Numerical Exploration of a Network of Nonlocally Coupled Josephson Junction Spurred by Wien Bridge Oscillators

Chaos and Fractals is a peer-reviewed interdisciplinary journal dedicated to advancing the understanding and application of chaos theory and fractal geometry across various scientific disciplines. The journal serves as a nexus for researchers, mathematicians, physicists, engineers, and practitioners to disseminate cutting-edge research findings, innovative theories, and practical applications in the realm of chaos and fractals.

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This paper is devoted to the numerical investigation of the collective dynamics of nonlocallycoupled Josephson junctions (JJ) spurred by Wien bridge oscillators (JJSWBOs). A single JJSWBO displaysmonostable and bistable chaotic characteristics, bistable period-3-oscillations and coexistence between regularand chaotic characteristics. In order to investigate the collective dynamics of the considered network, the localdynamics is set in the bistable regime which includes periodic and chaotic dynamics. The initial conditionsfor the network dynamics are specially prepared such that the networks units are randomly distributed onthese two types of dynamical behaviors. As the value of the coupling strength increases, the dynamics of thenetwork of JJSWBOs undergoes a transition from complete incoherence to coherent travelling waves via achimera state.