Explosive transitions to synchronization in networks of frequency dipoles

PLoS One. 2022 Sep 20;17(9):e0274807. doi: 10.1371/journal.pone.0274807. eCollection 2022.

Abstract

We reveal that an introduction of frequency-weighted inter-layer coupling term in networks of frequency dipoles can induce explosive synchronization transitions. The reason for explosive synchronization is that the oscillators with synchronization superiority are moderately suppressed. The findings show that a super-linear correlation induces explosive synchronization in networks of frequency dipoles, while a linear or sub-linear correlation excites chimera-like states. Clearly, the synchronization transition mode of networks of frequency dipoles is controlled by the power-law exponent. In addition, by means of the mean-field approximation, we obtain the critical values of the coupling strength within and between layers in two limit cases. The results of theoretical analysis are in good agreement with those of numerical simulation. Compared with the previous models, the model proposed in this paper retains the topological structure of network and the intrinsic properties of oscillators, so it is easy to realize pinning control.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Computer Simulation
  • Explosive Agents*

Substances

  • Explosive Agents

Grants and funding

This work is supported by the National Natural Science Foundation of China under Grant Nos. 61563054 and 10562020, and the Natural Science Foundation of Guangxi under Grant Nos. 2019GXNSFAA245023 and 2019JJA110069. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.