Stochastic Resonance in the Majority Vote Model on Scale-Free Networks

A. Krawiecki, R.A. Kosiński Faculty of Physics, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland

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Stochastic resonance in the majority vote model on scale-free networks, exposed to a weak periodic signal, is investigated by means of Monte Carlo simulations and theoretically using heterogeneous mean field approximation and linear response theory. In numerical simulations, spectral power amplification shows a maximum as a function of the intensity of internal noise for a broad range of parameters of the model which confirms the occurrence of stochastic resonance. For the model on weakly heterogeneous or heterogeneous uncorrelated scale-free networks in the adiabatic limit of slowly varying periodic signal, a good quantitative agreement is obtained between predictions of the mean field approximation and results of Monte Carlo simulations. For the model on scale-free networks with fully developed heterogeneity, the occurrence of structural stochastic multiresonance characterized by double maxima of the spectral power amplification at different values of the intensity of internal noise is predicted theoretically which is not observed in Monte Carlo simulations.

DOI:10.12693/APhysPolA.138.824 topics: stochastic resonance, complex networks, majority vote model