Abstract
In the present paper, by conducting research on the dynamics of the p-adic generalized Ising mapping corresponding to renormalization group associated with the p-adic Ising-Vannemenus model on a Cayley tree, we have determined the existence of the fixed points of a given function. Simultaneously, the attractors of the dynamical system have been found. We have come to a conclusion that the considered mapping is topologically conjugate to the symbolic shift which implies its chaoticity and as an application, we have established the existence of periodic p-adic Gibbs measures for the p-adic Ising-Vannemenus model.
Original language | English |
---|---|
Pages (from-to) | 1542-1561 |
Number of pages | 20 |
Journal | Journal of Difference Equations and Applications |
Volume | 23 |
Issue number | 9 |
DOIs | |
Publication status | Published - Sept 2 2017 |
Keywords
- chaos
- p-adic dynamical system
- p-adic numbers
- periodic
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Applied Mathematics