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We report the emergence of stable amplitude chimeras and chimera death in atwo-layer network where one layer has an ensemble of identical nonlinearoscillators interacting directly through local coupling and indirectly throughdynamic agents that form the second layer. The nonlocality in the interactionamong the dynamical agents in the second layer induces different types ofchimera related dynamical states in the first layer. The amplitude chimerasdeveloped in them are found to be extremely stable, while chimera death statesare prevalent for increased coupling strengths. The results presented are for asystem of coupled Stuart-Landau oscillators and can in general representsystems with short-range interactions coupled to another set of systems withlong range interactions. In this case, by tuning the range of interactionsamong the oscillators or the coupling strength between the two types ofsystems, we can control the nature of chimera states and the system can berestored to homogeneous steady states. The dynamic agents interactingnonlocally with long-range interactions can be considered as a dynamicenvironment or medium interacting with the system. We indicate how the secondlayer can act as a reinforcement mechanism on the first layer under variouspossible interactions for desirable effects.

Amplitude chimera and chimera death induced by external dynamical agents