  We report the emergence of stable amplitude chimeras and chimera death in a
two-layer network where one layer has an ensemble of identical nonlinear
oscillators interacting directly through local coupling and indirectly through
dynamic agents that form the second layer. The nonlocality in the interaction
among the dynamical agents in the second layer induces different types of
chimera related dynamical states in the first layer. The amplitude chimeras
developed in them are found to be extremely stable, while chimera death states
are prevalent for increased coupling strengths. The results presented are for a
system of coupled Stuart-Landau oscillators and can in general represent
systems with short-range interactions coupled to another set of systems with
long range interactions. In this case, by tuning the range of interactions
among the oscillators or the coupling strength between the two types of
systems, we can control the nature of chimera states and the system can be
restored to homogeneous steady states. The dynamic agents interacting
nonlocally with long-range interactions can be considered as a dynamic
environment or medium interacting with the system. We indicate how the second
layer can act as a reinforcement mechanism on the first layer under various
possible interactions for desirable effects.
