{"created":"2024-10-28T02:34:33.833485+00:00","id":2003918,"links":{},"metadata":{"_buckets":{"deposit":"0784fce9-a9bb-4bbf-925e-fb50973d94e9"},"_deposit":{"created_by":7,"id":"2003918","owners":[7],"pid":{"revision_id":0,"type":"depid","value":"2003918"},"status":"published"},"_oai":{"id":"oai:tokushima-u.repo.nii.ac.jp:02003918","sets":["1713853213384:1713853295607"]},"author_link":["98","1587","84"],"item_10001_alternative_title_1":{"attribute_name":"タイトル別表記","attribute_value_mlt":[{"subitem_alternative_title":"A Method to Calculate Neimark-Sacker Bifurcation in Autonomous Systems","subitem_alternative_title_language":"en"}]},"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2000-10-25","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"10","bibliographicPageEnd":"1147","bibliographicPageStart":"1141","bibliographicVolumeNumber":"J83-A ","bibliographic_titles":[{"bibliographic_title":"電子情報通信学会論文誌 A","bibliographic_titleLang":"ja"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"自律系にみられるリミットサイクルにおいて，パラメータの変化により特性乗数が複素単位円を横切る場合，Neimark-Sacker分岐を生じる．本論文ではこの分岐パラメータ値を求める新しい計算方法を提案する．固定点条件，Poincaré断面条件に加えて，共役複素数の特性乗数を代入した特性方程式を実部と虚部に分離し，それぞれを独立した条件として採用する．これら条件式を連立させ，ニュートン法により解く．新たな独立変数として，共役複素な特性乗数の偏角を用いた．ニュートン法のヤコビ行列の各要素は，複素数演算，数値微分を用いることなく，変分方程式の解と行列操作によって求めることができるため，ニュートン法の収束性もよい．例として8次元自律系のリミットサイクルのNeimark-Sacker分岐の計算結果をあげる．","subitem_description_language":"ja","subitem_description_type":"Abstract"}]},"item_10001_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"電子情報通信学会","subitem_publisher_language":"ja"}]},"item_10001_rights_15":{"attribute_name":"権利情報","attribute_value_mlt":[{"subitem_rights":"(c)2000 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関栄","creatorNameLang":"ja"},{"creatorName":"Chen, Guanrong","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2017-09-06"}],"displaytype":"detail","filename":"ieice_trans_j83-a_10_1141.pdf","filesize":[{"value":"325 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tokushima-u.repo.nii.ac.jp/record/2003918/files/ieice_trans_j83-a_10_1141.pdf"},"version_id":"eb2323a8-845f-4750-bdc0-2c115dac13cd"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"自律系","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"リミットサイクル","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"Neimark-Sacker 分岐","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"ニュートン法","subitem_subject_language":"ja","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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"高次元自律系におけるNeimark-Sacker 分岐の一計算法","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"高次元自律系におけるNeimark-Sacker 分岐の一計算法","subitem_title_language":"ja"},{"subitem_title":"コウジゲン ジリツケイ ニオケル Neimark-Sacker ブンキ ノ イチケイサンホウ","subitem_title_language":"ja-Kana"}]},"item_type_id":"40001","owner":"7","path":["1713853295607"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2017-09-06"},"publish_date":"2017-09-06","publish_status":"0","recid":"2003918","relation_version_is_last":true,"title":["高次元自律系におけるNeimark-Sacker 分岐の一計算法"],"weko_creator_id":"7","weko_shared_id":-1},"updated":"2024-10-28T02:34:41.527793+00:00"}