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Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart
Massimo Ostilli, Farrukh Mukhamedov, José F. F. Mendes
We consider an Ising competitive model defined over a triangular Husimi tree where loops, responsible for an explicit frustration, are even allowed. After a critical analysis of th…
On chaos of a cubic -adic dynamical system
Farrukh Mukhamedov, José F. F. Mendes
In the paper we describe basin of attraction of the -adic dynamical system . Moreover, we also describe the Siegel discs of the system, since the structure of the…
On the three state Potts model with competing interactions on the Bethe lattice
Nasir Ganikhodjaev, Farrukh Mukhamedov, Jose F. F. Mendes
In the present paper the three state Potts model with competing binary interactions (with couplings and ) on the second order Bethe lattice is considered. The recurrent eq…
k-core (bootstrap) percolation on complex networks: Critical phenomena and nonlocal effects
A. V. Goltsev, S. N. Dorogovtsev, J. F. F. Mendes
We develop the theory of the k-core (bootstrap) percolation on uncorrelated random networks with arbitrary degree distributions. We show that the k-core percolation is an unusual,…