{"id":"https://openalex.org/W1985200418","doi":"https://doi.org/10.1016/s0893-6080(98)00106-3","title":"Purkinje local circuits with delays: mathematical conditions of stability for learning and retrieval","display_name":"Purkinje local circuits with delays: mathematical conditions of stability for learning and retrieval","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W1985200418","doi":"https://doi.org/10.1016/s0893-6080(98)00106-3","mag":"1985200418","pmid":"https://pubmed.ncbi.nlm.nih.gov/12662717"},"language":"en","primary_location":{"id":"doi:10.1016/s0893-6080(98)00106-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-6080(98)00106-3","pdf_url":null,"source":{"id":"https://openalex.org/S123019304","display_name":"Neural Networks","issn_l":"0893-6080","issn":["0893-6080","1879-2782"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Networks","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5008040266","display_name":"Pierre Chauvet","orcid":"https://orcid.org/0000-0002-3843-5179"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"P. Chauvet","raw_affiliation_strings":["Institut de Math\u00e9matiques Appliqu\u00e9es, UCO, Angers, France"],"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques Appliqu\u00e9es, UCO, Angers, France","institution_ids":["https://openalex.org/I4210155549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113555181","display_name":"G.A. Chauvet","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]},{"id":"https://openalex.org/I49451733","display_name":"Universit\u00e9 d'Angers","ror":"https://ror.org/04yrqp957","country_code":"FR","type":"education","lineage":["https://openalex.org/I49451733"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"G.A. Chauvet","raw_affiliation_strings":["IBT, Universit\u00e9 d'Angers, 49100 Angers, France","Department of Biomedical Engineering, University of Southern California, Los Angeles, CA 90089, USA"],"affiliations":[{"raw_affiliation_string":"IBT, Universit\u00e9 d'Angers, 49100 Angers, France","institution_ids":["https://openalex.org/I49451733"]},{"raw_affiliation_string":"Department of Biomedical Engineering, University of Southern California, Los Angeles, CA 90089, USA","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008040266"],"corresponding_institution_ids":["https://openalex.org/I4210155549"],"apc_list":{"value":3350,"currency":"USD","value_usd":3350},"apc_paid":null,"fwci":0.1647,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.44969024,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":"1","first_page":"59","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10077","display_name":"Neuroscience and Neuropharmacology Research","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10691","display_name":"Retinal Development and Disorders","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6278910636901855},{"id":"https://openalex.org/keywords/purkinje-cell","display_name":"Purkinje cell","score":0.6103026270866394},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5581628084182739},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.4450821876525879},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.4437094032764435},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42445114254951477},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37994059920310974},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29202812910079956},{"id":"https://openalex.org/keywords/cerebellum","display_name":"Cerebellum","score":0.26319342851638794},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23196673393249512},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.19034218788146973},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10698649287223816},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07719859480857849}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6278910636901855},{"id":"https://openalex.org/C2778472085","wikidata":"https://www.wikidata.org/wiki/Q1570272","display_name":"Purkinje cell","level":3,"score":0.6103026270866394},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5581628084182739},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.4450821876525879},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.4437094032764435},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42445114254951477},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37994059920310974},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29202812910079956},{"id":"https://openalex.org/C2779652256","wikidata":"https://www.wikidata.org/wiki/Q130983","display_name":"Cerebellum","level":2,"score":0.26319342851638794},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23196673393249512},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.19034218788146973},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10698649287223816},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07719859480857849},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0893-6080(98)00106-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-6080(98)00106-3","pdf_url":null,"source":{"id":"https://openalex.org/S123019304","display_name":"Neural Networks","issn_l":"0893-6080","issn":["0893-6080","1879-2782"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Networks","raw_type":"journal-article"},{"id":"pmid:12662717","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/12662717","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural networks : the official journal of the International Neural Network Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W78954769","https://openalex.org/W143324445","https://openalex.org/W804490224","https://openalex.org/W1488377224","https://openalex.org/W1512833626","https://openalex.org/W1555031400","https://openalex.org/W1964625716","https://openalex.org/W1977192242","https://openalex.org/W1977197990","https://openalex.org/W1981906568","https://openalex.org/W1986230755","https://openalex.org/W1987795693","https://openalex.org/W2009927339","https://openalex.org/W2012368771","https://openalex.org/W2018753175","https://openalex.org/W2042345883","https://openalex.org/W2043191176","https://openalex.org/W2043309779","https://openalex.org/W2050865596","https://openalex.org/W2054525629","https://openalex.org/W2055606008","https://openalex.org/W2059148040","https://openalex.org/W2060054159","https://openalex.org/W2067067385","https://openalex.org/W2068971750","https://openalex.org/W2069759394","https://openalex.org/W2071521172","https://openalex.org/W2072365940","https://openalex.org/W2073416902","https://openalex.org/W2073428777","https://openalex.org/W2076845962","https://openalex.org/W2091679668","https://openalex.org/W2091954631","https://openalex.org/W2097767902","https://openalex.org/W2103019454","https://openalex.org/W2104454795","https://openalex.org/W2105950918","https://openalex.org/W2113364987","https://openalex.org/W2115763425","https://openalex.org/W2134181557","https://openalex.org/W2136599346","https://openalex.org/W2142592520","https://openalex.org/W2155051950","https://openalex.org/W2170714562","https://openalex.org/W2260229332","https://openalex.org/W2277720287","https://openalex.org/W2407813368","https://openalex.org/W3201564700","https://openalex.org/W4205578875","https://openalex.org/W4252258549","https://openalex.org/W4252504102","https://openalex.org/W6605815232","https://openalex.org/W6622856531","https://openalex.org/W6629315597","https://openalex.org/W7023726515"],"related_works":["https://openalex.org/W2000339987","https://openalex.org/W2031964842","https://openalex.org/W2990680567","https://openalex.org/W2972665307","https://openalex.org/W2386513265","https://openalex.org/W2119898206","https://openalex.org/W2075325963","https://openalex.org/W2095482790","https://openalex.org/W2951118306","https://openalex.org/W2167560779"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}