Trichotomous Noise Induced Resonance Behavior for a Fractional Oscillator with Random Mass

被引：28

作者：

Zhong, Suchuan ^{[1
]}

Wei, Kun ^{[2
]}

Gao, Shilong ^{[3
]}

Ma, Hong ^{[4
]}

机构：

[1] Sichuan Univ, Coll Aeronaut & Astronaut, Chengdu 610065, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China

[3] Leshan Normal Univ, Coll Math & Informat Sci, Leshan 614000, Peoples R China

[4] Sichuan Univ, Coll Math, Chengdu 610065, Peoples R China

来源：

JOURNAL OF STATISTICAL PHYSICS | 2015年 / 159卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Stochastic resonance; Fractional oscillator; Random mass; Trichotomous noise; STOCHASTIC RESONANCE; HARMONIC-OSCILLATOR; LANGEVIN EQUATION; ANOMALOUS DIFFUSION; FLUCTUATING MASS; TRANSITIONS; FREQUENCY; TRANSPORT; DYNAMICS; FLUIDS;

D O I：

10.1007/s10955-014-1182-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the stochastic resonance (SR) phenomenon in a fractional oscillator with random mass under the external periodic force. The fluctuations of the mass are modeled as a trichotomous noise. Applying the Shapiro-Loginov formula and the Laplace transform technique, we obtain the exact expression of the first moment of the system. The non-monotonic behaviors of the spectral amplification (SPA) versus the driving frequency indicate that the bona fide SR appears. The necessary and sufficient conditions for the emergence of the generalized stochastic resonance phenomena on the noise flatness and on the noise intensity in the particular case of are established. Particularly, the hypersensitive response of the SPA to the noise intensity is found, which is previously reported and believed to be absent in the case of dichotomous noise.

引用

页码：195 / 209

页数：15