Stochastic multiresonance for a fractional linear oscillator with time-delayed kernel and quadratic noise

Feng Guo, Xue-Yuan Wang, Cheng-Yin Zhu, Xiao-Feng Cheng, Zheng-Yu Zhang and Xu-Hui Huang

Physica A: Statistical Mechanics and its Applications, 2017, vol. 487, issue C, 205-214

Abstract: The stochastic resonance for a fractional oscillator with time-delayed kernel and quadratic trichotomous noise is investigated. Applying linear system theory and Laplace transform, the system output amplitude (SPA) for the fractional oscillator is obtained. It is found that the SPA is a periodical function of the kernel delayed-time. Stochastic multiplicative phenomenon appears on the SPA versus the driving frequency, versus the noise amplitude, and versus the fractional exponent. The non-monotonous dependence of the SPA on the system parameters is also discussed.

Keywords: Stochastic multiresonance; Fractional linear oscillator; Time-delayed kernel; Quadratic noise (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:487:y:2017:i:c:p:205-214

DOI: 10.1016/j.physa.2017.06.025

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