Chaotic behavior of the <i>P</i>-adic Potts-Bethe mapping
Farrukh MukhamedovOtabek KhakimovInstitute of Mathematics of Academy of Science of Uzbekistan, 29, Do'rmon Yo'li str., 100125, Tashkent, Uzbekistan
ABI
Abstract
In the previous investigations of the authors the renormalization group method to p-adic models on Cayley trees has been developed. 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).
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