Stochastic resonance in asymmetric bistable coupled networksystems driven by Gaussian colored noise

In this work studied is the synergistic effect of asymmetric bistable coupled network systems under theaction of Gaussian colored noise and periodic signal. The system is a network model consisting of a largenumber of oscillators. The interaction and change between individuals produce complex nonlinear behaviorpatterns. For further research, firstly, the original N-dimensional system is reduced and approximated by usingthe mean field theory, the unified colored noise approximation theory and the equivalent nonlinearizationmethod. Secondly, the Langevin equation of simplified model is obtained through the slaving principle by usingthe two-state model theory to derive the theoretical expression of signal-to-noise ratio. It is found that thesystem produces the phenomenon of scale stochastic resonance. Finally, the effects of Gaussian color noiseparameters, system parameters and periodic signal parameters on the stochastic resonance behavior ofasymmetric coupled network systems are discussed. The results show that the increase of Gaussian colored noisecorrelation time and noise intensity can promote the scale stochastic resonance phenomenon; selectingappropriate coupling coefficient can achieve the optimal stochastic resonance effect. And the stochasticresonance phenomenon of the system driven by the Gaussian colored noise and the Gaussian white noise,respectively, are analyzed and compared with each other. Research result shows that Gaussian colored noise ismore conducive to enhancing stochastic resonance phenomenon