Chaotic behavior of the <i>p</i>-adic Potts–Bethe mapping II

Abstract The renormalization group method has been developed to investigate p -adic q -state Potts models on the Cayley tree of order k . This is closely related examination dynamical behavior Potts–Bethe mapping which depends parameters , In Mukhamedov and Khakimov [Chaotic Potts–Behte mapping. Discrete Contin. Dyn. Syst. 38 (2018), 231–245], we have considered case when not divisible by and, under some conditions, it was established that conjugate full shift $\kappa _p$ symbols (here greatest common factor $p-1$ ). present paper a continuation forementioned paper, but here arbitrary. We are able fully describe means Markov partition. Moreover, existence Julia set established, over exhibits chaotic behavior. point out similar result known in real numbers (with rigorous proofs).