Josephson junction snap oscillator with megastability: Microcontroller implementation and its applications to secure medical images

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

“…So, the stability of the equilibrium points G 5,6 do not depend on the scaling amplitude σ. Figure 9 depicts the space trajectories of system (7) for different values of the scaling amplitude σ.…”

“…Chaos associated with complex systems in which little variation in commencing conditions becomes magnified as time passes has gained research findings as a consequence of its numerous attention in use including security in networks [1], cryptography [2], and communication [3,4]. The JJ is considered a weak link or tunnel junction in appreciation of the unique excellent complex dynamics it portrays such as chaotic characteristics in external shunted JJ [5], aspects of JJ dynamics and superconducting electronics [6], megastability in JJ oscillators [7], frequency domain, and complex dynamics and synchronization in forced and time delay JJ systems [8,9]. These different characterizations of the junction just naming some have given the junction topical and justified research exploration with extensive applications not limited to network analysis [10], and applications in superfast technological integrations [11,12].…”

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

“…Considering other applications of autonomous chaotic dynamical systems in aspects like cryptography, network security, nanodevices, ultra-swift technological utilization, and protected communication [9][10][11][12], a consequence of the dynamical characteristics they exhibit is topical to the JJ which is trending the world of research in complex systems. The JJ has been observed to integrate and contribute to superconducting electronics with wide complex characteristics in different definitions namely; external shunted JJ, JJ oscillators, frequency regime JJ, time delay JJ, force JJ, JJ neurons, and synchronization aspects of the JJ [13][14][15][16][17], just naming some cases. Nevertheless, peculiar applications linked to the JJ are not limited to fabrications and calibrations of meters and setting standards in voltages and frequencies [17,18], perceiving infinitesimal magnetic field strength through the SQUIDs [19,20], tera-and giga-hertz pulse generators and extreme-frequencies [21], swift switches to the order of picoseconds applicable in contemporary digital electronics [22,23], low dissipative systems [24,25], spread-spectrum and haphazard number generation applications [26,27], metrology [28], and parametric amplifiers [29].…”