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- W4200459498 abstract "We present a class of extreme events manifested in dynamical systems involving time-dependent attractive and repulsive couplings. We consider two cases of time-varying coupling strengths -(i) explicit time-dependence (periodically varying) and (ii) implicit time dependence (distance-dependent coupling). In both of these cases, the coupled systems generate quasi-stable equilibrium points, which in turn are responsible for the generation of extreme events. In the explicit time-dependent case, the quasi-stable equilibrium points are periodically created whenever the amplitude of the external force is higher than the threshold value. In the implicit time-dependent case, they exist whenever the distance between the trajectories is below a critical distance. We demonstrate the results with the examples of two, three, and a network of hundred coupled Stuart–Landau oscillators. We also show the prevalence of this phenomenon in other dynamical systems (van der Pol oscillator) and highlight its applications in natural systems." @default.
- W4200459498 created "2021-12-31" @default.
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- W4200459498 date "2022-04-01" @default.
- W4200459498 modified "2023-09-27" @default.
- W4200459498 title "Emergence of extreme events in coupled systems with time-dependent interactions" @default.
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- W4200459498 doi "https://doi.org/10.1016/j.cnsns.2021.106170" @default.
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