Abstract. The stochastic resonance of a subdiffusive bistable system driven by Lévy 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 α or the lower superdiffusive index μ. However, when the system parameters are optimally configured, long jumps induced by Lévy 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.

PACS numbers: 05.04.−a, 02.50.−r

Print publication: Issue 47 (27 November 2009)
Received 1 July 2009, in final form 5 October 2009
Published 6 November 2009