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We notice signatures of extreme events-like behavior in a laser based Ikedamap. The trajectory of the system occasionally travels a large distance awayfrom the bounded chaotic region, which appears as intermittent spiking eventsin the temporal dynamics. The large spiking events satisfy the conditions ofextreme events as usually observed in dynamical systems. The probabilitydensity function of the large spiking events shows a long-tail distributionconsistent with the characteristics of rare events. The inter-event intervalsobey a Poisson-like distribution. We locate the parameter regions of extremeevents in phase diagrams. Furthermore, we study two Ikeda maps to explore howand when extreme events terminates via mutual interaction. A pure diffusion ofinformation exchange is unable to terminate extreme events where synchronousoccurrence of extreme events is only possible even for large interaction. Onthe other hand, a threshold-activated coupling can terminate extreme eventsabove a critical value of mutual interaction.

Intermittent large deviation of chaotic trajectory in Ikeda map: Signature of extreme events