{"created":"2023-06-19T07:02:36.013408+00:00","id":249,"links":{},"metadata":{"_buckets":{"deposit":"eb14cb20-9bb4-418d-a4f9-4d4851b76533"},"_deposit":{"created_by":16,"id":"249","owners":[16],"pid":{"revision_id":0,"type":"depid","value":"249"},"status":"published"},"_oai":{"id":"oai:fukuoka-pu.repo.nii.ac.jp:00000249","sets":["3:4:61"]},"author_link":["15"],"control_number":"249","item_10002_biblio_info_7":{"attribute_name":"bibliographic_information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2008-07-31","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"43","bibliographicPageStart":"29","bibliographicVolumeNumber":"17","bibliographic_titles":[{"bibliographic_title":"福岡県立大学人間社会学部紀要"},{"bibliographic_title":"Journal of the Faculty of Integrated Human Studies and Social Sciences, Fukuoka Prefectural University","bibliographic_titleLang":"en"}]}]},"item_10002_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"ハミルトン系のカオスの研究でよく取り上げられるHénon-Heiles系のカオス軌道の統 計的性質について調べた。非線形性が最も強いパラメータE＝1/6における４つの力学変数x, y,Px, Py について自己相関関数を数値的に求めた結果、４つの力学変数x, ｙ,Px, Pyに関する自己相 関関数はすべて振動しながら０に減衰することがわかった。また、 xとｙ,PxとPy の自己相関関数 が一致することがわかった。 \n　次に、ｙとPyのパワースペクトルを高速フーリエ変換（FFT）により求めた。その結果、y(t)のパワースペクトルIy(ω)には、ω0＝0.000, ω1＝1.002, ω2＝0.797に、Py(t)のパワースペクトル Iｐy (ω)には、ω′0＝1.002, ω′1＝0.799に振動数ピークがみられた。\n　 パワースペクトルIy(ω)のω＝ω0付近のピーク構造は、ローレンチアンの近似式とよく一致し、ω＝ω1とω＝ω2付近のピーク構造は、非対称ローレンチアンの近似式とよく一致した。パワースペクトルIy(ω)のω＝ω0付近のローレンチアンは、自己相関関数Cy(t)では指数関数減衰に対応している（減衰定数γ0＝0.01657、相関時間τ0＝1/γ0≃60.35）。パワースペクトルIy(ω)のω＝ω1とω＝ω2付近の非対称ローレンチアンは、自己相関関数Cy(t)では振動型の指数関数 減衰に対応している（減衰定数γ 1＝0.02764、相関時間τ 1＝1/γ 1≃36.18、減衰定数γ2＝0.02844、 相関時間τ2＝1/γ2≃35.16）。 \n　パワースペクトルIpy(ω)のω＝ω′0とω＝ω′1付近のピーク構造は、非対称ローレンチアンの近 似式とよく一致した。パワースペクトルIpy(ω)のω＝ω′0とω＝ω′1付近の非対称ローレンチアン は、自己相関関数Cpy(t)では振動型の指数関数減衰に対応している（減衰定数γ′0＝0.02524、相関時間τ′0＝1/γ′0≃39.62、減衰定数γ′1＝0.02955、相関時間τ′1＝1/γ′1≃33.84）。","subitem_description_type":"Abstract"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"福岡県立大学人間社会学部"}]},"item_10002_relation_12":{"attribute_name":"item_10002_relation_12","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"110008604501","subitem_relation_type_select":"NAID"}}]},"item_10002_source_id_11":{"attribute_name":"item_10002_source_id_11","attribute_value_mlt":[{"subitem_source_identifier":"AA11875546","subitem_source_identifier_type":"NCID"}]},"item_10002_source_id_9":{"attribute_name":"item_10002_source_id_9","attribute_value_mlt":[{"subitem_source_identifier":"13490230","subitem_source_identifier_type":"ISSN"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"ISHIZAKI, Ryuji","creatorNameLang":"en"},{"creatorName":"石崎, 龍二","creatorNameLang":"ja"},{"creatorName":"イシザキ, リュウジ","creatorNameLang":"ja-Kana"}],"familyNames":[{"familyName":"ISHIZAKI","familyNameLang":"en"},{"familyName":"石崎","familyNameLang":"ja"},{"familyName":"イシザキ","familyNameLang":"ja-Kana"}],"givenNames":[{"givenName":"Ryuji","givenNameLang":"en"},{"givenName":"龍二","givenNameLang":"ja"},{"givenName":"リュウジ","givenNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"15","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"90265017","nameIdentifierScheme":"e-Rad_Researcher","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=90265017"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-02-10"}],"displaytype":"detail","filename":"1701_ishizaki.pdf","filesize":[{"value":"18.6 MB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"1701_ishizaki","url":"https://fukuoka-pu.repo.nii.ac.jp/record/249/files/1701_ishizaki.pdf"},"version_id":"f3eb9cf0-d501-4d1d-894f-94ea295c9793"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"ハミルトン系","subitem_subject_scheme":"Other"},{"subitem_subject":"カオス","subitem_subject_scheme":"Other"},{"subitem_subject":"自己相関関数","subitem_subject_scheme":"Other"},{"subitem_subject":"パワースペクトル","subitem_subject_scheme":"Other"},{"subitem_subject":"ローレンチアン","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"item_resource_type","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Hénon-Heiles系におけるカオスのパワースペクトルのピーク構造","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Hénon-Heiles系におけるカオスのパワースペクトルのピーク構造","subitem_title_language":"ja"},{"subitem_title":"Structures of Peaks in Power Spectra of Chaos in the  Hénon-Heiles System","subitem_title_language":"en"}]},"item_type_id":"10002","owner":"16","path":["61"],"pubdate":{"attribute_name":"公開日","attribute_value":"2018-02-10"},"publish_date":"2018-02-10","publish_status":"0","recid":"249","relation_version_is_last":true,"title":["Hénon-Heiles系におけるカオスのパワースペクトルのピーク構造"],"weko_creator_id":"16","weko_shared_id":-1},"updated":"2024-11-14T01:42:43.356969+00:00"}