Emergence of macroscopic chimera states in multilayer multiplex network

摘要

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