Chaotic behavior of the p-adic potts-bethe mapping

Farrukh Mukhamedov; Otabek Khakimov

doi:10.3934/dcds.2018011

Chaotic behavior of the p-adic potts-bethe mapping

Farrukh Mukhamedov, Otabek Khakimov

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

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 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 language	English
Pages (from-to)	231-245
Number of pages	15
Journal	Discrete and Continuous Dynamical Systems
Volume	38
Issue number	1
DOIs	https://doi.org/10.3934/dcds.2018011
Publication status	Published - Jan 2018

Keywords

Chaos
Ising-potts function
P-adic numbers
Shift

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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KW - Shift

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Chaotic behavior of the p-adic potts-bethe mapping

Abstract

Keywords

ASJC Scopus subject areas

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