On opinion formation and synchronization in multiplex networks

Bogojeska, Aleksandra; Filiposka, Sonja; Mishkovski, Igor; Kocarev, Ljupčo

doi:10.1109/telfor.2013.6716200

Cited by 12 publications

(10 citation statements)

References 18 publications

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“…Therefore, in this system an interlayer coupling delay does not affect the dynamical features reported above. We suppose that the described phenomena could take place in real-world networks, which are usually studied, in recent times, using the framework of a multilayered model [27][28][29][30][31][32][44][45][46][47].…”

Section: Discussionmentioning

confidence: 99%

“…From the dynamical systems' perspective, the multilayer formulation has been applied to networks whose layers coexist or alternate in time [28]. In both cases, the multilayer formulation allowed synchronization regions that arise as a consequence of the interplay between the layers' topologies and their coupling [29][30][31], and defined a type of synchronization based on the coordination between the layers [32].…”

Section: Introductionmentioning

confidence: 99%

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Excitation and suppression of chimera states by multiplexing

et al. 2016

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We study excitation and suppression of chimera states in an ensemble of nonlocally coupled oscillators arranged in a framework of multiplex network. We consider the homogeneous network (all identical oscillators) with different parametric cases and interlayer heterogeneity by introducing parameter mismatch between the layers. We show the feasibility to suppress chimera states in the multiplex network via moderate interlayer interaction between a layer exhibiting chimera state and other layers which are in a coherent or incoherent state. On the contrary, for larger interlayer coupling, we observe the emergence of identical chimera states in both layers which we call an interlayer chimera state. We map the spatiotemporal behavior in a wide range of parameters, varying interlayer coupling strength and phase lag in two and three multiplexing layers. We also prove the emergence of interlayer chimera states in a multiplex network via evaluation of a continuous model. Furthermore, we consider the two-layered network of Hindmarsh-Rose neurons and reveal that in such a system multiplex interaction between layers is capable of exciting not only the synchronous interlayer chimera state but also nonidentical chimera patterns.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Excitation and suppression of chimera states by multiplexing

et al. 2016

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“…In Ref. [396] the reader can find an interesting study on the Master Stability Function for class III systems [9]. The motivation is to investigate how the topologies of the layers influence the synchronization criteria and rate for the multiplex network.…”

Section: Multiplex Multiplex With Time Delay and Master-slave Configmentioning

confidence: 99%

“…For that purpose, Ref. [396] considers different topologies, such as random (ER), random regular (RR), small-world (SW) and scale-free (SF), and studies a 2-layered multiplex network formed by interconnecting a layer with ER, SW or SF structure with another layer with an RR structure. This choice of the global topology is motivated by its correspondence to the highest synchronizability.…”

Section: Multiplex Multiplex With Time Delay and Master-slave Configmentioning

confidence: 99%

The structure and dynamics of multilayer networks

et al. 2014

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In the past years, network theory has successfully characterized the interaction among the constituents of a variety of complex systems, ranging from biological to technological, and social systems. However, up until recently, attention was almost exclusively given to networks in which all components were treated on equivalent footing, while neglecting all the extra information about the temporal-or context-related properties of the interactions under study. Only in the last years, taking advantage of the enhanced resolution in real data sets, network scientists have directed their interest to the multiplex character of real-world systems, and explicitly considered the time-varying and multilayer nature of networks. We offer here a comprehensive review on both structural and dynamical organization of graphs made of diverse relationships (layers) between its constituents, and cover several relevant issues, from a full redefinition of the basic structural measures, to understanding how the multilayer nature of the network affects processes and dynamics.

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“…Most of these studies have concentrated on the in-vestigation of various structural properties or emergence of spectral properties [15][16][17]. Few works considering dynamical properties of the multiplex networks report that the synchronizability of a multiplex network is maximum for the small-world -random regular topology [18] and multiplexing reduces the rate of the global synchronization [18].…”

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confidence: 99%

Cluster synchronization in multiplex networks

Jalan

Singh

2016

EPL

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We study the impact of interaction of nodes in a layer of a multiplex network on the dynamical behavior and cluster synchronization of these nodes in other layers. We find that nodes interactions in one layer affects the cluster synchronizability of another layer in many different ways. While multiplexing with a sparse network enhances the synchronizability multiplexing with a dense network suppresses the cluster synchronizability with the network architecture deciding the impact of the enhancement and 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. In this Rapid communication, we study dynamical behavior of nodes in a layer upon multiplexing with another layer. Particularly, we investigate the impact of nodes interactions in one layer on the cluster synchronization of the same nodes in the other layer. In a realistic situation, the connection density as well as degree distribution of two layers can be different, for instance in a social system a family network can be denser than a counter friendship network. Similarly, the friendship network can be denser than a corresponding business network. In the present paper, we explore the impact of the network architecture on the cluster synchronizability of another layer. We find that nodes interacting in one layer affect the synchronizability of another layer in many different ways.While multiplexing with sparse networks enhances the cluster synchronizability of a layer, impact of multiplex-

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On opinion formation and synchronization in multiplex networks

Cited by 12 publications

References 18 publications

Excitation and suppression of chimera states by multiplexing

Excitation and suppression of chimera states by multiplexing

The structure and dynamics of multilayer networks

Cluster synchronization in multiplex networks

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