Mechanism of Long Transient Oscillations in Cyclic Coupled Systems

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URI http://shark.lib.kagawa-u.ac.jp/kuir/metadata/1270
Title
Mechanism of Long Transient Oscillations in Cyclic Coupled Systems
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Description

We consider unidirectionally coupled ring networks of neurons with inhibitory connections. It is known that when a number of inhibitory neurons is even, the system never has stable oscillatory modes. However, we observed oscillatory modes in such a case. In this paper, we clarify the oscillation mechanism in a state space. We investigate the relationship between these oscillatory modes and the unstable periodic solutions (UPSs) generated by the Hopf bifurcations. As a result we find that these transient oscillatory modes are generated by trajectories closing to the UPS and staying around it for a long time. We also confirm this phenomenon in a simple electrical circuit using inverting operational amplifiers.

Author
著者 Kitajima Hiroyuki
著者(ヨミ) キタジマ ヒロユキ
著者(別表記) 北島 博之
著者 Horikawa Yo
著者(ヨミ) ホリカワ ヨウ
著者(別表記) 堀川 洋
Publication Title
Chaos, solitons, & fractals
Volume
42
Issue
3
Start Page
1854
End Page
1859
Publisher
Elsevier
Published Date
200911
ISSN
0960-0779
NCID
AA10824244
DOI
10.1016/j.chaos.2009.03.103
Resource Type
Journal Article
Language
eng
Resource URL
http://dx.doi.org/10.1016/j.chaos.2009.03.103
Rights
Copyright c 2009 Elsevier Ltd
Text Version
author
Set
香川大学
Copyright (C) 2009 Kagawa University All rights reserved.