{"created":"2024-10-28T06:14:37.932830+00:00","id":2005224,"links":{},"metadata":{"_buckets":{"deposit":"a3466aea-d713-44e8-9940-c7635be84777"},"_deposit":{"created_by":7,"id":"2005224","owners":[7],"pid":{"revision_id":0,"type":"depid","value":"2005224"},"status":"published"},"_oai":{"id":"oai:tokushima-u.repo.nii.ac.jp:02005224","sets":["1713853213384:1713853295607"]},"author_link":["98"],"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2015-12-15","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"13","bibliographicPageStart":"1550185","bibliographicVolumeNumber":"25","bibliographic_titles":[{"bibliographic_title":"International Journal of Bifurcation and Chaos","bibliographic_titleLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We propose a resilient control scheme to avoid catastrophic transitions associated with saddle-node bifurcations of periodic solutions. The conventional feedback control schemes related to controlling chaos can stabilize unstable periodic orbits embedded in strange attractors or suppress bifurcations such as period-doubling and Neimark-Sacker bifurcations whose periodic orbits are kept existing through bifurcation processes. However, it is impossible to apply these methods directly to a saddle-node bifurcation since the corresponding periodic orbit disappears after such a bifurcation. In this paper, we define a pseudo periodic orbit which can be obtained using transient behavior right after the saddle-node bifurcation, and utilize it as reference data to compose a control input. We consider a pseudo periodic orbit at a saddle-node bifurcation in the Duffing equations as an example, and show its temporary attraction. Then we demonstrate suppression control of this bifurcation, and show robustness of the control. As a laboratory experiment, a saddle-node bifurcation of limit cycles in the BVP oscillator is explored. A control input generated by a pseudo periodic obit can restore a stable limit cycle which disappeared after the saddle-node bifurcation.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10001_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"World Scientific","subitem_publisher_language":"en"}]},"item_10001_rights_15":{"attribute_name":"権利情報","attribute_value_mlt":[{"subitem_rights":"Electronic version of an article published as International Journal of Bifurcation and Chaos Vol. 25, No. 13, 2015, 1550185, DOI: 10.1142/S0218127415501850 © World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ijbc","subitem_rights_language":"en"}]},"item_10001_source_id_9":{"attribute_name":"収録物ID","attribute_value_mlt":[{"subitem_source_identifier":"02181274","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"17936551","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"AA10810319","subitem_source_identifier_type":"NCID"}]},"item_10001_version_type_20":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_1715043197608":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access"}]},"item_1722929371688":{"attribute_name":"出版社版DOI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"10.1142/S0218127415501850"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1142/S0218127415501850","subitem_relation_type_select":"DOI"}}]},"item_1723180141928":{"attribute_name":"EID","attribute_value_mlt":[{"subitem_identifier_type":"URI","subitem_identifier_uri":"296427"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"","affiliationNameIdentifierScheme":"ISNI","affiliationNameIdentifierURI":"http://www.isni.org/isni/"}],"affiliationNames":[{"affiliationName":"","affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"上田, 哲史","creatorNameLang":"ja"},{"creatorName":"ウエタ, テツシ","creatorNameLang":"ja-Kana"},{"creatorName":"Ueta, Tetsushi","creatorNameLang":"en"}],"familyNames":[{"familyName":"上田","familyNameLang":"ja"},{"familyName":"ウエタ","familyNameLang":"ja-Kana"},{"familyName":"Ueta","familyNameLang":"en"}],"givenNames":[{"givenName":"哲史","givenNameLang":"ja"},{"givenName":"テツシ","givenNameLang":"ja-Kana"},{"givenName":"Tetsushi","givenNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"98","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"10746/profile-ja.html","nameIdentifierScheme":"徳島大学 教育研究者総覧","nameIdentifierURI":"http://pub2.db.tokushima-u.ac.jp/ERD/person/10746/profile-ja.html"},{"nameIdentifier":"00243733","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/search/?qm=00243733"}]},{"creatorNames":[{"creatorName":"伊藤, 大輔","creatorNameLang":"ja"},{"creatorName":"イトウ, ダイスケ","creatorNameLang":"ja-Kana"},{"creatorName":"Ito, Daisuke","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"合原, 一幸","creatorNameLang":"ja"},{"creatorName":"アイハラ, カズユキ","creatorNameLang":"ja-Kana"},{"creatorName":"Aihara, Kazuyuki","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":"2018-08-17"}],"displaytype":"detail","filename":"ijbc_25_13_1550185.pdf","filesize":[{"value":"3.55 MB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tokushima-u.repo.nii.ac.jp/record/2005224/files/ijbc_25_13_1550185.pdf"},"version_id":"e59690a9-ba63-41d2-a1a9-5e7aed4c0bb7"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Catastrophic transition","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"saddle-node bifurcation","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"unstable periodic orbit","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"pseudo periodic orbit","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"suppression of bifurcation","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"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":"Can a Pseudo Periodic Orbit Avoid a Catastrophic Transition?","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Can a Pseudo Periodic Orbit Avoid a Catastrophic Transition?","subitem_title_language":"en"}]},"item_type_id":"40001","owner":"7","path":["1713853295607"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2018-08-17"},"publish_date":"2018-08-17","publish_status":"0","recid":"2005224","relation_version_is_last":true,"title":["Can a Pseudo Periodic Orbit Avoid a Catastrophic Transition?"],"weko_creator_id":"7","weko_shared_id":-1},"updated":"2025-02-10T06:01:45.442326+00:00"}