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

Authors : Tokoue Ngatcha DİANORRÉ, Abba Oum ALHADJİ, Alex Stéphane KEMNANG TSAFACK, Sifeu T KİNGNİ

Pages : 55-58

Doi:10.51537/chaos.946929

View : 11 | Download : 8

Publication Date : 2021-11-30

Article Type : Research Paper

Abstract :Theoretical analysis and microcontroller implementation of linear resistive-capacitive shunted Josephson junction insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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.
Keywords : Chaos, Josephson junction, hysteresis loop, excitable mode, Microcontroller implementation