Piecewise nonlinear resistor-capacitor shunted josephson junction circuit: dynamical and microcontroller implementation probing

Abstract

Abstract This paper exposes the theoretical and microcontroller implementation probing of the piecewise nonlinear resistor-capacitor shunted Josephson junction circuit (PNRCSJJC). The PNRCSJJC is characterized by no steady state when the applied current is greater than one and exhibits two steady states in which one is a focus and its counterpart a saddle-node for excitation current less than or equal to one with credit to the Routh–Hurwitz criterion. The PNRCSJJC exhibits periodic characteristics, quasi-periodic characteristics, varying structures of chaotic characteristics, and coexisting behaviors which is proved qualitatively by the microcontroller execution method. The polarity of the chaotic signal in the voltage state variable is flexibly altered by varying a constant parameter included in the rate equations of PNRCSJJC.