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Universality in chaos: Lyapunov spectrum and random matrix theory
https://oist.repo.nii.ac.jp/records/706
https://oist.repo.nii.ac.jp/records/7064032d46d-e173-4244-8ae1-8314c0828f8b
名前 / ファイル | ライセンス | アクション |
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PhysRevE.97.022224 (537.2 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2018-09-13 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Universality in chaos: Lyapunov spectrum and random matrix theory | |||||
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 | |||||
著者(英) |
Hanada, Masanori
× Hanada, Masanori× Shimada, Hidehiko× Tezuka, Masaki |
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書誌情報 |
en : Physical Review E 巻 97, 号 2, p. 022224, 発行日 2018-02-28 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | We propose the existence of a new universality in classical chaotic systems when the number of degrees of freedom is large: the statistical property of the Lyapunov spectrum is described by random matrix theory. We demonstrate it by studying the finite-time Lyapunov exponents of the matrix model of a stringy black hole and the mass-deformed models. The massless limit, which has a dual string theory interpretation, is special in that the universal behavior can be seen already at t=0, while in other cases it sets in at late time. The same pattern is demonstrated also in the product of random matrices. | |||||
出版者 | ||||||
出版者 | American Physical Society | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 2470-0045 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 2470-0053 | |||||
PubMed番号 | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | PMID | |||||
関連識別子 | info:pmid/29548103 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1103/PhysRevE.97.022224 | |||||
権利 | ||||||
権利情報 | ©2018 American Physical Society | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.022224 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |