Stochastic resonance in a fractal dimensional bistable system

被引:5
|
作者
Chen, R. Y. [1 ]
Nie, L. R. [1 ]
机构
[1] Kunming Univ Sci & Technol, Fac Sci, Kunming 650500, Yunnan, Peoples R China
关键词
Bistable system; Fractal dimensionality; Noises; Stochastic resonance; NOISE; FLUCTUATIONS; EXCITONS; DRIVEN; MODEL;
D O I
10.1007/s12648-017-1003-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A fractal dimensional bistable system driven by multiplicative and additive noises and a periodic signal is investigated. We have derived analytically the fractal Fokker-Planck equation of the system, and obtained exact expression of its signal-to-noise ratio (SNR). Numerical results indicate that: (1) The curve of the SNR as a function of multiplicative noise intensity D or additive noise intensity Q exhibits a peak in the fractal dimensional system, i.e., a stochastic resonance phenomenon; (2) For the smaller values of D, the SNR first decreases then increases with increment of dimensionality a. At the integer dimension of alpha = 1, response of the system to the weak periodic signal displays a minimum. Yet the SNR increases monotonically for the greater values of D. Our further investigation shows that the height of the potential barrier depends on the dimensionality, and influences on the SNR of the system.
引用
收藏
页码:973 / 977
页数:5
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