论文标题
通过不同的反击耦合,Stuart-Landau振荡器中的振荡淬灭
Oscillation Quenching in Stuart-Landau Oscillators via Dissimilar Repulsive Coupling
论文作者
论文摘要
振荡,即振幅和振荡死亡,是许多现实世界中复杂系统所表现出的一种新兴现象。在这里,我们介绍了一个方案,该方案结合了与Stuart Landau振荡器相互作用的不同耦合和排斥反馈链接,并通过分析得出振幅死亡所需的条件。重要的是,该分析与网络大小无关,它提出了一种广义方法,可以计算各种不同耦合方案的稳定性条件,以及对非相同振荡器的befits。最后,我们讨论了振荡现象与抽搐性癫痫发作的广泛性脑电图抑制的相似之处。
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 derives 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 for non-identical oscillators as well. Last, we discuss the similarities of the quenching of oscillations phenomenon with the postictal generalized EEG suppression in convulsive seizures.