Extreme events in a network of heterogeneous Josephson junctions

Abstract

We report rare and recurrent large spiking events in a heterogeneous network of superconducting Josephson junctions (JJ) connected through a resistive load and driven by a radio-frequency (rf) current in addition to a constant bias. The intermittent large spiking events show characteristic features of extreme events (EE) since they are larger than a statistically defined significant height. Under the influence of repulsive interactions and an impact of heterogeneity of damping parameters, the network splits into three sub-groups of junctions, one in incoherent rotational, another in coherent librational motion and a third sub-group originating EE. We are able to scan the whole population of junctions with their distinctive individual dynamical features either in EE mode or non-EE mode in parameter space. EE migrates spatially from one to another sub-group of junctions depending upon the repulsive strength and the damping parameter. For a weak repulsive coupling, all the junctions originate frequent large spiking events, in rotational motion when the average inter-spike-interval (ISI) is small, but it increases exponentially with repulsive interaction; it largely deviates from its exponential growth at a break point where EE triggers in a sub-group of junctions. The probability density of inter-event-intervals (IEI) in the subgroup exhibits a Poisson distribution. EE originates via bubbling instability of in-phase synchronization.

References in corpus (11)

• Predictability and suppression of extreme events in complex systems
• Extreme events in excitable systems and mechanisms of their generation
• Chimeralike states in a network of oscillators under attractive and repulsive global coupling
• Route to extreme events in excitable systems
• Extreme intensity pulses in a semiconductor laser with a short external cavity
• Extreme events in Fitzhugh-Nagumo oscillators coupled with two time delays
• Dynamical indicators for the prediction of bursting phenomena in high-dimensional systems
• Intermittent large deviation of chaotic trajectory in Ikeda map: Signature of extreme events
• Bursting dynamics in a population of oscillatory and excitable Josephson junction
• Coherent libration to coherent rotational dynamics via chimeralike states and clustering in Josephson Junction array
• Suppression of deterministic and stochastic extreme desynchronization events using anticipated synchronization

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