On chaotic behaviour of the p-adic generalized Ising mapping and its application

DOI10.1080/10236198.2017.1340468zbMath1388.37085arXiv1706.01266OpenAlexW3102145806MaRDI QIDQ4599733

Mutlay Doğan, Hasan Akin, Farrukh Mukhamedov

Publication date: 4 January 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01266

zbMATH Keywords

chaos\(p\)-adic numbers\(p\)-adic dynamical systems

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Difference operators (39A70) Dynamical aspects of statistical mechanics (37A60) Non-Archimedean dynamical systems (11S82) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Formally (p)-adic fields (12J12)

Related Items (6)

Chaos in p-adic Statistical Lattice Models: Potts Model ⋮ Chaotic behavior of the p-adic Potts–Bethe mapping II ⋮ Some non-periodic \(p\)-adic generalized Gibbs measures for the Ising model on a Cayley tree of order \(k\) ⋮ The \(p\)-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures ⋮ Non periodic \(p\)-adic generalized Gibbs measure for Ising model ⋮ On periodic \(p\)-adic generalized Gibbs measures for Ising model on a Cayley tree

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