Explosive transitions to synchronization in networks of frequency dipoles

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...

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Bibliographic Details
Published in:PloS one 2022-09, Vol.17 (9), p.e0274807
Main Authors: Zhu, Liuhua, Zhu, Shu
Format: Article
Language:English
Subjects:
Analysis
Biology and Life Sciences
Computer and Information Sciences
Computer Simulation
Correlation
Coupling
Dipoles
Explosive Agents
Magnetic dipoles
Mathematical models
Medicine and Health Sciences
Networks
Numerical simulations
Oscillators
Phase transitions
Physical Sciences
Research and Analysis Methods
Simulation
Simulation methods
SONET (Telecommunications)
Synchronism
Synchronization
Theoretical analysis
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Summary: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.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0274807