标题： $P$进制 Potts-Bethe 映射的混沌行为 显示英文标题

标题： Chaotic behavior of the $P$-adic Potts-Bethe mapping

摘要： 在我们之前的调查中，我们开发了重整化群方法用于Cayley树上的$p$-adic模型，此方法与研究与给定模型相关的$p$-adic动力系统密切相关。 在本文中，我们研究了Potts-Bethe映射的混沌行为。 我们指出，在实数情况下（具有严格证明的情况下），类似的结果尚不清楚。 显示英文摘要

摘要： In our previous investigations, we have developed the renormalization group method to $p$-adic models on Cayley trees, this method is closely related to the investigation of $p$-adic dynamical systems associated with a given model. In this paper, we study chaotic behavior of the Potts-Bethe mapping. We point out that a similar kind of result is not known in the case of real numbers (with rigorous proofs).