{"id":"https://openalex.org/W1507499830","doi":"https://doi.org/10.1007/978-3-540-74690-4_86","title":"Dynamics of Discrete-Time Quaternionic Hopfield Neural Networks","display_name":"Dynamics of Discrete-Time Quaternionic Hopfield Neural Networks","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1507499830","doi":"https://doi.org/10.1007/978-3-540-74690-4_86","mag":"1507499830"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-74690-4_86","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-74690-4_86","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/A5014209466","display_name":"Teijiro Isokawa","orcid":"https://orcid.org/0000-0001-6503-5907"},"institutions":[{"id":"https://openalex.org/I180941496","display_name":"University of Hyogo","ror":"https://ror.org/0151bmh98","country_code":"JP","type":"education","lineage":["https://openalex.org/I180941496"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Teijiro Isokawa","raw_affiliation_strings":["Division of Computer Engineering, Graduate School of Engineering, University of Hyogo, Japan","Division of Computer Engineering., Graduate School of Engineering, University of Hyogo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Computer Engineering, Graduate School of Engineering, University of Hyogo, Japan","institution_ids":["https://openalex.org/I180941496"]},{"raw_affiliation_string":"Division of Computer Engineering., Graduate School of Engineering, University of Hyogo, Japan","institution_ids":["https://openalex.org/I180941496"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022478812","display_name":"H. Nishimura","orcid":"https://orcid.org/0000-0003-1572-6747"},"institutions":[{"id":"https://openalex.org/I180941496","display_name":"University of Hyogo","ror":"https://ror.org/0151bmh98","country_code":"JP","type":"education","lineage":["https://openalex.org/I180941496"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Haruhiko Nishimura","raw_affiliation_strings":["Graduate School of Applied Informatics, University of Hyogo, Japan","Graduate School of Applied Informatics , University of Hyogo , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Applied Informatics, University of Hyogo, Japan","institution_ids":["https://openalex.org/I180941496"]},{"raw_affiliation_string":"Graduate School of Applied Informatics , University of Hyogo , Japan","institution_ids":["https://openalex.org/I180941496"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001915732","display_name":"Naotake Kamiura","orcid":"https://orcid.org/0000-0001-7388-7624"},"institutions":[{"id":"https://openalex.org/I180941496","display_name":"University of Hyogo","ror":"https://ror.org/0151bmh98","country_code":"JP","type":"education","lineage":["https://openalex.org/I180941496"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Naotake Kamiura","raw_affiliation_strings":["Division of Computer Engineering, Graduate School of Engineering, University of Hyogo, Japan","Division of Computer Engineering., Graduate School of Engineering, University of Hyogo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Computer Engineering, Graduate School of Engineering, University of Hyogo, Japan","institution_ids":["https://openalex.org/I180941496"]},{"raw_affiliation_string":"Division of Computer Engineering., Graduate School of Engineering, University of Hyogo, Japan","institution_ids":["https://openalex.org/I180941496"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016517866","display_name":"Nobuyuki Matsui","orcid":"https://orcid.org/0000-0002-6145-6461"},"institutions":[{"id":"https://openalex.org/I180941496","display_name":"University of Hyogo","ror":"https://ror.org/0151bmh98","country_code":"JP","type":"education","lineage":["https://openalex.org/I180941496"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Nobuyuki Matsui","raw_affiliation_strings":["Division of Computer Engineering, Graduate School of Engineering, University of Hyogo, Japan","Division of Computer Engineering., Graduate School of Engineering, University of Hyogo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Computer Engineering, Graduate School of Engineering, University of Hyogo, Japan","institution_ids":["https://openalex.org/I180941496"]},{"raw_affiliation_string":"Division of Computer Engineering., Graduate School of Engineering, University of Hyogo, Japan","institution_ids":["https://openalex.org/I180941496"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I180941496"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"848","last_page":"857"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9830999970436096,"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/T13261","display_name":"Elasticity and Wave Propagation","score":0.9477999806404114,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hypercomplex-number","display_name":"Hypercomplex number","score":0.8075799942016602},{"id":"https://openalex.org/keywords/hopfield-network","display_name":"Hopfield network","score":0.7187609672546387},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.693396270275116},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6339550614356995},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.591759204864502},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5162951350212097},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.48997464776039124},{"id":"https://openalex.org/keywords/activation-function","display_name":"Activation function","score":0.48777681589126587},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4762665927410126},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.45500704646110535},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33108407258987427},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2973422110080719},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28725168108940125},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27269530296325684},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10190588235855103},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08244907855987549},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06458589434623718}],"concepts":[{"id":"https://openalex.org/C203249530","wikidata":"https://www.wikidata.org/wiki/Q837414","display_name":"Hypercomplex number","level":3,"score":0.8075799942016602},{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.7187609672546387},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.693396270275116},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6339550614356995},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.591759204864502},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5162951350212097},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.48997464776039124},{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.48777681589126587},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4762665927410126},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.45500704646110535},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33108407258987427},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2973422110080719},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28725168108940125},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27269530296325684},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10190588235855103},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08244907855987549},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06458589434623718},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-74690-4_86","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-74690-4_86","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":10,"referenced_works":["https://openalex.org/W1700035086","https://openalex.org/W2013806659","https://openalex.org/W2030147677","https://openalex.org/W2043549195","https://openalex.org/W2135858797","https://openalex.org/W2169764355","https://openalex.org/W2277453855","https://openalex.org/W3217515490","https://openalex.org/W4285719527","https://openalex.org/W4319588361"],"related_works":["https://openalex.org/W2916518000","https://openalex.org/W2916498667","https://openalex.org/W2917906954","https://openalex.org/W2572893131","https://openalex.org/W2917330019","https://openalex.org/W2917006597","https://openalex.org/W2916884673","https://openalex.org/W2423267406","https://openalex.org/W1897251165","https://openalex.org/W2020324309"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}