$p$-adic $(2,1)$-rational dynamical systems

S. Albeverio, U. A. Rozikov, I. A. Sattarov

We investigate the trajectory of an arbitrary $(2,1)$-rational $p$-adic dynamical system in a complex $p$-adic field $\C_p$. (i) In the case where there is no fixed point we show t…