{"created":"2023-05-15T11:59:44.459107+00:00","id":6313,"links":{},"metadata":{"_buckets":{"deposit":"a73f9927-6ed0-4c30-89ae-c588133e7edb"},"_deposit":{"created_by":3,"id":"6313","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"6313"},"status":"published"},"_oai":{"id":"oai:kyutech.repo.nii.ac.jp:00006313","sets":["8:24"]},"author_link":["26043","917","26045"],"control_number":"6313","item_21_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-01-10","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicVolumeNumber":"88","bibliographic_titles":[{"bibliographic_title":"Journal of the Physical Society of Japan"}]}]},"item_21_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We study mode selection rules at the first bifurcation and bifurcation diagrams for a two-delay system with a positive feedback of a long delay time t2 and with either a positive or negative feedback of a short delay time t1, i.e., 0 < t1 < t2. The mode excited by the first bifurcation changes with t1/t2, and the relevant and irrelevant conditions, which are rational numbers in t1/t2 with t1/t2 = n/m, characterize the mode selection rule; a definite subset of the rational numbers is relevant and its complement is irrelevant. In a neighborhood of a relevant condition, oscillations each with period T ≈ 2t2/m, i.e., mth-order harmonic, are excited at the first bifurcation. In a neighborhood of an irrelevant condition, twin peaks consisting of higher-order harmonics are observed. The mode selection rule markedly changes with the strength of the short delay; the relevant condition changes reflecting the change in the underlying mechanism of the bifurcation process. In this paper, we show that for each of the relevant and irrelevant conditions, the two-delay system is reduced to an m-dimensional map in the nondispersive limit, i.e., a singular perturbation limit. In terms of multidimensional maps, the first bifurcation for the relevant condition is either a pitchfork or period-doubling bifurcation, while a Hopf bifurcation is observed for the irrelevant condition. The mode selection rules together with the waveforms are explained from the analysis of the multidimensional maps. Furthermore, the global structure of transitions among attractors after the first bifurcation is approximately predicted from the analysis of the multidimensional maps.","subitem_description_type":"Abstract"}]},"item_21_description_60":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"Journal Article","subitem_description_type":"Other"}]},"item_21_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"affiliations":[{"affiliationNames":[{"affiliationName":"","lang":"ja"}],"nameIdentifiers":[]}],"familyNames":[{"familyName":"Takahashi","familyNameLang":"en"},{"familyName":"高橋","familyNameLang":"ja"},{"familyName":"タカハシ","familyNameLang":"ja-Kana"}],"givenNames":[{"givenName":"Kin'ya","givenNameLang":"en"},{"givenName":"公也","givenNameLang":"ja"},{"givenName":"キンヤ","givenNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"917","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"70188001","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/nrid/1000070188001"},{"nameIdentifier":"8714234900","nameIdentifierScheme":"Scopus著者ID","nameIdentifierURI":"https://www.scopus.com/authid/detail.uri?authorId=8714234900"},{"nameIdentifier":"250","nameIdentifierScheme":"九工大研究者情報","nameIdentifierURI":"https://hyokadb02.jimu.kyutech.ac.jp/html/250_ja.html"}],"names":[{"name":"Takahashi, Kin'ya","nameLang":"en"},{"name":"高橋, 公也","nameLang":"ja"},{"name":"タカハシ, キンヤ","nameLang":"ja-Kana"}]},{"nameIdentifiers":[{"nameIdentifier":"26045","nameIdentifierScheme":"WEKO"}],"names":[{"name":"Kobayashi,  T.","nameLang":"en"}]}]},"item_21_link_62":{"attribute_name":"研究者情報","attribute_value_mlt":[{"subitem_link_url":"https://hyokadb02.jimu.kyutech.ac.jp/html/250_ja.html"}]},"item_21_publisher_7":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"日本物理学会"}]},"item_21_relation_12":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"info:doi/10.7566/JPSJ.88.024002","subitem_relation_type_select":"DOI"}}]},"item_21_relation_14":{"attribute_name":"情報源","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://doi.org/10.7566/JPSJ.88.024002"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.7566/JPSJ.88.024002","subitem_relation_type_select":"DOI"}}]},"item_21_relation_66":{"attribute_name":"論文ID（NAID）","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"210000135086","subitem_relation_type_select":"NAID"}}]},"item_21_rights_13":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Copyright (c) 2019 The Physical Society of Japan"}]},"item_21_select_59":{"attribute_name":"査読の有無","attribute_value_mlt":[{"subitem_select_item":"yes"}]},"item_21_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00704814","subitem_source_identifier_type":"NCID"}]},"item_21_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1347-4073","subitem_source_identifier_type":"EISSN"},{"subitem_source_identifier":"0031-9015","subitem_source_identifier_type":"PISSN"}]},"item_21_subject_16":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"548","subitem_subject_scheme":"NDC"}]},"item_21_text_28":{"attribute_name":"論文ID（連携）","attribute_value_mlt":[{"subitem_text_value":"10333901"}]},"item_21_text_36":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Physics and Information Technology, Kyushu Institute of Technology, Iizuka, Fukuoka 820-8502, Japan"},{"subitem_text_value":"Faculty of Fukuoka Medical Technology, Teikyo University, Omuta, Fukuoka 836-8505, Japan, Research Institute for Information Technology, Kyushu University, Fukuoka 819-0395, Japan"}]},"item_21_text_63":{"attribute_name":"連携ID","attribute_value_mlt":[{"subitem_text_value":"7510"}]},"item_21_version_type_58":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[],"affiliationNames":[{"affiliationName":""}]}],"creatorNames":[{"creatorName":"Takahashi, Kin'ya","creatorNameLang":"en"},{"creatorName":"高橋, 公也","creatorNameLang":"ja"},{"creatorName":"タカハシ, キンヤ","creatorNameLang":"ja-Kana"}],"familyNames":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{},{},{},{}]},{"creatorNames":[{"creatorName":"Kobayashi,  Taizo","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-01-10"}],"displaytype":"detail","filename":"10333901.pdf","filesize":[{"value":"12.7 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"10333901.pdf","url":"https://kyutech.repo.nii.ac.jp/record/6313/files/10333901.pdf"},"version_id":"2b562ac3-1129-459b-8f5d-17a2502a0b56"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"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":"Mode Selection Rules and Bifurcation Diagrams for Two-Delay Systems: Underlying Mechanism Controlled by Embedded Multidimensional Maps","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Mode Selection Rules and Bifurcation Diagrams for Two-Delay Systems: Underlying Mechanism Controlled by Embedded Multidimensional Maps","subitem_title_language":"en"}]},"item_type_id":"21","owner":"3","path":["24"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2020-01-10"},"publish_date":"2020-01-10","publish_status":"0","recid":"6313","relation_version_is_last":true,"title":["Mode Selection Rules and Bifurcation Diagrams for Two-Delay Systems: Underlying Mechanism Controlled by Embedded Multidimensional Maps"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-10-25T09:13:48.695008+00:00"}