On Spatial Synchronisation as a Manifestation of Irregular Energy Cascades in Continuous Media under the Transition to CriticalityстатьяИсследовательская статья
Статья опубликована в высокорейтинговом журнале
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Аннотация:We investigate the effects of spatial synchronisation occurring in stochastic dynamical systems before extreme events. Unlike the existing studies focused on the mutual coherence of two different time series, we consider multivariate data of the same nature with an arbitrary number of observables, which is typical for problems of continuous media. We show that both Fourier- and wavelet-based coherence analysis methods allow accurate prediction of extreme events independently of the specific nonlinear mechanism(s) driving a complex system to a catastrophe. We also discuss the physical foundations underlying the synchronisation of motion of the system's constituents on the eve of extreme events by relating the different mechanisms of the transition to criticality through synchronisation with irregularities appearing in the spectral energy cascades.