Lei Zhang et al 2009 J. Phys. A: Math. Theor. 42 475003 doi:10.1088/1751-8113/42/47/475003
Stochastic resonance of a subdiffusive bistable system driven by Lévy noise based on the subordination process
Lei Zhang, Aiguo Song and Jun He
Show affiliationsThe 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
- MSC
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60G35 Applications (signal detection, filtering, etc.) (See also 62M20, 93E10, 93E11, 94Axx)
- Subjects
- Dates
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Issue 47 (27 November 2009)
Received 1 July 2009, in final form 5 October 2009
Published 6 November 2009
A Corrigendum for this article has been published in 2011 J. Phys. A: Math. Theor. 44 089501
A Corrigendum for this article has been published in 2011 J. Phys. A: Math. Theor. 44 089501
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Stochastic resonance of a subdiffusive bistable system driven by Lévy noise based on the subordination process
Lei Zhang et al 2009 J. Phys. A: Math. Theor. 42 475003
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