https://doi.org/10.1140/epjb/s10051-021-00201-z
Regular Article - Statistical and Nonlinear Physics
Explosive synchronization caused by optimizing synchrony of coupled phase oscillators on complex networks
1
School of Science, Beijing University of Posts and Telecommunications, 100876, Beijing, China
2
School of Science, Jiangxi University of Science and Technology, 341000, Ganzhou, China
Received:
17
May
2021
Accepted:
9
September
2021
Published online:
12
October
2021
We optimize synchrony in networks of heterogeneous phase oscillators. By analyzing the eigenvalues of the Jacobian matrix at full synchronization, two structure indicators related to the critical coupling strength are constructed. When the network structure is fixed, the current scheme of optimization on the frequency picking and allocation converts the synchronization from a second-order continuous to a first-order discontinuous phase transition. When the frequency distribution is deterministic and uniform, the obtained best network structure has a critical coupling strength that approaches the theoretical minimum value. It is found that the requirement for explosive synchronization is consistent with that for optimizing synchrony, which requires that the frequency difference between connected nodes be large, and the distance from the node to the average frequency is proportional to the node degree. The connection between optimization and explosive synchronization deepens our understanding of the latter and provides an effective way of control.
The original online version of this article was revised to correct references 18 and 52.
A correction to this article is available online at https://doi.org/10.1140/epjb/s10051-022-00282-4.
Copyright comment corrected publication 2022
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2022. corrected publication 2022
