Explosive synchronization in phase-frustrated multiplex networks

Pitambar Khanra, Prosenjit Kundu, Chittaranjan Hens, Pinaki Pal

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43 Scopus citations


We investigate the phenomenon of first-order transition [explosive synchronization (ES)] in an adaptively coupled phase-frustrated bilayer multiplex network. We consider Sakaguchi-Kuramoto dynamics over the top of multiplex networks and we establish that ES can emerge in all layers of a multiplex network even when one of the layers may not exhibit ES in the absence of the interlayer connections. We clearly identify the regions of the parameter space in which the multiplexity wins over the frustration parameter and network structure for the emergence of ES. Based on the mean-field analysis around the coherent state and a perturbative approach around the incoherent state we analytically derive the synchronization transition points (backward and forward) of all layers of the multiplex network as well as its monolayer counterpart satisfying a close agreement with the numerical results.

Original languageEnglish
Article number052315
JournalPhysical Review E
Issue number5
StatePublished - 28 Nov 2018
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2018 American Physical Society.


P.K. acknowledges support from DST, India, under the Department of Science and Technology, INSPIRE scheme (Code: IF140880). C.H. is supported by Department of Science and Technology, INSPIRE faculty grant (Code: IFA17-PH193).

FundersFunder number
Department of Science and Technology, Ministry of Science and Technology, India
Department of Science and Technology, Government of KeralaIF140880, IFA17-PH193


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