Oscillation quenching in Stuart-Landau oscillators via dissimilar repulsive coupling

Quenching of oscillations, namely, amplitude and oscillations death, is an emerging phenomenon exhibited by many real-world complex systems. Here, we introduce a scheme that combines dissimilar couplings and repulsive feedback links for the interactions of Stuart-Landau oscillators and analytically derive the conditions required for the amplitude death. Importantly, this analysis is independent of the network size, presents a generalized approach to calculate the stability conditions for various different coupling schemes, and befits nonidentical oscillators as well. Last, we discuss the similarities of the quenching of oscillations phenomenon with the postictal generalized Electroencephalogram (EEG) suppression in convulsive seizures.

Automated summary

Quenching of oscillations, an emerging phenomenon in complex systems, is studied using dissimilar couplings and repulsive feedback links in Stuart-Landau oscillators. The conditions for amplitude death are analytically derived, independent of network size, and applicable to nonidentical oscillators. The similarities between this phenomenon and postictal generalized EEG suppression in convulsive seizures are discussed.