Inter-layer competition in adaptive multiplex network

Pitsik, Elena; Макаров, В. В.; Kirsanov, Daniil V.; Frolov, Nikita S.; Goremyko, Mikhail V.; Li, Xuelong; Wang, Zhen; Hramov, Alexander E.; Boccaletti, Stefano

doi:10.1088/1367-2630/aad00d

Cited by 30 publications

(11 citation statements)

References 33 publications

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“…Synchronization [11][12][13][14][15] is one among them. Different types of synchronization scenarios have been observed in multiplex framework, such as intra-layer synchronization [16,17], inter-layer synchronization [18][19][20], cluster synchronization [21,22], explosive synchronization [23][24][25], and chimera states [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Relay Synchronization in a Weighted Triplex Network

2021

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Relay synchronization in multi-layer networks implies inter-layer synchronization between two indirectly connected layers through a relay layer. In this work, we study the relay synchronization in a three-layer multiplex network by introducing degree-based weighting mechanisms. The mechanism of within-layer connectivity may be hubs-repelling or hubs-attracting whenever low-degree or high-degree nodes receive strong influence. We adjust the remote layers to hubs-attracting coupling, whereas the relay layer may be unweighted, hubs-repelling, or hubs-attracting network. We establish that relay synchronization is improved when the relay layer is hubs-repelling compared to the other cases. We determine analytically necessary stability conditions of relay synchronization state using the master stability function approach. Finally, we explore the relation between synchronization and the topological property of the relay layer. We find that a higher clustering coefficient hinders synchronizability, and vice versa. We also look into the intra-layer synchronization in the proposed weighted triplex network and establish that intra-layer synchronization occurs in a wider range when relay layer is hubs-attracting.

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Section: Introductionmentioning

confidence: 99%

Relay Synchronization in a Weighted Triplex Network

2021

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“…However, the formation rules and characteristics of C2 network topologies were not explored in these studies. In terms of edge generation strategy, Pitsik et al [33] and Xia et al [34], [35] considered evolution of cooperation and competition between layers in multiplex networks; Wang et al [36] probed the evolution of cooperation in the spatial public goods game by introducing the reputation inferring mechanism. These studies provide some effective ideas for exploring the cooperative mechanism of nodes, but they were all still based on the complex network theory, and there are many differences between the network in these studies and C2 networks.…”

Section: Introductionmentioning

confidence: 99%

Multilevel Command and Control Supernetwork Modeling Based on Attribute Synergy Prioritization

Chen

Wang

et al. 2019

IEEE Access

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Current command and control (C2) network models typically do not account for differences in attributes of nodes that belong to the same class; in addition, there is no provision in these models for the adequate description of operational relationships that exist between multiple combat entities with different attributes in real-world scenarios. To address these issues, we propose a method to model multilevel command and control supernetworks (MC 2 S) based on the attribute synergy prioritization and hypergraph theory. First, the characteristics of C2 supernetworks are analyzed to abstract their nodes and hyperedges, based on which, we propose the MC 2 S model, which consists of three layers and five networks. Second, the Term Frequency-Inverse Document Frequency and spatial distance algorithms are used to construct an attribute synergy prioritization-based strategy for the generation of intra-layer MC 2 S hyperedges, while the local-world (LW) selection is used to create an LW model-based method for the generation of inter-layer MC 2 S hyperedges. Through simulation experiments, we show that our model exhibits (approximately) scale-free properties as well as small-world properties, excellent cooperative engagement capabilities, and has a high level of network invulnerability. These findings will serve as a useful reference for the description of complex nodal (edge) relationships in C2 networks, network performance analyses, and deployment of complex combat mission networks. INDEX TERMS Attribute synergy prioritization, command and control, hypergragh, supernetwork modeling.

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“…It was shown how the interaction of two layers can be used to induce and control certain types of dynamical phenomena such as phase cluster states [11], solitary [53] and chimera states [37,52,60,62,76,77], explosive synchronization [98], congestion [85], stochastic and coherence resonance [80,95]. Recently, intimate relations between adaptive and multilayered coupling structures have been elucidated [12,9,10,44,43,67].…”

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confidence: 99%

The Multiplex Decomposition: An Analytic Framework for Multilayer Dynamical Networks

Berner¹,

Mehrmann²,

Schöll³

et al. 2021

SIAM J. Appl. Dyn. Syst.

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Multiplex networks are networks composed of multiple layers such that the number of nodes in all layers is the same and the adjacency matrices between the layers are diagonal. We consider the special class of multiplex networks where the adjacency matrices for each layer are simultaneously triagonalizable. For such networks, we derive the relation between the spectrum of the multiplex network and the eigenvalues of the individual layers. As an application, we propose a generalized master stability approach that allows for a simplified, low-dimensional description of the stability of synchronized solutions in multiplex networks. We illustrate our result with a duplex network of FitzHugh--Nagumo oscillators. In particular, we show how interlayer interaction can lead to stabilization or destabilization of the synchronous state. Finally, we give explicit conditions for the stability of synchronous solutions in duplex networks of linear diffusive systems.

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Inter-layer competition in adaptive multiplex network

Cited by 30 publications

References 33 publications

Relay Synchronization in a Weighted Triplex Network

Relay Synchronization in a Weighted Triplex Network

Multilevel Command and Control Supernetwork Modeling Based on Attribute Synergy Prioritization

The Multiplex Decomposition: An Analytic Framework for Multilayer Dynamical Networks

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