Chaos and multistability in Josephson junction spurred by a Wien bridge oscillator: microcontroller implementation, chaotic and coexisting attractors controls

Abstract

Abstract This paper explores the dynamics, microcontroller realization, chaotic, and coexisting attractors controls in the Josephson junction (JJ) spurred by the Wien bridge oscillator (WBO). The JJ spurred by WBO (JJSWBO) is designed by coupling through a gain a resistive-capacitive shunted JJ (RCSJJ) circuit to a WBO. The JJSWBO exhibits bistable periodic, monostable chaotic, and coexisting attractors as well as period-doubling bifurcation to chaos. A microcontroller implementation of JJSWBO is used to establish the dynamical behaviors spotted in JJSWBO during the numerical simulations. Moreover, two configured single controllers are engrossed to subdue the chaotic and coexisting behavior in JJSWBO. Lastly, thanks to the linear augmentation method, the coexisting attractors of JJSWBO are controlled to the desired trajectory.