Resonant Phenomenon in a Stochastic Delayed Bistable Chemical System



Document title: Resonant Phenomenon in a Stochastic Delayed Bistable Chemical System
Journal: Brazilian journal of physics
Database: PERIÓDICA
System number: 000382340
ISSN: 0103-9733
Authors: 1
2
Institutions: 1Yan-an Hospital of Kunming City, Department of Obstetrics, Kunming, Yunnan. China
2Yunnan University, Department of Physics, Kunming, Yunnan. China
Year:
Season: Jun
Volumen: 45
Number: 3
Pages: 259-268
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental
English abstract t In this paper, the resonant phenomenon for a bistable chemical system in the presence of noises and delayed feedback is investigated. The signal-to-noise ratio (SNR) is calculated when periodic signal is introduced additively (or multiplicatively). The impacts of the parameter μ of the reaction, time delay τ , strength K of the feedback loop, multiplicative (D) and additive (Q) noise strengths and cross-correlation strength λ between two noises on the SNR are discussed. When the periodic signal is introduced additively, our results show (i) the SNR as a function of the parameter μ exhibits a maximum, the existence of the maximum is a characteristic of the parametric resonance (PR) phenomenon; (ii) the SNR as a function of D exhibits only a maximum, however, for the case of SNR as a function of Q exhibits not only a maximum, but also a minimum. The existence of the maximum and minimum in the SNR is the identifying characteristics of the stochastic resonance (SR) and reverse-resonance (RR); and (iii) the increases of τ , K and λ enhance the SR and weaken the RR. Finally, we compare the resonant phenomenon for the additive periodic signal with that for multiplicative one in the chemical system
Disciplines: Física y astronomía
Keyword: Termodinámica y física estadística,
Sistemas químicos,
Fenómenos de resonancia,
Ruido
Keyword: Physics and astronomy,
Thermodynamics and statistical physics,
Chemical systems,
Resonant phenomena,
Noise
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