Inducing and destruction of chimeras and chimera-like states by an external harmonic force

Highlights: • Destruction of chimera states by an external harmonic force is explored. • Inducing stable chimera-like states by external harmonic influence is studied. • Possibility of controlling the chimera-like state topology by varying the parameters of localized influence. - Abstract: We study the phenomena of chimera destruction and inducing of chimera-like states in an ensemble of nonlocally coupled chaotic Rössler oscillators under an external harmonic force. The localized harmonic influence can lead to both destruction and changing of the spatial topology of chimeras. At the same time this influence can cause the emergence of stable chimera-like states (induced chimeras) for the regime of partial coherent chaos. Induced chimeras are also observed for the global influence. We show the possibility of controlling the chimera-like state topology by varying the parameters of localized external harmonic influence.