Stochastic resonance of fractional star-coupled network induced by dichotomous noise
In this paper,we investigate the stochastic resonance of a fractional star-coupled network model constructed by a central particle and multiple auxiliary particles,where the central particle is linked to each auxiliary particle with a coupled force fluctuated by dichotomous noise.We define the mean-field of the coupled particles as the average of trajectories of all auxiliary particles and discuss the statistical characteristic and resonance behavior of the central particle and the mean-field.By using the stochastic averaging method and some transformation techniques,we firstly obtain the analytic expressions for the first moment and ampli-tude of the central particle and mean-field.Then we analyze consistency condition of the trajectories of the cen-tral particle and mean-field as well as synchronization condition of the auxiliary particles.Finally,based on the expressions of steady-state response amplitude of the central particle and mean-field,resonance behavior of the network is numerically studied.It is shown that abundant resonance behaviors,such as"single-peak SR","single-peak and single-valley SR","single-valley and single-peak SR"and"inverse SR"can exhibit for both the central particle and the mean-field,which indicates that the resonance behavior of network are highly de-pendent on the system parameters.Additionally,resonance region of the network is given based on the ex-pressions of steady-state response amplitude of the central particle and mean-field.It is expected that the ob-tained results can pave a way to the control of stochastic resonance of fractional star-coupled networks.
Star-coupled networkStochastic resonanceDichotomous noiseFractional Langevin system
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