| Item type |
文献 / Documents(1) |
| 公開日 |
2018-08-28 |
| アクセス権 |
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アクセス権 |
open access |
| 資源タイプ |
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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 |
|
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関連識別子 |
https://doi.org/10.1142/S0218127416300068 |
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関連名称 |
10.1142/S0218127416300068 |
| 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 |
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|
タイトル |
Bifurcation Analysis of the Nagumo–Sato Model and Its Coupled Systems |
| 著者 |
伊藤, 大輔
上田, 哲史
高坂, 拓司
合原, 一幸
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| 抄録 |
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内容記述 |
The Nagumo-Sato model is a simple mathematical expression of a single neuron, and it is categorized as a discrete-time hybrid dynamical system. To compute bifurcation sets in such a discrete-time hybrid dynamical system accurately, conditions for periodic solutions and bifurcations are formulated herewith as a boundary value problem, and Newton's method is implemented to solve that problem. As the results of the analysis, the following properties are obtained: border-collision bifurcations play a dominant role in dynamical behavior of the model; chaotic regions are distinguished by tangent bifurcations; and multi-stable attractors are observed in its coupled system. We demonstrate several bifurcation diagrams and corresponding topological properties of periodic solutions. |
| キーワード |
|
|
主題 |
Discrete-time hybrid dynamical system |
| キーワード |
|
|
主題 |
Nagumo–Sato model |
| キーワード |
|
|
主題 |
border-collision bifurcation |
| 書誌情報 |
en : International Journal of Bifurcation and Chaos
巻 26,
号 3,
p. 1630006,
発行日 2016-03
|
| 収録物ID |
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収録物識別子タイプ |
ISSN |
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収録物識別子 |
02181274 |
| 収録物ID |
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収録物識別子タイプ |
ISSN |
|
収録物識別子 |
17936551 |
| 収録物ID |
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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. 26, No. 3, 2015, 1630006, DOI: 10.1142/S0218127416300068 © World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ijbc |
| EID |
|
|
識別子 |
304985 |
| 言語 |
|
|
言語 |
eng |
ijbc_26_3_1630006.pdf (2.83 MB)
