Analysis of cluster explosive synchronization in complex networks

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

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)


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
Publication statusPublished - 18 Dec 2014

Bibliographical note

P.J. would like to acknowledge support from the China Scholarship Council (CSC) scholarship. T.P. would like to acknowledge FAPESP (No. 2012/22160-7) and IRTG 1740. F.A.R. acknowledges CNPq (Grant No. 305940/2010-4) and FAPESP (Grants No. 2011/50761-2 and No. 2013/26416-9) for financial support. J.K. would like to acknowledge IRTG 1740 (DFG and FAPESP) for the sponsorship provided.


  • nlin.CD


Dive into the research topics of 'Analysis of cluster explosive synchronization in complex networks'. Together they form a unique fingerprint.

Cite this