The resonant behavior in the oscillator with double fractional-order damping under the action of nonlinear multiplicative noise

Yan Tian, Lin-Feng Zhong, Gui-Tian He, Tao Yu, Mao-Kang Luo and H. Eugene Stanley

Physica A: Statistical Mechanics and its Applications, 2018, vol. 490, issue C, 845-856

Abstract: We study stochastic resonance (SR) in an oscillator with nonlinear noise, fractional-order external damping, and fractional-order intrinsic damping. Using a moment equation, we derive the exact analytical expression of the output amplitude and find that fluctuations in the output amplitude are non-monotonic. Using numerical simulations we verify the accuracy of this analytical result. We find (i) that nonlinear noise plays a key role in system behavior and that the resonance of the output amplitude is diverse when there is nonlinear noise, (ii) that the order of the fractional-order damping strongly impacts resonant intensity and that the impact on resonant intensity of fractional-order external damping is opposite that of fractional-order intrinsic damping, and (iii) that the evolution of the output amplitude versus the frequency of the external periodic force exhibits three behaviors: a resonance with one peak, a resonance with one peak and one valley, and a resonance with one valley.

Keywords: Nonlinear noise; The fractional-order external damping; The fractional-order intrinsic damping; Stochastic resonance (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:490:y:2018:i:c:p:845-856

DOI: 10.1016/j.physa.2017.08.051

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