Enhanced logical vibrational resonance in a two-well potential system

Gui, Rong; Wang, Yue; Yao, Yuangen; Cheng, Guanghui

doi:10.1016/j.chaos.2020.109952

Cited by 35 publications

(8 citation statements)

References 40 publications

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“…The potential applications of VR have been explored in, for instance, improving energy harvesting from mechanical vibrations [90], energy detectors [91], the detection, transmission and amplification of signals [60,92,93], and the detection of faults in bearings [94–97], as well as in the design of dual input multiple output (DIMO) logic gates and memory devices [83,98–100].…”

Section: Introductionmentioning

confidence: 99%

Vibrational resonances in driven oscillators with position-dependent mass

Roy-Layinde

Vincent

Abolade

et al. 2021

Phil. Trans. R. Soc. A.

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The vibrational resonance (VR) phenomenon has received a great deal of research attention over the two decades since its introduction. The wide range of theoretical and experimental results obtained has, however, been confined to VR in systems with constant mass. We now extend the VR formalism to encompass systems with position-dependent mass (PDM). We consider a generalized classical counterpart of the quantum mechanical nonlinear oscillator with PDM. By developing a theoretical framework for determining the response amplitude of PDM systems, we examine and analyse their VR phenomenona, obtain conditions for the occurrence of resonances, show that the role played by PDM can be both inductive and contributory, and suggest that PDM effects could usefully be explored to maximize the efficiency of devices being operated in VR modes. Our analysis suggests new directions for the investigation of VR in a general class of PDM systems. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 1)’.

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Section: Introductionmentioning

confidence: 99%

Vibrational resonances in driven oscillators with position-dependent mass

Roy-Layinde

Vincent

Abolade

et al. 2021

Phil. Trans. R. Soc. A.

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“…Some of the recent developments of VR and SR are fascinating, and include logical, entropic, anti-and ghost-VR/SR. Moreover, the applications of VR have been gaining momentum in diverse disciplines and a wide range of its occurrences and applications relating to communications systems, signal output identification, filtering, optimization and control, separation and extraction, and a host of advanced and promising technological processes for improved efficiency and operating conditions, have now been reported [1,[16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

“…In parallel with SR , VR has been closely investigated, because in engineering applications, the use of harmonic driving forces is more appropriate and easily achieved, in particular for logical control operations. Harmonic driving forces are, in addition, capable of providing the shorter switching times and broader optimal parameter region that are essential for practical improvement of the robustness and response speed of engineering systems [17]. Since VR was originally proposed two decades ago, numerous scientific publications have appeared about the phenomenon in different scientific contexts, scattered across a wide range of journals.…”

Section: Introductionmentioning

confidence: 99%

Vibrational and stochastic resonances in driven nonlinear systems

Vincent

McClintock

Khovanov

et al. 2021

Phil. Trans. R. Soc. A.

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Nonlinear systems are abundant in nature. Their dynamics have been investigated very extensively, motivated partly by their multidisciplinary applicability, ranging from all branches of physical and mathematical sciences through engineering to the life sciences and medicine. When driven by external forces, nonlinear systems can exhibit a plethora of interesting and important properties—one of the most prominent being that of resonance. In the presence of a second, higher frequency, driving force, whether stochastic or deterministic/periodic, a resonance phenomenon arises that can generally be termed stochastic resonance or vibrational resonance. Operating a system in or out of resonance promises applications in several advanced technologies, such as the creation of novel materials at the nano, micro and macroscales including, but not limited to, materials having photonic band gaps, quantum control of atoms and molecules as well as miniature condensed matter systems. Motivated in part by these potential applications, this 2-part Theme Issue provides a concrete up-to-date overview of vibrational and stochastic resonances in driven nonlinear systems. It assembles state-of-the-art, original contributions on such induced resonances—addressing their analysis, occurrence and applications from either the theoretical, numerical or experimental perspectives, or through combinations of these. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 1)’.

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“…Besides the various types of noises, [14,15] other non-stochastic factors can also induce LSR-like phenomenon. [16][17][18][19][20][21] For example, Gupta and coworkers demonstrated that a bistable system subjected only to completely regular periodic forcing, despite having no stochastic influence, can also produce LSR-like phenomenon, and thus they termed this phenomenon noise-free LSR. [22] Furthermore, the constructive interplay of noise and periodic force can let systems adapt to varying noise level, and thus let systems can robustly operate in high noise conditions.…”

Section: Introductionmentioning

confidence: 99%

Time-varying coupling-induced logical stochastic resonance in a periodically driven coupled bistable system*

Yao

2021

Chinese Phys. B

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Coupling-induced logical stochastic resonance (LSR) can be observed in a noise-driven coupled bistable system where the behaviors of system can be interpreted consistently as a specific logic gate in an appropriate noise level. Here constant coupling is extended to time-varying coupling, and then we investigate the effect of time-varying coupling on LSR in a periodically driven coupled bistable system. When coupling intensity oscillates periodically with the same frequency with periodic force or relatively high frequency, the system successfully yields the desired logic output. When coupling intensity oscillates irregularly with phase disturbance, large phase disturbance reduces the area of optimal parameter region of coupling intensity and response speed of logic devices. Although the system behaves as a desired logic gate when the frequency of time-periodic coupling intensity is precisely equal to that of periodic force, the desired logic gate is not robust against tiny frequency difference and phase disturbance. Therefore, periodic coupling intensity with high frequency ratio is an optimal option to obtain a reliable and robust logic operation.

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Enhanced logical vibrational resonance in a two-well potential system

Cited by 35 publications

References 40 publications

Vibrational resonances in driven oscillators with position-dependent mass

Vibrational resonances in driven oscillators with position-dependent mass

Vibrational and stochastic resonances in driven nonlinear systems

Time-varying coupling-induced logical stochastic resonance in a periodically driven coupled bistable system*

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