{"created":"2024-10-28T06:18:51.276190+00:00","id":2005283,"links":{},"metadata":{"_buckets":{"deposit":"e333a4a0-55fd-49ae-b5ef-a28b2f4e269a"},"_deposit":{"created_by":7,"id":"2005283","owners":[7],"pid":{"revision_id":0,"type":"depid","value":"2005283"},"status":"published"},"_oai":{"id":"oai:tokushima-u.repo.nii.ac.jp:02005283","sets":["1713853213384:1713853295607"]},"author_link":["98"],"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-03","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageStart":"1630006","bibliographicVolumeNumber":"26","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":"The Nagumo-Sato model is a simple mathematical expression of a single neuron, and it is categorized as a discrete-time hybrid dynamical system. To compute bifurcation sets in such a discrete-time hybrid dynamical system accurately, conditions for periodic solutions and bifurcations are formulated herewith as a boundary value problem, and Newton's method is implemented to solve that problem. As the results of the analysis, the following properties are obtained: border-collision bifurcations play a dominant role in dynamical behavior of the model; chaotic regions are distinguished by tangent bifurcations; and multi-stable attractors are observed in its coupled system. We demonstrate several bifurcation diagrams and corresponding topological properties of periodic solutions.","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. 26, No. 3, 2015, 1630006, DOI: 10.1142/S0218127416300068 © 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 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Daisuke","creatorNameLang":"en"}]},{"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 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MB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tokushima-u.repo.nii.ac.jp/record/2005283/files/ijbc_26_3_1630006.pdf"},"version_id":"b023cf47-c540-48b7-8ef6-a4eef37da26a"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Discrete-time hybrid dynamical system","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Nagumo–Sato model","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"border-collision 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":"Bifurcation Analysis of the Nagumo–Sato Model and Its Coupled 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