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Bifurcation and stabilization of oscillations in ring neural networks with inertia
https://kagawa-u.repo.nii.ac.jp/records/462
https://kagawa-u.repo.nii.ac.jp/records/462ad668d12-85c3-4cfe-bf61-cada721e3417
名前 / ファイル | ライセンス | アクション |
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AA00362211_238_23_2409 (678.9 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||||||||||||||
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公開日 | 2012-03-27 | |||||||||||||||||
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言語 | en | |||||||||||||||||
タイトル | Bifurcation and stabilization of oscillations in ring neural networks with inertia | |||||||||||||||||
言語 | ||||||||||||||||||
言語 | eng | |||||||||||||||||
資源タイプ | ||||||||||||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||||||
資源タイプ | journal article | |||||||||||||||||
アクセス権 | ||||||||||||||||||
アクセス権 | open access | |||||||||||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||||||||
著者 |
堀川, 洋
× 堀川, 洋
WEKO
2767
× 北島, 博之
WEKO
2741
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抄録 | ||||||||||||||||||
内容記述タイプ | Abstract | |||||||||||||||||
内容記述 | Effects of inertia on oscillations in ring networks of unidirectionally coupled sigmoidal neurons are studied. It is known that ring neural networks without inertia are bistable and the duration of transient oscillations increases exponentially with the number of neurons. In this paper, a kinematical description of traveling waves in the oscillations in the networks is extended to networks with inertia. When the inertia is below a critical value and the state of each neuron is over-damped, properties of the networks are qualitatively the same as those without inertia. The duration of the transient oscillations then increases with inertia, and the increasing rate of the logarithm of the duration becomes more than double. When the inertia exceeds a critical value and the state of each neuron becomes under-damped, properties of the networks qualitatively change. The periodic solution is then stabilized through the pitchfork bifurcation as inertia increases. More bifurcations occur so that various periodic solutions are generated, and the stability of the periodic solutions changes alternately. Further, stable oscillations generated with inertia are observed in an experiment on an analog circuit. | |||||||||||||||||
言語 | en | |||||||||||||||||
書誌情報 |
en : Physica. D, Nonlinear phenomena 巻 238, 号 23・24, p. 2409-2418, 発行日 2009-12 |
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言語 | en | |||||||||||||||||
出版者 | Elsevier | |||||||||||||||||
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収録物識別子タイプ | PISSN | |||||||||||||||||
収録物識別子 | 0167-2789 | |||||||||||||||||
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収録物識別子タイプ | NCID | |||||||||||||||||
収録物識別子 | AA00362211 | |||||||||||||||||
論文ID(NAID) | ||||||||||||||||||
関連タイプ | isVersionOf | |||||||||||||||||
識別子タイプ | NAID | |||||||||||||||||
関連識別子 | 120007015489 | |||||||||||||||||
権利 | ||||||||||||||||||
言語 | en | |||||||||||||||||
権利情報 | Copyright © 2009 Elsevier B.V. All rights reserved. | |||||||||||||||||
関連サイト | ||||||||||||||||||
関連タイプ | isVersionOf | |||||||||||||||||
識別子タイプ | DOI | |||||||||||||||||
関連識別子 | https://doi.org/10.1016/j.physd.2009.09.021 | |||||||||||||||||
著者版フラグ | ||||||||||||||||||
出版タイプ | AM | |||||||||||||||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||||||||||
キーワード | ||||||||||||||||||
言語 | en | |||||||||||||||||
主題Scheme | Other | |||||||||||||||||
主題 | Ring neural network | |||||||||||||||||
キーワード | ||||||||||||||||||
言語 | en | |||||||||||||||||
主題Scheme | Other | |||||||||||||||||
主題 | Inertia | |||||||||||||||||
キーワード | ||||||||||||||||||
言語 | en | |||||||||||||||||
主題Scheme | Other | |||||||||||||||||
主題 | Traveling wave | |||||||||||||||||
キーワード | ||||||||||||||||||
言語 | en | |||||||||||||||||
主題Scheme | Other | |||||||||||||||||
主題 | Kinematical model | |||||||||||||||||
キーワード | ||||||||||||||||||
言語 | en | |||||||||||||||||
主題Scheme | Other | |||||||||||||||||
主題 | Bifurcation | |||||||||||||||||
KEID | ||||||||||||||||||
3103 |