  Recently, the explosive phase transitions, such as explosive percolation and
explosive synchronization, have attracted extensive research interest. So far,
most existing works investigate Kuramoto-type models, where only phase
variables are involved. Here, we report the occurrence of explosive oscillation
quenching in a system of coupled Stuart-Landau oscillators that incorporates
both phase and amplitude dynamics. We observe three typical scenarios with
distinct microscopic mechanism of occurrence, i.e., ordinary, hierarchical, and
cluster explosive oscillation death, corresponding to different frequency
distributions of oscillators, respectively. We carry out theoretical analyses
and obtain the backward transition point, which is shown to be independent of
the specific frequency distributions. Numerical results are consistent with the
theoretical prediction.
