Mechanism of Long Transient Oscillations in Cyclic Coupled Systems
URI | http://shark.lib.kagawa-u.ac.jp/kuir/metadata/1270 | ||||||||||||
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Title |
Mechanism of Long Transient Oscillations in Cyclic Coupled Systems
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File |
AA10824244_42_3_1854.pdf
( 260.0 KB )
Open Date
:2012-03-27
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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. |
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Author |
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Publication Title |
Chaos, solitons, & fractals
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Volume |
42
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Issue |
3
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Start Page |
1854
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End Page |
1859
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Publisher |
Elsevier
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Published Date |
200911
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ISSN |
0960-0779
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NCID |
AA10824244
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DOI |
10.1016/j.chaos.2009.03.103
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Resource Type |
Journal Article
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Language |
eng
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Resource URL |
http://dx.doi.org/10.1016/j.chaos.2009.03.103
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Rights |
Copyright c 2009 Elsevier Ltd
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Text Version |
author
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Set |
香川大学
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Copyright (C) 2009 Kagawa University All rights reserved.