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Emergence of macroscopic chimera states in multilayer multiplex network

In this paper we study the dynamics of a multi-layer network composed of identical layers of non-locally coupled Kuramoto-Sakaguchi phase oscillators. Throughout the intensive numerical study we consider three-layer multiplex network and reveal conditions for a specific form of multi-layer network behavior, the macroscopic chimera-like state. It represents an excitation of different spatiotemporal patterns in initially identical layers of multiplex network under their interaction. Also, we show that transition to such macroscopic chimera patterns can be achieved not only variation of phase shift, but according to introduction of heterogeneity of network elements.