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Hierarhical organization of synchronous behavior in adaptive networks

Dmitry Kasatkin, Vladimir Nekorkin
We study synchronization behavior in the network of
phase oscillators with adaptive couplings. We have
found hierarchical formation of complex synchroniza-
tion patterns including multi-cluster and chimera states.
This process represents a sequential formation of a new
group of synchronized elements, ordered in hierarchi-
cal way. The formation of these groups is accompanied
by a transformation of the network interaction struc-
ture, when the network splits into a number of weakly
interacting subnetworks.
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