mathdoc},
     volume = {170},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_170_3_a8/}
}
TY  - JOUR
AU  - F. M. Mukhamedov
AU  - U. A. Rozikov
TI  - A~polynomial $p$-adic dynamical system
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2012
SP  - 448
EP  - 456
VL  - 170
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2012_170_3_a8/
LA  - ru
ID  - TMF_2012_170_3_a8
ER  - 
%0 Journal Article
%A F. M. Mukhamedov
%A U. A. Rozikov
%T A~polynomial $p$-adic dynamical system
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2012
%P 448-456
%V 170
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2012_170_3_a8/
%G ru
%F TMF_2012_170_3_a8
F. M. Mukhamedov; U. A. Rozikov. A~polynomial $p$-adic dynamical system. Teoretičeskaâ i matematičeskaâ fizika, Tome 170 (2012) no. 3, pp. 448-456. http://geodesic.mathdoc.fr/item/TMF_2012_170_3_a8/