19 citations · 41 across the 5 of their papers we have counts for
5 papers
The Chaotic Properties of the Q-state Potts Model on the Bethe Lattice:Q<2
N. S. Ananikian, S. K. Dallakian, B. Hu
The Q- state Potts model on the Bethe lattice is investigated for Q<2. The magnetization of this model exhibits a complicated behavior including both the period doubling bifurcatio…
Chaos in the Z(2) Gauge Model on a Generalized Bethe Lattice of Plaquettes
N. S. Ananikian, S. K. Dallakian, N. Sh. Izmailian +1
We investigate the Z(2) gauge model on a generalized Bethe lattice with three plaquette representation of the action. We obtain the cascade of phase transitions according to Feigen…
The Phase Structure of Antiferromagnetic Ising Model in the Presence of Frustrations
A. Z. Akheyan, N. S. Ananikian, S. K. Dallakian
The antiferromagnetic Ising model in a magnetic field is considered on the Husimi tree. Using iteration technique we draw the plots of magnetization versus external field for diffe…
Thermodynamc Approach to Three-Site Antiferromagnetic Ising Model in Chaotic Region
N. S. Ananikian, S. K. Dallakian
The chaotic properties of the three-site antiferromagnetic Ising model on Husimi tree are investigated in magnetic field. Macroscopic quantity of three-site antiferromagnetic Ising…
Chaotic Repellers in Antiferromagnetic Ising Model
N. S. Ananikian, S. K. Dallakian, N. Sh. Izmailian +1
For the first time we present the consideration of the antiferromagnetic Ising model in case of fully developed chaos and obtain the exact connection between this model and chaotic…