The Impact of Static Disorder on Vibrational Resonance in a Ferroelectric Liquid Crystal

Gosak, Marko; Perc, Matjaž; Kralj, Samo

doi:10.1080/15421406.2011.609343

Cited by 17 publications

(6 citation statements)

References 37 publications

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“…Stochastic resonance (SR), being contrary to conventional approaches of suppressing noise, adds an appropriate amount of noise to a nonlinear system to improve its performance [8] – [32] . SR emerged from the field of climate dynamics [8] , and the topic has flourished in physics [15] – [19] and neuroscience [13] , [14] , [20] . The notion of SR has been widened to include a number of different mechanisms [15] , [17] , [25] , and SR effects have also been demonstrated in various extended systems [9] – [20] , [25] and complex networks [21] – [24] , [27] .…”

Section: Resultsmentioning

confidence: 99%

Fisher Information as a Metric of Locally Optimal Processing and Stochastic Resonance

Duan

Chapeau‐Blondeau²,

Abbott³

2012

PLoS ONE

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The origins of Fisher information are in its use as a performance measure for parametric estimation. We augment this and show that the Fisher information can characterize the performance in several other significant signal processing operations. For processing of a weak signal in additive white noise, we demonstrate that the Fisher information determines (i) the maximum output signal-to-noise ratio for a periodic signal; (ii) the optimum asymptotic efficacy for signal detection; (iii) the best cross-correlation coefficient for signal transmission; and (iv) the minimum mean square error of an unbiased estimator. This unifying picture, via inequalities on the Fisher information, is used to establish conditions where improvement by noise through stochastic resonance is feasible or not.

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Section: Resultsmentioning

confidence: 99%

Fisher Information as a Metric of Locally Optimal Processing and Stochastic Resonance

Duan

Chapeau‐Blondeau²,

Abbott³

2012

PLoS ONE

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“…The approximate expression in Eqn. (30) clearly shows that the contributions of φ to the system's response is non-trivial. Using Eqns.…”

Section: Discussionmentioning

confidence: 99%

Delay-Induced Vibrational Resonance in Rayleigh-Plesset Bubble Oscillator

et al. 2022

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“…More importantly, VR has been realized experimentally in vertical cavity surface emitting lasers and optical systems [12][13][14][15]. These investigations have enriched our understanding of the VR phenomenon, its mechanism, and the roles played by relevant system parameters in inducing or promoting VR, as well as in suggesting potential real-life applications in areas, such as ecological systems [41], liquid crystals [30], neural dynamics [8], energy detectors [69] and energy harvesting from mechanical vibrations [18,19], electronic circuits and logic gates [44,56,82,83], a nano-electromechanical resonator [16], and a thermo-optic optomechanical nanocavity [55].…”

Section: Introductionmentioning

confidence: 97%

Delay-induced vibrational resonance in the Rayleigh–Plesset bubble oscillator

Omoteso

Roy-Layinde

Laoye

et al. 2022

J. Phys. A: Math. Theor.

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We examine the impacts of time-delay and phase shift between two acoustic driving forces on vibrational resonance (VR) phenomena in the oscillations of a spherical gas bubble. Using the approximate method of direct separation of the motions, we obtain the equation of slow motion and the response amplitude, and we validate the theoretical predictions with numerical simulations. We ﬁnd that the response amplitude of the system at the lower frequency varies periodically with respect to the phase shift. When the phase shift consists of an even number of periods, it can be optimized to enhance the system’s response in the relevant parameter space of the high-frequency driving force. In addition to the enhancement of the VR peak by variation of the phase shift, our results show that the time-delay also plays a signiﬁcant role in the bubble’s response to dual-frequency acoustic driving ﬁelds. It and can be exploited either to suppress drastically, or to modulate, the resonance peaks, thereby controlling the resonances. Our analysis shows further that cooperation between the time-delay and the amplitude of the high-frequency component of the acoustic waves can induce multiple resonances. These results could potentially be exploited to control and enhance ultrasonic cleaning processes by varying the time-delay parameter in the presence of phase shifted dual-frequency acoustic waves. Moreover, it could be employed to achieve improved accuracy in ultrasonic biomedical diagnosis and tumour therapy, as well as for targeted delivery of reagents transported within bubbles.

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The Impact of Static Disorder on Vibrational Resonance in a Ferroelectric Liquid Crystal

Cited by 17 publications

References 37 publications

Fisher Information as a Metric of Locally Optimal Processing and Stochastic Resonance

Fisher Information as a Metric of Locally Optimal Processing and Stochastic Resonance

Delay-Induced Vibrational Resonance in Rayleigh-Plesset Bubble Oscillator

Delay-induced vibrational resonance in the Rayleigh–Plesset bubble oscillator

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