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
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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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Koʻrsatkichlar — AkademScholar · Tez orada