Stochastic resonance of a subdiffusive bistable system driven by Levy noise based on the subordination process

The stochastic resonance of a subdiffusive bistable system driven by Levy noise with an input of sinusoidal signal is studied. We employ the subordination technique to model the subdiffusive system with a time-space-dependent external driving force. It is shown that stochastic resonance is robustly present in the competitive case, but is reduced by the lower subdiffusive index a or the lower superdiffusive index mu. However, when the system parameters are optimally configured, long jumps induced by Levy flights may enhance the stochastic resonance phenomenon, and in a certain range, the subdiffusive effect can be cancelled out by superdiffusive dynamics. The subordination technique provides a possible physical insight into the stochastic resonance phenomenon.