Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:C1L-B

Session:

Number:555

Synchronization in networks of excitable elements with time-delayed and rectifying coupling

Sten Rüdiger,  Ronny Möbius,  Lutz Schimansky-Geier,  

pp.555-558

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.555

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Summary:
We study the synchronization properties of excitable FitzHugh-Nagumo elements in a one-dimensional network. Elements are coupled to their nearest neighbors with a stimulating, or rectifying, term with time delay. We first show how time delay can be obtained for networks of coupled neurons. States of global synchronization in the network are analyzed by bifurcation theory. We then consider spatial aspects of the synchronization by direct simulation for fixed and distributed delay times and characterize the effect on the shape of excitation spikes. We find that for distributed delays, echo pulses appear and meander and are of arbitrary duration, whereas for non-distributed delay they are fixed and of constant duration.

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