Hierarchy and polysynchrony in an adaptive network Review Article

Author(s): Botella-Soler, Vicente; Glendinning, Paul
Title: Hierarchy and polysynchrony in an adaptive network
Affiliation IST Austria
Abstract: We describe a simple adaptive network of coupled chaotic maps. The network reaches a stationary state (frozen topology) for all values of the coupling parameter, although the dynamics of the maps at the nodes of the network can be nontrivial. The structure of the network shows interesting hierarchical properties and in certain parameter regions the dynamics is polysynchronous: Nodes can be divided in differently synchronized classes but, contrary to cluster synchronization, nodes in the same class need not be connected to each other. These complicated synchrony patterns have been conjectured to play roles in systems biology and circuits. The adaptive system we study describes ways whereby this behavior can evolve from undifferentiated nodes.
Publication Title: Physical Review E Statistical Nonlinear and Soft Matter Physics
Volume: 89
Issue 6
ISBN: 1539-3755
Publisher: American Institute of Physics  
Date Published: 2014-06-16
Start Page: Article number: 062809
Sponsor: P.G. is partially funded by the UK EPSRC Grants No. EP/E050441/1 (CICADA) and No. EP/I01912X/1 (EPSRC Mathematics Platform Engagement grant). V.B.S. is partially supported by contract MEC (Grant No. AYA2010-22111-C03-02 and FEDER Funds).
DOI: 10.1103/PhysRevE.89.062809
Notes: V.B.S. also thanks Dept. Física Teòrica (Universitat de València) for hospitality.
Open access: yes (repository)
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