  We investigate the significance of nonisochronicity parameter in a network of
nonlocally coupled Stuart-Landau oscillators with symmetry breaking form. We
observe that the presence of nonisochronicity parameter leads to structural
changes in the chimera death region while varying the strength of the
interaction. This gives rise to the existence of different types of chimera
death states such as multi-chimera death state, type-I periodic chimera death
(PCD) state and, type-II periodic chimera death (PCD) state. We also find that
the number of periodic domains in both the types of PCD states exponentially
decreases with an increase of coupling range and obeys a power law under
nonlocal coupling. Additionally, we also analyze the structural changes of
chimera death states by reducing the system of dynamical equations to a phase
model through the phase approximation. We also briefly study the role of
nonisochronicity parameter on chimera states, where the existence of
multi-chimera state with respect to the coupling range is pointed out.
Moreover, we also analyze the robustness of the chimera death state to
perturbations in the natural frequencies of the oscillators.
