Analysis of cluster explosive synchronization in complex networks

Peng Ji, Thomas K. DM. Peron, Francisco A. Rodrigues, Jürgen Kurths

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

Correlations between intrinsic dynamics and local topology have become a new trend in the study of synchronization in complex networks. In this paper, we investigate in this paradigm the influence of topology on dynamics of networks made up of second-order Kuramoto oscillators. In particular, based on mean-field calculations, we provide a detailed investigation of the recently reported phenomena of cluster explosive synchronization (CES)[Phys. Rev. Lett. 110, 218701 (2013)], analysing the model in scale-free and small-world networks as a function of several topological properties. We show that, in contrast to scale-free networks, the transition to the synchronous state in small-world structures tends to be continuous as the probability of rewiring increases. These results complement the previous findings regarding CES and also fundamentally deepen the understanding of the interplay between topology and dynamics under the constraint of correlating natural frequencies and local structure.
Original languageEnglish
Article number062810
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume90
DOIs
Publication statusPublished - 18 Dec 2014

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Complex Networks
synchronism
Synchronization
Topology
topology
Small-world Network
Small World
Scale-free Networks
Local Structure
Topological Properties
Natural Frequency
Mean Field
Complement
Paradigm
complement
Tend
resonant frequencies
oscillators
trends
Model

Keywords

  • nlin.CD

Cite this

Analysis of cluster explosive synchronization in complex networks. / Ji, Peng; Peron, Thomas K. DM.; Rodrigues, Francisco A.; Kurths, Jürgen.

In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 90, 062810, 18.12.2014.

Research output: Contribution to journalArticle

Ji, Peng ; Peron, Thomas K. DM. ; Rodrigues, Francisco A. ; Kurths, Jürgen. / Analysis of cluster explosive synchronization in complex networks. In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 2014 ; Vol. 90.
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