Using noise to augment synchronization among oscillators

Abstract Noise is expected to play an important role in the dynamics of analog systems such as coupled oscillators which have recently been explored as a hardware platform for application in computing. In this work, we experimentally investigate the effect of noise on the synchronization of relaxati...

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Autores principales:	Jaykumar Vaidya, Mohammad Khairul Bashar, Nikhil Shukla
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/6f48f0a439c14584b5747dab9921977b
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id	oai:doaj.org-article:6f48f0a439c14584b5747dab9921977b
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spelling	oai:doaj.org-article:6f48f0a439c14584b5747dab9921977b2021-12-02T13:30:11ZUsing noise to augment synchronization among oscillators10.1038/s41598-021-83806-92045-2322https://doaj.org/article/6f48f0a439c14584b5747dab9921977b2021-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-83806-9https://doaj.org/toc/2045-2322Abstract Noise is expected to play an important role in the dynamics of analog systems such as coupled oscillators which have recently been explored as a hardware platform for application in computing. In this work, we experimentally investigate the effect of noise on the synchronization of relaxation oscillators and their computational properties. Specifically, in contrast to its typically expected adverse effect, we first demonstrate that a common white noise input induces frequency locking among uncoupled oscillators. Experiments show that the minimum noise voltage required to induce frequency locking increases linearly with the amplitude of the oscillator output whereas it decreases with increasing number of oscillators. Further, our work reveals that in a coupled system of oscillators—relevant to solving computational problems such as graph coloring, the injection of white noise helps reduce the minimum required capacitive coupling strength. With the injection of noise, the coupled system demonstrates frequency locking along with the desired phase-based computational properties at 5 × lower coupling strength than that required when no external noise is introduced. Consequently, this can reduce the footprint of the coupling element and the corresponding area-intensive coupling architecture. Our work shows that noise can be utilized as an effective knob to optimize the implementation of coupled oscillator-based computing platforms.Jaykumar VaidyaMohammad Khairul BasharNikhil ShuklaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-8 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Jaykumar Vaidya Mohammad Khairul Bashar Nikhil Shukla Using noise to augment synchronization among oscillators
description	Abstract Noise is expected to play an important role in the dynamics of analog systems such as coupled oscillators which have recently been explored as a hardware platform for application in computing. In this work, we experimentally investigate the effect of noise on the synchronization of relaxation oscillators and their computational properties. Specifically, in contrast to its typically expected adverse effect, we first demonstrate that a common white noise input induces frequency locking among uncoupled oscillators. Experiments show that the minimum noise voltage required to induce frequency locking increases linearly with the amplitude of the oscillator output whereas it decreases with increasing number of oscillators. Further, our work reveals that in a coupled system of oscillators—relevant to solving computational problems such as graph coloring, the injection of white noise helps reduce the minimum required capacitive coupling strength. With the injection of noise, the coupled system demonstrates frequency locking along with the desired phase-based computational properties at 5 × lower coupling strength than that required when no external noise is introduced. Consequently, this can reduce the footprint of the coupling element and the corresponding area-intensive coupling architecture. Our work shows that noise can be utilized as an effective knob to optimize the implementation of coupled oscillator-based computing platforms.
format	article
author	Jaykumar Vaidya Mohammad Khairul Bashar Nikhil Shukla
author_facet	Jaykumar Vaidya Mohammad Khairul Bashar Nikhil Shukla
author_sort	Jaykumar Vaidya
title	Using noise to augment synchronization among oscillators
title_short	Using noise to augment synchronization among oscillators
title_full	Using noise to augment synchronization among oscillators
title_fullStr	Using noise to augment synchronization among oscillators
title_full_unstemmed	Using noise to augment synchronization among oscillators
title_sort	using noise to augment synchronization among oscillators
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/6f48f0a439c14584b5747dab9921977b
work_keys_str_mv	AT jaykumarvaidya usingnoisetoaugmentsynchronizationamongoscillators AT mohammadkhairulbashar usingnoisetoaugmentsynchronizationamongoscillators AT nikhilshukla usingnoisetoaugmentsynchronizationamongoscillators
_version_	1718392980387135488

Using noise to augment synchronization among oscillators

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