{"id":"https://openalex.org/W2053663078","doi":"https://doi.org/10.1142/s021812740200542x","title":"BIFURCATION, BURSTING AND SPIKE GENERATION IN A NEURAL MODEL","display_name":"BIFURCATION, BURSTING AND SPIKE GENERATION IN A NEURAL MODEL","publication_year":2002,"publication_date":"2002-08-01","ids":{"openalex":"https://openalex.org/W2053663078","doi":"https://doi.org/10.1142/s021812740200542x","mag":"2053663078"},"language":"en","primary_location":{"id":"doi:10.1142/s021812740200542x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740200542x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","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/A5067569718","display_name":"W. Govaerts","orcid":"https://orcid.org/0000-0002-1081-6252"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"W. GOVAERTS","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281-S9, B-9000 Gent, Belgium","Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281-S9, B 9000 Gent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281-S9, B-9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281-S9, B 9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023454427","display_name":"Annick Dhooge","orcid":null},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"A. DHOOGE","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281-S9, B-9000 Gent, Belgium","Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281-S9, B 9000 Gent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281-S9, B-9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281-S9, B 9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067569718"],"corresponding_institution_ids":["https://openalex.org/I32597200"],"apc_list":null,"apc_paid":null,"fwci":0.2682,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.57551628,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"12","issue":"08","first_page":"1731","last_page":"1741"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9990000128746033,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bursting","display_name":"Bursting","score":0.9788841009140015},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.7864980697631836},{"id":"https://openalex.org/keywords/spike","display_name":"Spike (software development)","score":0.565776526927948},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.4651789367198944},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.45074278116226196},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.4389338493347168},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.42261773347854614},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3994384706020355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32796838879585266},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26752179861068726},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.26202666759490967},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19474831223487854},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.13530904054641724},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11856025457382202},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.05961853265762329}],"concepts":[{"id":"https://openalex.org/C195221683","wikidata":"https://www.wikidata.org/wiki/Q5000649","display_name":"Bursting","level":2,"score":0.9788841009140015},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.7864980697631836},{"id":"https://openalex.org/C2781390188","wikidata":"https://www.wikidata.org/wiki/Q25203449","display_name":"Spike (software development)","level":2,"score":0.565776526927948},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.4651789367198944},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.45074278116226196},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.4389338493347168},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42261773347854614},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3994384706020355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32796838879585266},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26752179861068726},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.26202666759490967},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19474831223487854},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.13530904054641724},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11856025457382202},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.05961853265762329},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s021812740200542x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021812740200542x","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:archive.ugent.be:161893","is_oa":false,"landing_page_url":"http://hdl.handle.net/1854/LU-161893","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0218-1274","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:archive.ugent.be:8762611","is_oa":false,"landing_page_url":"http://hdl.handle.net/1854/LU-8762611","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS","raw_type":"journalArticle"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8600000143051147,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1560335986","https://openalex.org/W1589030920","https://openalex.org/W1606432814","https://openalex.org/W1964294610","https://openalex.org/W1968190185","https://openalex.org/W1971172371","https://openalex.org/W1971657654","https://openalex.org/W1978208912","https://openalex.org/W1985940938","https://openalex.org/W1999170261","https://openalex.org/W2006858453","https://openalex.org/W2025973190","https://openalex.org/W2031166897","https://openalex.org/W2038781735","https://openalex.org/W2072413244","https://openalex.org/W2119443761","https://openalex.org/W2121668620","https://openalex.org/W2138704896","https://openalex.org/W2159279446","https://openalex.org/W2163010909","https://openalex.org/W4246199626"],"related_works":["https://openalex.org/W1992869298","https://openalex.org/W2945661693","https://openalex.org/W1964110685","https://openalex.org/W2167765568","https://openalex.org/W1974746776","https://openalex.org/W2058074954","https://openalex.org/W3171457425","https://openalex.org/W2053663078","https://openalex.org/W2035591601","https://openalex.org/W3191121506"],"abstract_inverted_index":{"Bursting":[0],"is":[1,14,135,160],"an":[2],"important":[3,139],"behavior":[4,51,64],"pattern":[5],"of":[6,22,27,41,44,56,71,84,92,100,103,114,128,142,166],"nerve":[7],"cells":[8],"and":[9,24],"in":[10,52,117,148,168],"mathematical":[11],"models":[12],"it":[13],"often":[15],"related":[16,96],"to":[17,97,110,154],"bifurcations.":[18],"However,":[19],"the":[20,25,63,90,101,104,112,130,137,149,164],"onset":[21],"bursting":[23,50,105],"birth":[26,113],"new":[28],"spikes":[29,75,93,115,167],"are":[30,76,82],"also":[31,116],"possible":[32],"without":[33],"any":[34],"bifurcation.":[35],"We":[36,145],"present":[37],"a":[38,42,48,53,69,125,143,169],"numerical":[39],"study":[40],"model":[43,151],"Plant":[45,150],"which":[46],"exhibits":[47],"periodically":[49],"relevant":[54],"range":[55,62],"two":[57],"parameters.":[58],"In":[59],"this":[60,158],"two-dimensional":[61],"changes":[65],"continuously,":[66],"except":[67],"for":[68],"number":[70,165],"tiny":[72],"regions":[73,119],"where":[74,120],"born":[77],"or":[78],"die.":[79],"These":[80],"islands":[81],"extensions":[83],"bifurcation":[85],"islands.":[86],"It":[87],"appears":[88],"that":[89,147],"generation":[91],"can":[94],"be":[95],"local":[98],"extrema":[99],"periods":[102],"periodic":[106],"orbits.":[107],"This":[108],"allows":[109],"detect":[111],"parameter":[118],"no":[121],"bifurcations":[122],"occur.":[123],"From":[124],"biological":[126],"point":[127],"view":[129],"average":[131],"instantaneous":[132],"spike":[133],"frequency":[134,159],"probably":[136],"most":[138],"output":[140],"variable":[141],"neuron.":[144],"show":[146],"(in":[152],"contrast":[153],"some":[155],"other":[156],"models)":[157],"essentially":[161],"determined":[162],"by":[163],"burst.":[170]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}