Theoretical Analysis of Smooth Nonlinear Resistor-Capacitor Shunted Josephson Junction Circuit and Its Microcontroller-Based Digital Design with Graphic LCD

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dc.authoridCicek, Serdar/0000-0002-8738-3985
dc.contributor.authorRamakrishnan, Balamurali
dc.contributor.authorNgongiah, Isidore Komofor
dc.contributor.authorCicek, Serdar
dc.contributor.authorChamgoue, Andre Cheage
dc.contributor.authorKuiate, Gaetan Fautso
dc.date.accessioned2025-03-17T12:27:40Z
dc.date.available2025-03-17T12:27:40Z
dc.date.issued2023
dc.departmentTarsus Üniversitesi
dc.description.abstractThis paper reports on the theoretical analysis and microcontroller implementation of smooth nonlinear resistor-capacitor shunted Josephson junction (SNRCSJJ) circuit. The smooth nonlinear resistor is described by a cosine interference term. The stability of the equilibrium points obtained from the rate equations describing the SNRCSJJ circuit reveals the existence of saddle node and transcritical bifurcation. The hysteresis loop widths of current-voltage curves increase with the increase in the coherence parameter. Periodic behaviors, relaxation behaviors, chaotic behaviors, bistable periodic attractors, and coexisting attractors are found during the numerical analysis by varying the coherence parameter and modulation parameters of alternative current (AC). In order to use both in real engineering applications and for educational purposes, microcontroller-based digital design with graphic LCD (liquid crystal display) of the SNRCSJJ circuit is designed. The digital design results matched the simulation results.
dc.description.sponsorshipCenter for Nonlinear Systems, Chennai Institute of Technology, India [CIT/CNS/2021/RD/064]
dc.description.sponsorshipThis work is partially funded by the Center for Nonlinear Systems, Chennai Institute of Technology, India, via funding number CIT/CNS/2021/RD/064.
dc.identifier.doi10.1007/s00034-022-02133-0
dc.identifier.endpage62
dc.identifier.issn0278-081X
dc.identifier.issn1531-5878
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85135845047
dc.identifier.scopusqualityQ1
dc.identifier.startpage47
dc.identifier.urihttps://doi.org/10.1007/s00034-022-02133-0
dc.identifier.urihttps://hdl.handle.net/20.500.13099/2382
dc.identifier.volume42
dc.identifier.wosWOS:000840014900002
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Birkhauser
dc.relation.ispartofCircuits Systems and Signal Processing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250316
dc.subjectJosephson junction
dc.subjectCosine interference term
dc.subjectTranscritical bifurcation
dc.subjectBistable and coexisting attractors
dc.subjectChaotic and relaxation behaviors
dc.subjectMicrocontroller-based design
dc.titleTheoretical Analysis of Smooth Nonlinear Resistor-Capacitor Shunted Josephson Junction Circuit and Its Microcontroller-Based Digital Design with Graphic LCD
dc.typeArticle

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