  Coupled limit cycle oscillators with pairwise interactions depict phase
transitions to amplitude or oscillation death. This Letter introduces a scheme
for higher-order interactions, which can not be decomposed into pairwise
interactions. We investigate Stuart Landau oscillators' dynamical evolution
under the impression of such a coupling scheme and discover a particular type
of oscillator death where a coupling-dependent stable death state, away from
the origin, arises in isolation without being accompanied by any other stable
state. We call such a state a Solitary death state. Moreover, the explosive
transition to the death state is preceded by a surge in amplitude, followed by
the revival of the oscillations. Such versatile dynamical states are further
enriched with sensitivity to initial conditions. Finally, we point out the
resemblance of the results with different dynamical states associated with
epileptic seizures.
