Chaotic behavior of the $P$-adic Potts-Bethe mapping
Farrukh MukhamedovDepartment of Mathematical Sciences , College of Science , The United Arab Emirates University , P.O. Box , 15551 , Al Ain , Abu Dhabi , UAEOtabek KhakimovOtabek Khakimov , Institute of Mathematics , National University of Uzbekistan , 29, Do'rmon Yo'li str. , 100125 , Tashkent , Uzbekistan
2016en
ABI
Annotatsiya
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).
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