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Phys. Rev. Lett. 101, 078102 (2008) [4 pages]

When Weak Inhibition Synchronizes Strongly Desynchronizing Networks of Bursting Neurons

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Igor Belykh and Andrey Shilnikov
Department of Mathematics and Statistics and The Neuroscience Institute, Georgia State University, 30 Pryor Street, Atlanta, Georgia 30303, USA

Received 6 January 2008; published 13 August 2008

We show that weak common inhibition applied to a network of bursting neurons with strong desynchronizing connections can induce burst and complete synchronization. We demonstrate that the weak synchronizing inhibition from the same pacemaker neuron can win out over much stronger desynchronizing connections within the network, provided that the neuron’s duty cycle is sufficiently long. We also gain insight into how the changes in burst duty cycles can trigger unexpected clusters of synchrony in bursting networks.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.078102
DOI:
10.1103/PhysRevLett.101.078102
PACS:
87.19.lm, 05.45.Xt, 87.19.lj