Explosive synchronization through attractive-repulsive coupling

We report the emergence of an explosive synchronization in the ensembles of non-identical coupled oscillators using an attractive and repulsive mean-field coupling. The repulsive mean-field coupling plays an essential role in coupled oscillators to induced first-order transition from incoherent state to a coherent state or vice-versa, which is abrupt as well as irreversible. Such transition depends on the strength of repulsive mean-field coupling and distribution of the intrinsic parameter of oscillators. The existence of explosive synchronization is numerically studied in the parameter plane by using the order parameter for limit-cycle oscillators with two different types of distribution, symmetric and asymmetric, in the intrinsic parameter of oscillators. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This study reports the emergence of explosive synchronization in ensembles of non-identical coupled oscillators using attractive and repulsive mean-field coupling. The role of repulsive mean-field coupling is essential in inducing a first-order transition from incoherent to coherent states, depending on the strength of the coupling and distribution of intrinsic oscillator parameters. The existence of explosive synchronization is numerically studied in the parameter plane using order parameters for limit-cycle oscillators with symmetric and asymmetric distributions in the intrinsic oscillator parameters.