Numerical simulations are reported on the Bonabeau model on a fully connected graph, where spatial degrees of freedom are absent. The control parameter is the memory factor f. The phase transition is observed at the dispersion of the agents power h<Subscript>i</Subscript>. The critical value f<Subscript>C</Subscript> shows a hysteretic...</subscript></subscript>

We investigate the magnetization reversal processes on classes of complex spin networks with antiferromagnetic interaction along the network links. With slow field ramping the hysteresis loop and avalanches of spin flips occur due to topological inhomogeneity of the network, even without any...

On Archimedean lattices, the Ising model exhibits spontaneous ordering. Three examples of these lattices of the majority-vote model with noise are considered and studied through extensive Monte Carlo simulations. The order/disorder phase transition is observed in this system. The calculated...

We investigate the network model of community by Watts, Dodds and Newman (D.J. Watts et al., Science <Emphasis Type="Bold">296, 1302 (2002)) as a hierarchy of groups, each of 5 individuals. A homophily parameter α controls the probability proportional to exp (-αx) of selection of neighbours against distance x. The...</emphasis>

We investigate a first-order phase transition from a non-magnetic phase to a non-frustrated phase of a two-dimensional triangular lattice with antiferromagnetic bonds. A cellular automaton is defined, which chooses a magnetic state of subsequent lattice sites, where an interphase boundary...

It was demonstrated recently that the line graphs are clustered and assortative. These topological features are known to characterize some social networks [M.E.J. Newman, Y. Park, Why social networks are different from other types of networks, Phys. Rev. E 68 (2003) 036122]; it was argued that...

Simulations of the Simmel effect are performed for agents in a scale-free social network. The social hierarchy of an agent is determined by the degree of his/her node. Particular features, once selected by a highly connected agent, become common in lower classes but soon fall out of fashion and...