Noise Spectral of GML Noise and GSR Behaviors for FGLE with Random Mass and Random Frequency

Autor: Lini Qiu, Guitian He, Yun Peng, Hui Cheng, Yujie Tang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Fractal and Fractional, Vol 7, Iss 2, p 177 (2023)
Druh dokumentu: article
ISSN: 2504-3110
DOI: 10.3390/fractalfract7020177
Popis: Due to the interest of anomalous diffusion phenomena and their application, our work has widely studied a fractional-order generalized Langevin Equation (FGLE) with a generalized Mittag–Leffler (GML) noise. Significantly, the spectral of GML noise involving three parameters is well addressed. Furthermore, the spectral amplification (SPA) of an FGLE has also been investigated. The generalized stochastic resonance (GSR) phenomenon for FGLE only influenced by GML noise has been found. Furthermore, material GSR for FGLE influenced by two types of noise has been studied. Moreover, it is found that the GSR behaviors of the FGLE could also be induced by the fractional orders of the FGLE.
Databáze: Directory of Open Access Journals
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