Hierarchy and polysynchrony in an adaptive network

V. Botella Soler, P. Glendinning, Physical Review E Statistical Nonlinear and Soft Matter Physics 89 (2014).


Journal Article | Published | English
Author
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.
Publishing Year
Date Published
2014-06-16
Journal Title
Physical Review E Statistical Nonlinear and Soft Matter Physics
Acknowledgement
V.B.S. is partially supported by contract MEC (Grant No. AYA2010-22111-C03-02).
Volume
89
Issue
6
Article Number
062809
IST-REx-ID

Cite this

Botella Soler V, Glendinning P. Hierarchy and polysynchrony in an adaptive network . Physical Review E Statistical Nonlinear and Soft Matter Physics. 2014;89(6). doi:10.1103/PhysRevE.89.062809
Botella Soler, V., & Glendinning, P. (2014). Hierarchy and polysynchrony in an adaptive network . Physical Review E Statistical Nonlinear and Soft Matter Physics, 89(6). https://doi.org/10.1103/PhysRevE.89.062809
Botella Soler, Vicente, and Paul Glendinning. “Hierarchy and Polysynchrony in an Adaptive Network .” Physical Review E Statistical Nonlinear and Soft Matter Physics 89, no. 6 (2014). https://doi.org/10.1103/PhysRevE.89.062809 .
V. Botella Soler and P. Glendinning, “Hierarchy and polysynchrony in an adaptive network ,” Physical Review E Statistical Nonlinear and Soft Matter Physics, vol. 89, no. 6, 2014.
Botella Soler V, Glendinning P. 2014. Hierarchy and polysynchrony in an adaptive network . Physical Review E Statistical Nonlinear and Soft Matter Physics. 89(6).
Botella Soler, Vicente, and Paul Glendinning. “Hierarchy and Polysynchrony in an Adaptive Network .” Physical Review E Statistical Nonlinear and Soft Matter Physics, vol. 89, no. 6, 062809, American Institute of Physics, 2014, doi:10.1103/PhysRevE.89.062809 .

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