WEKO3
インデックスリンク
アイテム
Correspondence between phase oscillator network and classical XY modelwith the same infinite-range interaction in statics
http://hdl.handle.net/10935/3918
http://hdl.handle.net/10935/3918222d3518-69d6-4b43-89a9-897082d6dc96
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
AA00704814_v84n3_pp033001.pdf
|
|
| アイテムタイプ | default_学術雑誌論文 / Journal Article(1) | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| タイトル | ||||||||||||
| タイトル | Correspondence between phase oscillator network and classical XY modelwith the same infinite-range interaction in statics | |||||||||||
| 言語 | en | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
| キーワード | ||||||||||||
| 言語 | en | |||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Classical XY Model | |||||||||||
| キーワード | ||||||||||||
| 言語 | en | |||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Phase Oscillator Network | |||||||||||
| 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 | |||||||||||
| 著者 |
上江洌,達也
× 上江洌,達也× 木本,智幸× 清川,修二
× 岡田,真人 |
|||||||||||
| 抄録 | ||||||||||||
| 内容記述タイプ | Abstract | |||||||||||
| 内容記述 | We study phase oscillator networks with distributed natural frequencies and classical XY models, both of which have a class of infinite-range interactions in common. We find that the integral kernel of the self-consistent equations (SCEs) for oscillator networks corresponds to that of the saddle point equations (SPEs) for XY models, and that the quenched randomness (distributed natural frequencies) corresponds to thermal noise. We find a sufficient condition under which the probability density of natural frequency distributions is one-humped, so that the kernel in an oscillator network is strictly decreasing, as in the XY model. Furthermore, taking the uniform and Mexican-hat-type interactions, we prove the one-to-one correspondence between the solutions of the SCEs and SPEs. As an application of the correspondence, we study the associative-memory-type interaction. In the XY model with this interaction, there exists a peculiar one-parameter family of solutions. For the oscillator network, we find a nontrivial solution, i.e., a limit cycle oscillation. | |||||||||||
| 言語 | en | |||||||||||
| 内容記述 | ||||||||||||
| 内容記述タイプ | Other | |||||||||||
| 内容記述 | 本論文の著作権は一般社団法人日本物理学会(The Physical Society of Japan)が保有しています。 | |||||||||||
| 言語 | ja | |||||||||||
| 書誌情報 |
en : Journal of Physical Society of Japan Letters 巻 84, 号 3, p. 033001-1-033001-5, 発行日 2015-02 |
|||||||||||
| 出版者 | ||||||||||||
| 出版者 | Physical Society of Japan | |||||||||||
| 言語 | en | |||||||||||
| ISSN | ||||||||||||
| 収録物識別子タイプ | PISSN | |||||||||||
| 収録物識別子 | 1347-4073 | |||||||||||
| 書誌レコードID | ||||||||||||
| 識別子タイプ | NCID | |||||||||||
| 関連識別子 | AA00704814 | |||||||||||
| DOI | ||||||||||||
| 関連タイプ | isVersionOf | |||||||||||
| 識別子タイプ | DOI | |||||||||||
| 関連識別子 | https://doi.org/10.7566/JPSJ.84.033001 | |||||||||||
| 関連名称 | 10.7566/JPSJ.84.033001 | |||||||||||
| 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 | |||||||||||
