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BIFURCATION ANALYSIS OF CURRENT COUPLED BVP OSCILLATORS
https://tokushima-u.repo.nii.ac.jp/records/2005279
https://tokushima-u.repo.nii.ac.jp/records/200527988135a6b-d02e-4dc6-911b-36bf2230518d
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
ijbc_17_3_837.pdf (7.61 MB)
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| Item type | 文献 / Documents(1) | |||||||||||||||||
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| 公開日 | 2018-08-28 | |||||||||||||||||
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| アクセス権 | open access | |||||||||||||||||
| 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 | |||||||||||||||||
| 出版社版DOI | ||||||||||||||||||
| 関連識別子 | https://doi.org/10.1142/S0218127407017586 | |||||||||||||||||
| 関連名称 | 10.1142/S0218127407017586 | |||||||||||||||||
| 出版タイプ | ||||||||||||||||||
| 出版タイプ | AM | |||||||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||||||||||
| タイトル | ||||||||||||||||||
| タイトル | BIFURCATION ANALYSIS OF CURRENT COUPLED BVP OSCILLATORS | |||||||||||||||||
| 著者 |
辻, 繁樹
× 辻, 繁樹
× 上田, 哲史
WEKO
98
× 川上, 博 |
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| 抄録 | ||||||||||||||||||
| 内容記述 | The Bonhöffer-van der Pol (BVP) oscillator is a simple circuit implementation describing neuronal dynamics. Lately the diffusive coupling structure of neurons attracts much attention since the existence of the gap-junctional coupling has been confirmed in the brain. Such coupling is easily realized by linear resistors for the circuit implementation, however, there are not enough investigations about diffusively coupled BVP oscillators, even a couple of BVP oscillators. We have considered several types of coupling structure between two BVP oscillators, and discussed their dynamical behavior in preceding works. In this paper, we treat a simple structure called current coupling and study their dynamical properties by the bifurcation theory. We investigate various bifurcation phenomena by computing some bifurcation diagrams in two cases, symmetrically and asymmetrically coupled systems. In symmetrically coupled systems, although all internal elements of two oscillators are the same, we obtain in-phase, anti-phase solution and some chaotic attractors. Moreover, we show that two quasi-periodic solutions are disappeared simultaneously by the homoclinic bifurcation on the Poincaré map and that a large quasi-periodic solution is generated by the coalescence of these quasi-periodic solutions, but it is disappeared by the heteroclinic bifurcation on the Poincaré map. In the other case, we confirm the existence a conspicuous chaotic attractor in the laboratory experiments. | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | Bifurcation | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | chaos | |||||||||||||||||
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| 主題 | BVP oscillator | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | diffusive coupling | |||||||||||||||||
| 書誌情報 |
en : International Journal of Bifurcation and Chaos 巻 17, 号 3, p. 837-850, 発行日 2007-03 |
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| 収録物識別子タイプ | ISSN | |||||||||||||||||
| 収録物識別子 | 02181274 | |||||||||||||||||
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| 収録物識別子タイプ | ISSN | |||||||||||||||||
| 収録物識別子 | 17936551 | |||||||||||||||||
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| 収録物識別子タイプ | NCID | |||||||||||||||||
| 収録物識別子 | AA10810319 | |||||||||||||||||
| 出版者 | ||||||||||||||||||
| 出版者 | World Scientific | |||||||||||||||||
| 権利情報 | ||||||||||||||||||
| 権利情報 | Electronic version of an article published as International Journal of Bifurcation and Chaos Vol. 17, No. 3, 2007, 837-850, DOI: 10.1142/S0218127407017586 © World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ijbc | |||||||||||||||||
| EID | ||||||||||||||||||
| 識別子 | 104057 | |||||||||||||||||
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| 言語 | eng | |||||||||||||||||
