{"id":"https://openalex.org/W1562189113","doi":"https://doi.org/10.1007/978-3-540-30132-5_131","title":"Analysis of Limit-Cycles on Neural Networks with Asymmetrical Cyclic Connections Using Approximately Activation Functions","display_name":"Analysis of Limit-Cycles on Neural Networks with Asymmetrical Cyclic Connections Using Approximately Activation Functions","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1562189113","doi":"https://doi.org/10.1007/978-3-540-30132-5_131","mag":"1562189113"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-30132-5_131","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-30132-5_131","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008247348","display_name":"Shinya Suenaga","orcid":null},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]},{"id":"https://openalex.org/I4210125833","display_name":"Spintronics Research Network of Japan","ror":"https://ror.org/03bbyax37","country_code":"JP","type":"facility","lineage":["https://openalex.org/I201537933","https://openalex.org/I203951103","https://openalex.org/I4210125833","https://openalex.org/I74801974","https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shinya Suenaga","raw_affiliation_strings":["Laboratory for Brainware Systems, Laboratory for Nanoelectronics and Spintronics, Research Institute of Electrical Communication, Tohoku University, Katahira 2-1-1, Aobaku, Sendai, 980-8577, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Brainware Systems, Laboratory for Nanoelectronics and Spintronics, Research Institute of Electrical Communication, Tohoku University, Katahira 2-1-1, Aobaku, Sendai, 980-8577, Japan","institution_ids":["https://openalex.org/I201537933","https://openalex.org/I4210125833"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yoshihiro Hayakawa","orcid":null},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]},{"id":"https://openalex.org/I4210125833","display_name":"Spintronics Research Network of Japan","ror":"https://ror.org/03bbyax37","country_code":"JP","type":"facility","lineage":["https://openalex.org/I201537933","https://openalex.org/I203951103","https://openalex.org/I4210125833","https://openalex.org/I74801974","https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshihiro Hayakawa","raw_affiliation_strings":["Laboratory for Brainware Systems, Laboratory for Nanoelectronics and Spintronics, Research Institute of Electrical Communication, Tohoku University, Katahira 2-1-1, Aobaku, Sendai, 980-8577, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Brainware Systems, Laboratory for Nanoelectronics and Spintronics, Research Institute of Electrical Communication, Tohoku University, Katahira 2-1-1, Aobaku, Sendai, 980-8577, Japan","institution_ids":["https://openalex.org/I201537933","https://openalex.org/I4210125833"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054312440","display_name":"Koji Nakajima","orcid":"https://orcid.org/0000-0002-0016-5361"},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]},{"id":"https://openalex.org/I4210125833","display_name":"Spintronics Research Network of Japan","ror":"https://ror.org/03bbyax37","country_code":"JP","type":"facility","lineage":["https://openalex.org/I201537933","https://openalex.org/I203951103","https://openalex.org/I4210125833","https://openalex.org/I74801974","https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Koji Nakajima","raw_affiliation_strings":["Laboratory for Brainware Systems, Laboratory for Nanoelectronics and Spintronics, Research Institute of Electrical Communication, Tohoku University, Katahira 2-1-1, Aobaku, Sendai, 980-8577, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Brainware Systems, Laboratory for Nanoelectronics and Spintronics, Research Institute of Electrical Communication, Tohoku University, Katahira 2-1-1, Aobaku, Sendai, 980-8577, Japan","institution_ids":["https://openalex.org/I201537933","https://openalex.org/I4210125833"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0796231,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"974","last_page":"980"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.8430999517440796},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.6473478674888611},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5421338081359863},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5339934229850769},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5213931202888489},{"id":"https://openalex.org/keywords/activation-function","display_name":"Activation function","score":0.4844091534614563},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47682446241378784},{"id":"https://openalex.org/keywords/describing-function","display_name":"Describing function","score":0.47296446561813354},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.46523967385292053},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4593326151371002},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4565259516239166},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.349963903427124},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30444565415382385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2960827052593231},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10781493782997131},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07935464382171631},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0773114562034607},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.053511232137680054}],"concepts":[{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.8430999517440796},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.6473478674888611},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5421338081359863},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5339934229850769},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5213931202888489},{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.4844091534614563},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47682446241378784},{"id":"https://openalex.org/C147317941","wikidata":"https://www.wikidata.org/wiki/Q1925419","display_name":"Describing function","level":3,"score":0.47296446561813354},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.46523967385292053},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4593326151371002},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4565259516239166},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.349963903427124},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30444565415382385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2960827052593231},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10781493782997131},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07935464382171631},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0773114562034607},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.053511232137680054},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-30132-5_131","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-30132-5_131","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1534112425","https://openalex.org/W1977106683","https://openalex.org/W2057635365","https://openalex.org/W2122467996","https://openalex.org/W2124619121"],"related_works":["https://openalex.org/W2051439117","https://openalex.org/W2564887547","https://openalex.org/W2048494080","https://openalex.org/W4388297534","https://openalex.org/W2128719156","https://openalex.org/W1673883441","https://openalex.org/W2083477739","https://openalex.org/W1599507083","https://openalex.org/W4248124207","https://openalex.org/W2089966216"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
