CHIMERA STATES IN NETWORKS WITH HIERARCHICAL CONNECTIVITIES
Iryna Omelchenko, Stefan Ulonska, Alexander zur Bonsen, Anna Zakharova, Eckehard Schöll
Chimera states are complex patterns that exhibit a hybrid structure combining coexisting spatial domains of coherent (synchronized) and incoherent (desynchronized) dynamics. Recent studies have demonstrated
the appearance of chimera states in a variety of network topologies and for different types of individual dynamics. We analyse the emergence of chimera states in networks with complex coupling topologies arising
in neuroscience and having hierarchical (quasi-fractal) connectivities. Two cases of individual node dynamics are considered: time-continuous Van der Pol oscillators, and time-discrete logistic maps. We elaborate the variety of chimera patterns in networks of different hierarchical levels, and study the role of network symmetries and clustering.