$p$-adic dynamical systems of $(3,1)$-rational functions with unique fixed point

A. R. Luna, U. A. Rozikov, I. A. Sattarov

We describe the set of all $(3,1)$-rational functions given on the set of complex $p$-adic field ${\mathbb{C}}_p$ and having a unique fixed point. We study $p$-adic dynamical systems…