Theoretical Analysis of Smooth Nonlinear Resistor-Capacitor Shunted Josephson Junction Circuit and Its Microcontroller-Based Digital Design with Graphic LCD
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Birkhauser
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This 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.
Açıklama
Anahtar Kelimeler
Josephson junction, Cosine interference term, Transcritical bifurcation, Bistable and coexisting attractors, Chaotic and relaxation behaviors, Microcontroller-based design
Kaynak
Circuits Systems and Signal Processing
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
42
Sayı
1
