Mittag-Leffler noise induced stochastic resonance in a generalized Langevin equation with random inherent frequency

Guitian He, Dali Guo, Yan Tian, Tiejun Li and Maokang Luo

Physica A: Statistical Mechanics and its Applications, 2017, vol. 484, issue C, 91-103

Abstract: The generalized stochastic resonance (GSR) and the bona fide stochastic resonance (SR) in a generalized Langevin equation driven by a periodic signal, multiplicative noise and Mittag-Leffler noise are extensively investigated. The expression of the frequency spectrum of the Mittag-Leffler noise is studied. Using the Shapiro–Loginov formula and Laplace transformation technique, the exact expressions of the output amplitude gain and the signal-to-noise ratio are obtained. The simulation results turn out that the output amplitude gain and the signal-to-noise ratio are non-monotonic functions of the characteristics of noise parameters and system parameters. Especially, the influence of the memory exponent and memory time of Mittag-Leffler noise could induce the GSR phenomenon. The influence of the driving frequency could induce the bona fide stochastic resonance. It is found that the system with fractional memory exponent could be more easily induced SR phenomenon than the system with integer memory exponent.

Keywords: Stochastic resonance; Generalized Langevin equation; Mittag-Leffler noise; Signal-to-noise ratio (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:484:y:2017:i:c:p:91-103

DOI: 10.1016/j.physa.2017.04.153

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