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Chaotic Itinerancy Observed in Mutually Coupled Gaussian Maps
https://tokushima-u.repo.nii.ac.jp/records/2009120
https://tokushima-u.repo.nii.ac.jp/records/2009120b25a5d23-2c35-42b6-b26c-5692046421be
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
ijbc_28_4_1830011.pdf (3.16 MB)
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| Item type | 文献 / Documents(1) | |||||||||||||||||
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| 公開日 | 2021-08-30 | |||||||||||||||||
| アクセス権 | ||||||||||||||||||
| 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/S0218127418300112 | |||||||||||||||||
| 関連名称 | 10.1142/S0218127418300112 | |||||||||||||||||
| 出版タイプ | ||||||||||||||||||
| 出版タイプ | VoR | |||||||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||||||
| タイトル | ||||||||||||||||||
| タイトル | Chaotic Itinerancy Observed in Mutually Coupled Gaussian Maps | |||||||||||||||||
| 著者 |
小林, 美緒
× 小林, 美緒
× 吉永, 哲哉
WEKO
1587
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| 抄録 | ||||||||||||||||||
| 内容記述 | A one-dimensional Gaussian map defined by a Gaussian function describes a discrete-time dynamical system. Chaotic behavior can be observed in both Gaussian and logistic maps. This study analyzes the bifurcation structure corresponding to the fixed and periodic points of a coupled system comprising two Gaussian maps. The bifurcation structure of a mutually coupled Gaussian map is more complex than that of a mutually coupled logistic map. In a coupled Gaussian map, it was confirmed that after a stable fixed point or stable periodic points became unstable through the bifurcation, the points were able to recover their stability while the system parameters were changing. Moreover, we investigated a parameter region in which symmetric and asymmetric stable fixed points coexisted. Asymmetric unstable fixed point was generated by the D-type branching of a symmetric stable fixed point. The stability of the unstable fixed point could be recovered through period-doubling and tangent bifurcations. Furthermore, a homoclinic structure related to the occurrence of chaotic behavior and invariant closed curves caused by two-periodic points was observed. The mutually coupled Gaussian map was merely a two-dimensional dynamical system; however, chaotic itinerancy, known to be a characteristic property associated with high-dimensional dynamical systems, was observed. The bifurcation structure of the mutually coupled Gaussian map clearly elucidates the mechanism of chaotic itinerancy generation in the two-dimensional coupled map. We discussed this mechanism by comparing the bifurcation structures of the Gaussian and logistic maps. | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | Gaussian map | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | logistic map | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | bifurcation phenomena | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | chaos | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | chaotic itinerancy | |||||||||||||||||
| 書誌情報 |
en : International Journal of Bifurcation and Chaos 巻 28, 号 4, p. 1830011, 発行日 2018-04 |
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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 | This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited. | |||||||||||||||||
| EID | ||||||||||||||||||
| 識別子 | 336821 | |||||||||||||||||
| 言語 | ||||||||||||||||||
| 言語 | eng | |||||||||||||||||
