Enhancing synchrony in asymmetrically weighted multiplex networks

Interlayer antisynchronization in degree-biased duplex networks

“…( 29). Also, L be the zero-row sum intralayer Laplacian matrix [76], defined as L i j = −B i j for i = j and L ii = N j=1 B i j , i = 1, 2, 3, . .…”

Synchronization, routes to synchronization, and collective behaviors in higher-order networks

“…The significance of higher-order interactions has led to many implications across diverse fields [8,9]. In neurology, for instance, the brain's functional connectivity extends beyond individual neuron interactions to larger neuronal ensembles that cooperate and synchronize [10,11]. Similarly, in social science, traditional network models may fail to express the influence of group dynamics or collective behavior on processes like information dissemination [12].…”

Stability of synchronization in simplicial complexes with multiple interaction layers

“…Mobility networks, where different modes of transportation connect individual elements [52], social networks, wherein individuals are interconnected and acquainted by various kinds of relations [53], and neuronal networks, where the neurons communicate through chemical and electrical channels [54], are examples of multilayered systems. Various collective phenomena, such as synchronization [55,56], percolation [57], diffusion [58], epidemic spreading [59], and evolutionary games [60], have been investigated in multilayer frameworks, all revealing a phenomenology that differs signifi-cantly from that observed in monolayer structures. In all these studies, the connections between individual nodes of a layer are considered to be pairwise, schematized by links.…”