Cluster synchronization in multiplex networks
Sarika Jalan,Aradhana Singh +1 more
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TLDR
In this paper, the impact of the interaction of nodes in a layer of a multiplex network on the dynamical behavior and cluster synchronization of these nodes in the other layers is studied.Abstract:
We study the impact of the interaction of nodes in a layer of a multiplex network on the dynamical behavior and cluster synchronization of these nodes in the other layers. We find that nodes interactions in one layer affect the cluster synchronizability of the other layer in many different ways. While the multiplexing of a sparse network with the other sparse networks enhances the cluster synchronizability of the individual layer, multiplexing with dense networks suppresses the cluster synchronizability with the network architecture deciding the impact of the enhancement and the suppression. Additionally, at weak couplings the enhancement in the cluster synchronizability, due to multiplexing, remains of the driven type, while for strong couplings the multiplexing may lead to a transition to the self-organized mechanism. The results presented here have applicability in regulating the synchronizability of a particular layer of real-world systems having multiplex architecture.read more
Citations
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Journal ArticleDOI
Chimera states in a multilayer network of coupled and uncoupled neurons.
TL;DR: It is found that between-layer synchronous chimera states can emerge in the coupled layer regardless of the range of electrical synapses, and this results are discussed in the light of neuronal evolution, where the coexistence of coherent and incoherent dynamics during the developmental stage is particularly likely.
Journal ArticleDOI
Chimera states in a multilayer network of coupled and uncoupled neurons
TL;DR: In this article, the authors studied the emergence of chimera states in a multilayer neuronal network, where one layer is composed of coupled and the other layer of uncoupled neurons.
Journal ArticleDOI
Inter-layer synchronization in non-identical multi-layer networks.
Inmaculada Leyva,Inmaculada Leyva,Ricardo Sevilla-Escoboza,Irene Sendiña-Nadal,Irene Sendiña-Nadal,Ricardo Gutiérrez,Javier M. Buldú,Javier M. Buldú,Stefano Boccaletti +8 more
TL;DR: In this article, an approximate analytical treatment for a two-layer multiplex is presented, which results in the introduction of an extra inertial term accounting for structural differences, and identifies a non-trivial relationship connecting the betweenness centrality of missing links and the intra-layer coupling strength.
Journal ArticleDOI
Inter-layer synchronization in multiplex networks of identical layers
Ricardo Sevilla-Escoboza,Irene Sendiña-Nadal,Inmaculada Leyva,Inmaculada Leyva,Ricardo Gutiérrez,Javier M. Buldú,Javier M. Buldú,Stefano Boccaletti +7 more
TL;DR: This work analytically derive the necessary conditions for the existence and stability of inter-layer synchronization, and verifies numerically the analytical predictions in several cases where such a state emerges.
Journal ArticleDOI
Synchronization in a temporal multiplex neuronal hypernetwork
TL;DR: In this article, the synchronization in a multiplex neuronal network is studied, where each layer consists of more than one interaction function, and the authors derive the necessary stability conditions for synchrony using the master stability function approach.
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