Summary

International Symposium on Nonlinear Theory and its Applications

2008

Session Number:C2L-D

Session:

Number:C2L-D1

Properties of the Duration of Transient Oscillations in a Ring Neural Network

Yo Horikawa,  Hiroyuki Kitajima,  

pp.-

Publication Date:2008/9/7

Online ISSN:2188-5079

DOI:10.34385/proc.42.C2L-D1

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Summary:
Properties of the duration of long lasting transient oscillations in ring networks of unidirectionally coupled sigmoidal neurons are derived with a kinematical model of traveling waves in the networks. The duration of the transient oscillations occurring from random initial conditions increases exponentially as the number of neurons. The distribution of the duration is approximated by a power-law function when the number of neurons is large.