Resonance phenomenon for a nonlinear system with fractional derivative subject to multiplicative and additive noise

Autor:	Jian-wei Wang, Xue-yuan Wang, Xiang-dong Luo, Feng Guo, Ming-wei Qin
Rok vydání:	2021
Předmět:	Statistics and Probability Physics Nonlinear system Harmonic function Stochastic resonance Multiplicative function Mathematical analysis Resonance Condensed Matter Physics Noise (electronics) Multiplicative noise Fractional calculus
Zdroj:	Physica A: Statistical Mechanics and its Applications. 562:125243
ISSN:	0378-4371
Popis:	The stochastic resonance (SR) phenomenon for a nonlinear system with fractional derivative driven by multiplicative and additive noise is investigated. Applying the generalized harmonic function approach and the adiabatic elimination theory, the signal-to-noise ratio (SNR) for the system is obtained. It is found that the SNR manifests SR behavior with the variety of the system parameters, with the variety of the system characteristic frequency and that of the strength of external additive noise. The SNR behaves nonmonotonically with the system fractional exponent.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cd4fe1540cdb2357311647573e87d8ca https://doi.org/10.1016/j.physa.2020.125243 Zobrazit plný text záznamu Full Text from ScienceDirect