Dynamics of coupled sine–Gordon equations: Inductively stacked long Josephson junctions with heterogeneous drives

The article presents the systematic study of the stacked long Josephson junctions in presence of different magnetic inductances. The coupled sine–Gordon equation along with a phase-shift formation is considered to study localized modes in stacks. The asymptotic analysis is applied to investigate ana...

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Autores principales:	Wajahat Ali Khan, Amir Ali, Wen-Hua Huang, Anwarud Din, Peijiang Liu
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Stacked long Josephson junctions Coupled sine-Gordon equations Asymptotic analysis Multiple scale expansions Localized modes Amplitude equations Physics QC1-999
Acceso en línea:	https://doaj.org/article/4a7917587c5e411199079586d5e0f437
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id	oai:doaj.org-article:4a7917587c5e411199079586d5e0f437
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spelling	oai:doaj.org-article:4a7917587c5e411199079586d5e0f4372021-11-28T04:31:03ZDynamics of coupled sine–Gordon equations: Inductively stacked long Josephson junctions with heterogeneous drives2211-379710.1016/j.rinp.2021.104989https://doaj.org/article/4a7917587c5e411199079586d5e0f4372021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2211379721009955https://doaj.org/toc/2211-3797The article presents the systematic study of the stacked long Josephson junctions in presence of different magnetic inductances. The coupled sine–Gordon equation along with a phase-shift formation is considered to study localized modes in stacks. The asymptotic analysis is applied to investigate analytically the nonlinear amplitude equations by using the spatially continuous and discrete spectrums. It is observed that in the absence of external drives, the system decays exponentially in the case of both strong and weak magnetic inductance, where the synchronized oscillations are obtained. However, in the presence of AC-drive, the system oscillates synchronically and goes to a stable state after a long time. It is revealed that, when the parametric drives are applied, the system decays exponentially in the existence of small driving amplitude. However, when the driving amplitude is large enough, the system oscillates for an infinitely long time.Wajahat Ali KhanAmir AliWen-Hua HuangAnwarud DinPeijiang LiuElsevierarticleStacked long Josephson junctionsCoupled sine-Gordon equationsAsymptotic analysisMultiple scale expansionsLocalized modesAmplitude equationsPhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 104989- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Stacked long Josephson junctions Coupled sine-Gordon equations Asymptotic analysis Multiple scale expansions Localized modes Amplitude equations Physics QC1-999
spellingShingle	Stacked long Josephson junctions Coupled sine-Gordon equations Asymptotic analysis Multiple scale expansions Localized modes Amplitude equations Physics QC1-999 Wajahat Ali Khan Amir Ali Wen-Hua Huang Anwarud Din Peijiang Liu Dynamics of coupled sine–Gordon equations: Inductively stacked long Josephson junctions with heterogeneous drives
description	The article presents the systematic study of the stacked long Josephson junctions in presence of different magnetic inductances. The coupled sine–Gordon equation along with a phase-shift formation is considered to study localized modes in stacks. The asymptotic analysis is applied to investigate analytically the nonlinear amplitude equations by using the spatially continuous and discrete spectrums. It is observed that in the absence of external drives, the system decays exponentially in the case of both strong and weak magnetic inductance, where the synchronized oscillations are obtained. However, in the presence of AC-drive, the system oscillates synchronically and goes to a stable state after a long time. It is revealed that, when the parametric drives are applied, the system decays exponentially in the existence of small driving amplitude. However, when the driving amplitude is large enough, the system oscillates for an infinitely long time.
format	article
author	Wajahat Ali Khan Amir Ali Wen-Hua Huang Anwarud Din Peijiang Liu
author_facet	Wajahat Ali Khan Amir Ali Wen-Hua Huang Anwarud Din Peijiang Liu
author_sort	Wajahat Ali Khan
title	Dynamics of coupled sine–Gordon equations: Inductively stacked long Josephson junctions with heterogeneous drives
title_short	Dynamics of coupled sine–Gordon equations: Inductively stacked long Josephson junctions with heterogeneous drives
title_full	Dynamics of coupled sine–Gordon equations: Inductively stacked long Josephson junctions with heterogeneous drives
title_fullStr	Dynamics of coupled sine–Gordon equations: Inductively stacked long Josephson junctions with heterogeneous drives
title_full_unstemmed	Dynamics of coupled sine–Gordon equations: Inductively stacked long Josephson junctions with heterogeneous drives
title_sort	dynamics of coupled sine–gordon equations: inductively stacked long josephson junctions with heterogeneous drives
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/4a7917587c5e411199079586d5e0f437
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Dynamics of coupled sine–Gordon equations: Inductively stacked long Josephson junctions with heterogeneous drives

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