Stochastic Resonance in a Bacterium Growth System with Time Delay and Colored Noise-Reference-Cited by-同舟云学术

Stochastic Resonance in a Bacterium Growth System with Time Delay and Colored Noise

Published:2015-05-04 Issue:02 Volume:14 Page:1550019
ISSN:0219-4775
Container-title:Fluctuation and Noise Letters
language:en
Short-container-title:Fluct. Noise Lett.

Author:

Li Shenghong¹,Wu Jiancheng¹²

Affiliation:

1. School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003, P. R. China

2. State Key Lab of Mechanics and Control for Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210014, P. R. China

Abstract

The phenomenon of stochastic resonance in a bacterium growth system that is with two different kinds of time delays and is driven by colored noises is investigated. Based on the extended unified colored noise theory and the method of the probability density approximation, the Fokker–Planck equation and the stationary probability density function are derived. Then via the theory of adiabatic limit, the analytical expression of the signal-to-noise ratio (SNR) is obtained. The different effects of the time delays existed in the nonlinear system and the noise correlation times on the stationary probability density and the signal-to-noise rate are discussed respectively. Finally, numerical simulations are offered and are consistent with approximate analytical results.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219477515500194

Reference41 articles.

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4. Reliable Logic Circuit Elements that Exploit Nonlinearity in the Presence of a Noise Floor

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