We study the influence of repulsive interactions on an ensemble of coupled excitable rotators. We find that a moderate fraction of repulsive interactions can trigger global firing of the ensemble. The regime of global firing, however, is suppressed in sufficiently large systems if the network of...

We present two collective games with new paradoxical features when they are combined. Besides reproducing the so-called Parrondo effect, where a winning game is obtained from the alternation of two fair games, there also exists a current inversion when varying the mixing probability between the...

We introduce neighborhood models that account for local spatial effects in Galam's model [1] of minority opinion spreading. This model describes the spread of a minority opinion, incorporating absic mechanisms of social inertia, resulting in democratic rejection of social reforms initially...

We write the master equation describing the Parrondo's games as a consistent discretization of the Fokker–Planck equation for an overdamped Brownian particle describing a ratchet. Our expressions, besides giving further insight on the relation between ratchets and Parrondo's games, allow us to...

We compute numerically the distribution of energies Ω(E,N) for the XY-model with short- and long-range interactions. We find that in both cases the distribution can be fitted to the functional form: Ω(E,N)∼exp(Nφ(E,N)), with φ(E,N) an intensive function of the energy.

We describe in detail two numerical simulation methods valid to study systems whose thermostatistics is described by generalized entropies, such as Tsallis. The methods are useful for applications to non-trivial interacting systems with a large number of degrees of freedom, and both short- and...

The Busse–Heikes dynamical model is described in terms of relaxational and non-relaxational dynamics. Within this dynamical picture a diverging alternating period is calculated in a reduced dynamics given by a time-dependent Hamiltonian with decreasing energy. A mean period is calculated which...

We present a study of dynamical scaling and domain growth in a nonpotential system that models Rayleigh–Bénard convection in a rotating cell. In d=1, dynamical scaling holds, but the nonpotential terms modify the characteristic growth law with a crossover from logarithmic to linear in time....