Abstract
Abstract 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.
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