Formation of phase clusters and chimera states in hierarchical networks of Josephson junctions

Abstract

Abstract We demonstrate regimes such as cluster synchronization and chimera states in a hierarchical network based on Josephson Junctions. We find that the fractal spectrum of possible system frequencies of the system forms a devils staircase. Hierarchical networks have interesting fractal features and could be used for scaling of some properties of fractal networks. In our structure, Josephson Junctions are connected through electric currents in the form of a Cayley tree.