Chaotic behavior of the p-adic potts-bethe mapping

Farrukh Mukhamedov, Otabek Khakimov

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


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 as- sociated 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).

Original languageEnglish
Pages (from-to)231-245
Number of pages15
JournalDiscrete and Continuous Dynamical Systems
Issue number1
Publication statusPublished - Jan 2018


  • Chaos
  • Ising-potts function
  • P-adic numbers
  • Shift

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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