A Brief Survey of Stochastic Resonance and Its Application to Control

Jerome, Moses M; Ayyagari, Ramakalyan

doi:10.3182/20140313-3-in-3024.00223

Cited by 3 publications

(3 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The article is published with open access at https://www.temjournal.com/ Nowadays, a lot of effort goes into removing noise. Correction codes and optimal filters have been created, the accumulation method is used, the theory of statistical solutions is applied as well, and systems based on discrete and digital signals are designed [1], [2], [3], [4], [5].The presence of noise at the nonlinear systems input that have the effect of the stochastic resonance (SR) enables to stand out a weak signal from a mixture with white noise [6], [7], [8], [9].…”

Section: Introductionmentioning

confidence: 99%

The Calculation of the Stochastic Resonator Output Driven by Signal plus Noise

Kharchenko¹,

Kovacheva²,

Chumakov

2023

TEM Journal

View full text Add to dashboard Cite

This paper investigates the stochastic resonance in nonlinear system driven by an additive signal-noise mixture. No exact analytical solution of the stochastic resonance equation has been found. It is usually solved approximately. In this paper, this equation is solved numerically. The noise dispersion under the stochastic resonance effect is determined. This study has convincingly shown that a weak signal could be amplified due to noise power and the output signal-to-noise ratio has a nonlinear dependence on the noise level. The results are applicable to radars in telecommunications and radio engineering.

show abstract

Section: Introductionmentioning

confidence: 99%

The Calculation of the Stochastic Resonator Output Driven by Signal plus Noise

Kharchenko¹,

Kovacheva²,

Chumakov

2023

TEM Journal

View full text Add to dashboard Cite

show abstract

“…Since then, SR has been found and studied in a myriad of natural and engineered systems and has been thoroughly explored through theory, experiments, and numerical simulations. We report examples from laser systems [6], atomic physics [7], nanostructures [8], optics [9], control theory [10], circuits [11], ecology [12], geosciences [13,14], biology [15], physiology [16], neurosciences [17], and psychology [18], among others. Many valuable reviews of the topic are available [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Stochastic resonance for nonequilibrium systems

Lucarini

2019

Phys. Rev. E

View full text Add to dashboard Cite

Stochastic resonance (SR) is a prominent phenomenon in many natural and engineered noisy systems, whereby the response to a periodic forcing is greatly amplified when the intensity of the noise is tuned to within a specific range of values. We propose here a general mathematical framework based on large deviation theory and, specifically, on the theory of quasipotentials, for describing SR in noisy N-dimensional nonequilibrium systems possessing two metastable states and undergoing a periodically modulated forcing. The drift and the volatility fields of the equations of motion can be fairly general, and the competing attractors of the deterministic dynamics and the edge state living on the basin boundary can, in principle, feature chaotic dynamics. Similarly, the perturbation field of the forcing can be fairly general. Our approach is able to recover as special cases the classical results previously presented in the literature for systems obeying detailed balance and allows for expressing the parameters describing SR and the statistics of residence times in the two-state approximation in terms of the unperturbed drift field, the volatility field, and the perturbation field. We clarify which specific properties of the forcing are relevant for amplifying or suppressing SR in a system and classify forcings according to classes of equivalence. Our results indicate a route for a detailed understanding of SR in rather general systems.

show abstract

“…The first experimental verification of SR was reported by Fauve and Heslot (1983), who applied white noise to a Schmidt trigger and observed an increase in the signal-to-noise ratio (SNR) of the voltage output. Since then, SR has been used to amplify weak periodic signals in fields as diverse as physics (McNamara et al 1988), chemistry (Leonard and Reichl 1994), biology (McDonnell and Abbott 2009), and engineering (Jerome and Ayyagari 2014). A comprehensive review of SR and its applications has been conducted by Gammaitoni et al (1998) and Wellens et al (2003).…”

Section: Stochastic Resonancementioning

confidence: 99%

System identification near a hopf bifurcation via the noise-induced dynamics in the fixed-point regime

Lee¹

View full text Add to dashboard Cite

First and foremost, I would like to express my deepest appreciation to my supervisor, Prof. Larry K.B. Li, for his invaluable guidance and support. I have been very fortunate to have an advisor who patiently taught me how to develop ideas and formulate arguments in a scientific manner. His encouragement has been the greatest contributor to the completion of this thesis.I would also like to extend my sincere gratitude to Prof. Vikrant Gupta at SUSTech for his constructive advice throughout my study. His insightful comments steered me in the right direction. I am also grateful to Prof. Kyutae Kim and his team at KAIST for their kind help and cooperation at the final stage of my research.I have great pleasure in acknowledging Mr. Yuanhang Zhu at Brown University and Dr. Yu Guan at HKUST who carried out all the experiments in Chapters 2 and 3, respectively. This thesis would not have been possible without their help.Most importantly, I am thankful to my family for their incredible support and understanding. I am grateful to my two sets of parents, who have given me wise counsel. I thank my daughter, Yerin, for her ability to make me smile. Above all, I heartily thank my wife Aram for her encouragement and inspiration throughout my study.Last but not least, I would like to thank the Research Grants Council of Hong Kong and LG CNS for their financial and academic support. v

show abstract

A Brief Survey of Stochastic Resonance and Its Application to Control

Cited by 3 publications

References 43 publications

The Calculation of the Stochastic Resonator Output Driven by Signal plus Noise

The Calculation of the Stochastic Resonator Output Driven by Signal plus Noise

Stochastic resonance for nonequilibrium systems

System identification near a hopf bifurcation via the noise-induced dynamics in the fixed-point regime

Contact Info

Product

Resources

About