论文标题
多层化网络中的爆炸性同步
Explosive Synchronization in Multilayer Dynamically Dissimilar Networks
论文作者
论文摘要
爆炸性同步的现象源自在各种物理和生物系统中普遍存在的某种形式的挫败感引起的小扰动,已显示出导致大脑中慢性疼痛或癫痫发作的力量失败的级联事件。此外,网络提供了一个强大的模型,以了解和预测各种现实世界复杂系统的属性。最近,多层网络已被实现为更好适合的框架,用于表示相同组成部分之间具有多种相互作用的复杂系统。本文表明,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。通过以一个包含两种不同类型的网络库拉莫托振荡器组成的多重网络的示例,代表了两个不同的层,本文试图瞥见机会,而新兴现象多路复用可以诱导,这对于隔离网络是不可能的。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,我们通过合并现实世界的属性来讨论此处考虑的模型的几个可能的扩展。
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.