Summary
2007 International Symposium on Nonlinear Theory and its Applications
2007
Session Number:19AM2-D
Session:
Number:19AM2-D-1
Oscillation in cyclic coupled systems
Hiroyuki Kitajima, Yo Horikawa,
pp.453-456
Publication Date:2007/9/16
Online ISSN:2188-5079
DOI:10.34385/proc.41.19AM2-D-1
Summary:
We investigate the mechanism of oscillatory solutions in coupled even number of neurons as a ring. In a time domain, these oscillatory solutions show switching patterns between positive and negative values. We calculate the distance between the oscillatory solutions and UPS (Unstable Periodic Solution) generated the Hopf bifurcation on the sections of xi = 0. This result shows that these patterns are formed by the trajectories closing to UPS and staying around it for a long time. We also con?rm this phenomenon in a simple electrical circuit using inverting operational ampli?ers.