Analysis and microcontroller implementation of Josephson junction driven by Wien bridge circuit

Abstract

This paper recounts the dynamical investigations and microcontroller validation of Josephson junction (JJ) driven by Wien bridge circuit (WBC). Relying on the stability analysis of two equilibrium points found in JJ driven by WBC (JJDWBC), it is revealed that one equilibrium point is unconditionally stable while the other equilibrium point is unstable. The JJDWBC exhibits reverse period-doubling bifurcation, periodic attractors, period-doubling bifurcation, bistable chaotic attractors, and different presentations of monostable chaotic attractors. Partial and total amplitude controls are achieved by adding two controller parameters into the rate equations of JJDWBC. Finally, the microcontroller implementation is used to validate the dynamical behaviors found in JJDWBC.

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

“…The JJSWBO exhibits bistable periodic, monostable chaotic, and coexisting attractors as well as period-doubling bifurcation to chaos. These dynamics are similar to those presented by Sriram et al [50] who reported period-doubling bifurcation, periodic attractors, period-doubling bifurcation, bistable chaotic attractors, and different presentations of monostable chaotic attractors in JJ-driven by WBO. In this like, they failed to report coexisting characteristics in their investigations.…”

Pseudo random number generator based on vertical-cavity surface-emitting lasers under current modulation embedded in microcontroller

“…To prove the practical feasibility and validate the dynamical behavior found in the previous subsection, a microcontroller implementation of VCSELCM whose description is given by system (1) is designed and tested in this subsection. The microcontroller implementation of some dynamical systems can be found in [30][31][32][33]. The experimentation platform of figure 6 consists of an Arduino Mega 2560 board building up the system, a two R/ 2R resistors system operating as DACs and an Arduino Uno board coupled to a computer for signal acquisition and display.…”