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Explosive Synchronization in Multilayer Dynamically Dissimilar Networks
Journal of Computational Science ( IF 3.3 ) Pub Date : 2020-06-24 , DOI: 10.1016/j.jocs.2020.101177
Sarika Jalan , Ajay Deep Kachhvah , Hawoong Jeong

The phenomenon of explosive synchronization, which originates from hypersensitivity to small perturbation caused by some form of frustration prevailed in various physical and biological systems, has been shown to lead events of cascading failure of the power grid to chronic pain or epileptic seizure in the brain. Furthermore, networks provide a powerful model to understand and predict the properties of a diverse range of real-world complex systems. Recently, a multilayer network has been realized as a better suited framework for the representation of complex systems having multiple types of interactions among the same set of constituents. This article shows that by tuning the properties of one layer (network) of a multilayer network, one can regulate the dynamical behavior of another layer (network). By taking an example of a multiplex network comprising two different types of networked Kuramoto oscillators representing two different layers, this article attempts to provide a glimpse of opportunities and emerging phenomena multiplexing can induce which is otherwise not possible for a network in isolation. Here we consider explosive synchronization to demonstrate the potential of multilayer networks framework. To the end, we discuss several possible extensions of the model considered here by incorporating real-world properties.



中文翻译:

多层动态异种网络中的爆炸同步

爆炸性同步现象源自对各种物理和生物系统中普遍存在的某种形式的挫折感的过度敏感而引起的对小扰动的超敏性,这种现象已显示出导致电网级联故障导致慢性疼痛或大脑癫痫发作的事件。此外,网络提供了一个强大的模型来理解和预测现实世界中各种复杂系统的特性。近来,已经实现了多层网络作为更合适的框架,用于表示在同一组要素之间具有多种交互类型的复杂系统。本文显示,通过调整多层网络的一层(网络)的属性,可以调节另一层(网络)的动态行为。通过以包括代表两个不同层的两种不同类型的联网的Kuramoto振荡器的多路复用网络为例,本文试图提供机会和多路复用可能引起的新兴现象的概述,否则隔离网络无法实现。在这里,我们考虑爆炸性同步,以证明多层网络框架的潜力。最后,我们将通过结合实际属性来讨论此处考虑的模型的几种可能扩展。在这里,我们考虑爆炸性同步,以证明多层网络框架的潜力。最后,我们将通过结合实际属性来讨论此处考虑的模型的几种可能扩展。在这里,我们考虑爆炸性同步,以证明多层网络框架的潜力。最后,我们将通过结合实际属性来讨论此处考虑的模型的几种可能扩展。

更新日期:2020-06-24
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