On Dynamical Behavior of the p -adic λ-Ising Model on Cayley Tree

摘要

In the present paper, we continue to study some features of the mixedtype p-adic λ-Ising model which was studied in [3]. In that study, the existenceof the p-adic Gibbs measures and phase transitions were investigatedfor the model on the Cayley tree of order two. In the current paper, westudy the dynamical behavior of the fixed points which have been foundin [3]. As the main result, we proved that the fixed point u0 is an attractorand the other fixed points u1,2 are repellent fixed points for the mixed typep-adic λ-Ising model. In addition, the size of basin of attractor for the fixedpoint u0 is described.