{"created":"2023-06-20T15:28:27.858022+00:00","id":7537,"links":{},"metadata":{"_buckets":{"deposit":"1929bbfa-edfc-487e-aef9-864044e76fa4"},"_deposit":{"created_by":3,"id":"7537","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"7537"},"status":"published"},"_oai":{"id":"oai:ouj.repo.nii.ac.jp:00007537","sets":["470:394:437"]},"author_link":["9601","9603","9600","9602"],"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2010-03-23","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"137","bibliographicPageStart":"127","bibliographicVolumeNumber":"27","bibliographic_titles":[{"bibliographic_title":"放送大学研究年報"},{"bibliographic_title":"Journal of the Open University of Japan","bibliographic_titleLang":"en"}]}]},"item_10002_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"　近年、人間の社会、経済活動範囲の拡張に伴い、それらを支える人工システムを始めとして、あらゆる方面のシステムが飛躍的に拡大している。ネットワークはシステムの成長拡大を支えるのに不可欠な要素である。その構造はシステムの機能を安定的に発揮するのに適していることが重要である。本研究はネットワークの構造とその平衡特性の関係を解析的に知ることを目的としたものである。多方面のシステムに適用可能な動的挙動モデルとして調和関数型の漸化式モデルを設定し、各種ネットワーク構造の平衡特性を解析した。グラフ構造は隣接行列を用いて表される。その隣接行列と次数行列から導かれる行列の固有値とモデル式に用いる感度係数によって平衡特性が決まることを示した。理論的解析研究に加え、頂点数最大500規模の道、2次元格子、3次元格子およびハイパキューブなど代表的グラフ構造によるサンプルネットワークについて、各種行列の固有値計算と、突発外乱からの平衡動作およびゆらぎのシミュレーションを行い、理論解析により得られた結果とおおむね合致することを確認した。この関係を用いれば、ネットワークの平衡特性を評価し、その構造改変により特性改善や最適化をはかることが可能である。","subitem_description_type":"Abstract"}]},"item_10002_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN10019636","subitem_source_identifier_type":"NCID"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0911-4505","subitem_source_identifier_type":"ISSN"}]},"item_10002_textarea_25":{"attribute_name":"抄録（英）","attribute_value_mlt":[{"subitem_textarea_language":"en","subitem_textarea_value":"　During recent decades, according to the extension of the social and economic activities, the systems utilized to support these human activities and other all kind of ones has been expanding. The network is an essential part of system to its expansion. The network structure is demanded to fit for display of system functions. In this paper a method to analyze the relationship between graph structure and equilibrium characteristic of networks are discussed. The equilibrium characteristic is one of the important factors for networks and depends on the graph structure of network. As a common model formula applicable to all kind of systems, we introduce a harmonic function type formula to explain the dynamic behavior of network, and analyze the equilibrium characteritic on networks of several graph structure. The graph structure is explained using the adjacency rnatrix. We show that the equilibrium characteristic depends on the eigenvalues of matrix formed of the adjacency matrix, the degree matrix introduced from the adjacency matrix and the coefficient of sensitivity. In addition, computer simulations of equilibrium behavior in cases of network disturbances and continuous fluctuations on sample networks of up to 500 nodes are carried to verify the results of the analytic studies. Using this relationship, it is possible to evaluate, improve and optimize the equilibrium characteristic of a network by controlling the graph structure."}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"山本, 將人"},{"creatorName":"ヤマモト, マサト","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"9600","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"熊原, 啓作"},{"creatorName":"クマハラ, ケイサク","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"9601","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Yamamoto, Masato","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"9602","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Kumahara, Keisaku","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"9603","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2013-06-14"}],"displaytype":"detail","filename":"27-10.pdf","filesize":[{"value":"1.4 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"27-10","url":"https://ouj.repo.nii.ac.jp/record/7537/files/27-10.pdf"},"version_id":"ca53dd8f-f6ee-456a-9853-b8ed5657a22f"}]},"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":"固有値によるネットワークシステムの平衡特性解析","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"固有値によるネットワークシステムの平衡特性解析"},{"subitem_title":"Equilibrium Characteristic Analysis on Network Systems using Eigenvalue","subitem_title_language":"en"}]},"item_type_id":"10002","owner":"3","path":["437"],"pubdate":{"attribute_name":"公開日","attribute_value":"2013-06-14"},"publish_date":"2013-06-14","publish_status":"0","recid":"7537","relation_version_is_last":true,"title":["固有値によるネットワークシステムの平衡特性解析"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-06-20T16:19:28.497571+00:00"}