Stochastic resonance for a Jerk oscillator with a generalized Mittag-Leffler noise

被引：1

作者：

Li, Hailing ^{[1
]}

He, Guitian ^{[1
]}

Peng, Yun ^{[1
]}

Cheng, Hui ^{[1
]}

机构：

[1] Guangxi Univ Nationalities, Sch Math & Phys, Nanning 530006, Peoples R China

来源：

CHINESE JOURNAL OF PHYSICS | 2022年 / 77卷

基金：

中国国家自然科学基金;

关键词：

Jerk oscillator; Stochastic resonance; Mittag-Leffler noise; Trichotomous noise; PERIODIC-SOLUTIONS; RANDOM MASS; HARMONIC-OSCILLATOR; PERTURBATION METHOD; LANGEVIN EQUATION; MULTI-RESONANCE; BISTABLE SYSTEM;

D O I：

10.1016/j.cjph.2021.11.018

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In our work, resonance behaviors in a Jerk oscillator subject to a generalized Mittag-Leffler (GML) noise and a trichotomous multiplicative noise have been studied. One of the important results is that the spectral amplification (SPA) is derived from the generalized Shapiro-Loginov formula. Particularly, it is found that generalized stochastic resonance (GSR) in a Jerk oscillator could be induced by GML noise or trichotomous noise. And behaviors of GSR have been widely investigated. Furthermore, the GSR, bona fide SR, reverse SR phenomenon, decreasing multi-resonance, and increasing multi-resonance have been found. It is found that GML noise can also induce periodic resonance phenomenon.

引用

页码：1997 / 2013

页数：17

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