Heterogeneous delays in neural networks

We investigate heterogeneous coupling delays in complex networks of excitable elements described by the FitzHugh-Nagumo model. The effects of discrete as well as of uni- and bimodal continuous distributions are studied with a focus on different topologies, i.e., regular, small-world, and random netw...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2014-03, Vol.87 (3), Article 54
Main Authors: Cakan, Caglar, Lehnert, Judith, Schöll, Eckehard
Format: Article
Language:English
Subjects:
Complex Systems
Condensed Matter Physics
Fluid- and Aerodynamics
Neural networks
Physics
Physics and Astronomy
Regular Article
Solid State Physics
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Summary:We investigate heterogeneous coupling delays in complex networks of excitable elements described by the FitzHugh-Nagumo model. The effects of discrete as well as of uni- and bimodal continuous distributions are studied with a focus on different topologies, i.e., regular, small-world, and random networks. In the case of two discrete delay times resonance effects play a major role: depending on the ratio of the delay times, various characteristic spiking scenarios, such as coherent or asynchronous spiking, arise. For continuous delay distributions different dynamical patterns emerge depending on the width of the distribution. For small distribution widths, we find highly synchronized spiking, while for intermediate widths only spiking with low degree of synchrony persists, which is associated with traveling disruptions, partial amplitude death, or subnetwork synchronization, depending sensitively on the network topology. If the inhomogeneity of the coupling delays becomes too large, global amplitude death is induced.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2014-40985-7