Dynamical Analysis and Microcontroller Implementation of Linear Resistor-Capacitor Shunted Josephson Junction Model

Theoretical analysis and microcontroller implementation of linear resistive-capacitive shunted Josephson junction (LRCSJJ) model are investigated in this paper. The rate-equations describing the LRCSJJ model has two or no equilibrium points relying on the external direct current (DC). One of the equ...

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Bibliographic Details
Published inChaos theory and applications Vol. 3; no. 2; pp. 55 - 58
Main Authors DİANORRÉ, Tokoue Ngatcha, ALHADJİ, Abba Oum, KEMNANG TSAFACK, Alex Stéphane, KİNGNİ, Sifeu T.
Format Journal Article
LanguageEnglish
Published Akif AKGUL 01.11.2021
Subjects
chaos
excitable mode
hysteresis loop
josephson junction
microcontroller implementation
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Summary:Theoretical analysis and microcontroller implementation of linear resistive-capacitive shunted Josephson junction (LRCSJJ) model are investigated in this paper. The rate-equations describing the LRCSJJ model has two or no equilibrium points relying on the external direct current (DC). One of the equilibrium points is a stable node and the other one is a saddle node. The hysteresis loop of current-voltage characteristics increases with the increasing of the capacitance of Josephson junction (JJ). Excitable mode, limit cycle, periodic and chaotic behaviors are found in LRCSJJ model with external alternative current thanks to the two modulation parameters largest Lyapunov exponents (LLE) diagram. LRCSJJ model exhibits two different shapes of chaotic attractors by varying the modulation amplitude. Finally, the existence of chaotic behaviors is confirmed by microcontroller results obtained from the microcontroller implementation of LRCSJJ model.
ISSN:2687-4539
2687-4539
DOI:10.51537/chaos.946929