{"created":"2023-06-19T07:02:36.622134+00:00","id":262,"links":{},"metadata":{"_buckets":{"deposit":"76d38811-05f1-43df-a8c0-81cae4add4e5"},"_deposit":{"created_by":16,"id":"262","owners":[16],"pid":{"revision_id":0,"type":"depid","value":"262"},"status":"published"},"_oai":{"id":"oai:fukuoka-pu.repo.nii.ac.jp:00000262","sets":["3:4:67"]},"author_link":["15"],"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2008-03-18","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"27","bibliographicPageStart":"15","bibliographicVolumeNumber":"16","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":"　保存力学系のカオス解をもつ微分方程式系としてよく知られているHénon-Heiles系のカオス軌道の統計的性質を数値解析により調べた。まず、位相空間内のカオス領域に初期点を取 り、変数yの２時間相関関数を長時間平均により数値的に求めた。その結果、２時間相関関数は 振動しながら０に漸近していく事がわかった。この数値的に求めた２時間相関関数の減衰形を評 価するために、変数yの２時間相関関数と、変数yのパワースペクトルのピーク構造を使った指数型減衰関数と三角関数の積和とのフィッティングを最小二乗法により行った。その結果、エネ ルギー積分がE=1/10, 1/8, 7/48, 1/6のいずれの値に対しても、決定係数は0.6を超えており、あて はまりは良かった。エネルギー積分Eが大きくなるほど、指数型関数と三角関数の積和とのあてはまりが良くなる傾向がみられた。しかし、初期の時間範囲では、あてはまりが良いが、長時間後の時間範囲では、ずれが大きくなる傾向がみられた。次に、カオス軌道の初期値鋭敏性や軌道不安定性の時間的揺らぎを特徴づけるために、局所軌道拡大率の揺らぎを調べた。その結果、局 所軌道拡大率の２時間相関関数には、時間tに関する逆べき型t-(β-1)の長時間相関があることがわ かった。これはカオス軌道が、カオスの海とKAMトーラスの島との境界領域へ長時間停滞することにより作り出されるものであると考えられる。","subitem_description_type":"Abstract"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"福岡県立大学"}]},"item_10002_relation_12":{"attribute_name":"論文ID（NAID）","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"110008605618","subitem_relation_type_select":"NAID"}}]},"item_10002_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11875546","subitem_source_identifier_type":"NCID"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","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":"石崎, 龍二"},{"creatorName":"イシザキ, リュウジ","creatorNameLang":"ja-Kana"},{"creatorName":"ISHIZAKI, Ryuji","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"15","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"90265017","nameIdentifierScheme":"e-Rad","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":"2018-02-15"}],"displaytype":"detail","filename":"1602_ishizaki.pdf","filesize":[{"value":"1.1 MB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"1602_ishizaki","url":"https://fukuoka-pu.repo.nii.ac.jp/record/262/files/1602_ishizaki.pdf"},"version_id":"cf2053ac-4cde-4803-98b2-cdb93c062dcf"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"保存力学系","subitem_subject_scheme":"Other"},{"subitem_subject":"カオス","subitem_subject_scheme":"Other"},{"subitem_subject":"２時間相関関数","subitem_subject_scheme":"Other"},{"subitem_subject":"パワースペクトル","subitem_subject_scheme":"Other"},{"subitem_subject":"リアプノフ指数","subitem_subject_scheme":"Other"},{"subitem_subject":"局所軌道拡大率","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Hénon-Heiles系におけるカオス軌道の統計的性質","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Hénon-Heiles系におけるカオス軌道の統計的性質"},{"subitem_title":"Statistical Properties of Chaotic Orbits in the Hénon-Heiles System","subitem_title_language":"en"}]},"item_type_id":"10002","owner":"16","path":["67"],"pubdate":{"attribute_name":"公開日","attribute_value":"2018-02-15"},"publish_date":"2018-02-15","publish_status":"0","recid":"262","relation_version_is_last":true,"title":["Hénon-Heiles系におけるカオス軌道の統計的性質"],"weko_creator_id":"16","weko_shared_id":-1},"updated":"2023-06-19T07:23:17.338749+00:00"}