{"id":"https://openalex.org/W2165541293","doi":"https://doi.org/10.1016/s0925-2312(02)00342-9","title":"Analytical determination of firing times in stochastic nonlinear neural models","display_name":"Analytical determination of firing times in stochastic nonlinear neural models","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W2165541293","doi":"https://doi.org/10.1016/s0925-2312(02)00342-9","mag":"2165541293"},"language":"en","primary_location":{"id":"doi:10.1016/s0925-2312(02)00342-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0925-2312(02)00342-9","pdf_url":null,"source":{"id":"https://openalex.org/S45693802","display_name":"Neurocomputing","issn_l":"0925-2312","issn":["0925-2312","1872-8286"],"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":"Neurocomputing","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/A5029982474","display_name":"Henry C. Tuckwell","orcid":null},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]},{"id":"https://openalex.org/I2800939219","display_name":"RIKEN Center for Brain Science","ror":"https://ror.org/04j1n1c04","country_code":"JP","type":"facility","lineage":["https://openalex.org/I2800939219","https://openalex.org/I4210110652"]}],"countries":["JP","US"],"is_corresponding":true,"raw_author_name":"Henry C Tuckwell","raw_affiliation_strings":["Department of Mathematics, University of California, Irvine, CA 92697, USA","Visual Neurocomputing, Riken Brain Science Institute, Saitama 351-0198, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Irvine, CA 92697, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"Visual Neurocomputing, Riken Brain Science Institute, Saitama 351-0198, Japan","institution_ids":["https://openalex.org/I2800939219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081316629","display_name":"Frederic Y. M. Wan","orcid":"https://orcid.org/0000-0002-5184-1227"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Frederic Y.M Wan","raw_affiliation_strings":["Department of Mathematics, University of California, Irvine, CA 92697, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Irvine, CA 92697, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103537421","display_name":"Roger Rodriguez","orcid":null},"institutions":[{"id":"https://openalex.org/I4210160215","display_name":"Centre de Physique Th\u00e9orique","ror":"https://ror.org/052bbtn31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210098836","https://openalex.org/I4210160215"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Roger Rodriguez","raw_affiliation_strings":["Centre de Physique Th\u00e9orique, CNRS, F13288 Marseille Cedex 9, France"],"affiliations":[{"raw_affiliation_string":"Centre de Physique Th\u00e9orique, CNRS, F13288 Marseille Cedex 9, France","institution_ids":["https://openalex.org/I4210160215","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029982474"],"corresponding_institution_ids":["https://openalex.org/I204250578","https://openalex.org/I2800939219"],"apc_list":{"value":2470,"currency":"USD","value_usd":2470},"apc_paid":null,"fwci":1.1055,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.80199765,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"48","issue":"1-4","first_page":"1003","last_page":"1007"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998000264167786,"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":0.9908000230789185,"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/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.7294292449951172},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6985577940940857},{"id":"https://openalex.org/keywords/stochastic-resonance","display_name":"Stochastic resonance","score":0.6503770351409912},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.6492199301719666},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5696399211883545},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5380043983459473},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5064908266067505},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.49325817823410034},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equation","display_name":"Stochastic partial differential equation","score":0.47921639680862427},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.45830607414245605},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.458038330078125},{"id":"https://openalex.org/keywords/stochastic-modelling","display_name":"Stochastic modelling","score":0.4550926685333252},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.43617355823516846},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.4318963289260864},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4154696464538574},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3316013216972351},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29591935873031616},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17423361539840698},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15495792031288147},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11188718676567078},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07856422662734985}],"concepts":[{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.7294292449951172},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6985577940940857},{"id":"https://openalex.org/C207658827","wikidata":"https://www.wikidata.org/wiki/Q1999781","display_name":"Stochastic resonance","level":4,"score":0.6503770351409912},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.6492199301719666},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5696399211883545},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5380043983459473},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5064908266067505},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.49325817823410034},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.47921639680862427},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.45830607414245605},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.458038330078125},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.4550926685333252},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.43617355823516846},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.4318963289260864},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4154696464538574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3316013216972351},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29591935873031616},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17423361539840698},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15495792031288147},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11188718676567078},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07856422662734985},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0925-2312(02)00342-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0925-2312(02)00342-9","pdf_url":null,"source":{"id":"https://openalex.org/S45693802","display_name":"Neurocomputing","issn_l":"0925-2312","issn":["0925-2312","1872-8286"],"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":"Neurocomputing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W649387755","https://openalex.org/W1571545895","https://openalex.org/W1995747963","https://openalex.org/W2007628320","https://openalex.org/W2032774941","https://openalex.org/W2032776279","https://openalex.org/W2043458113","https://openalex.org/W2060750942","https://openalex.org/W2166037666","https://openalex.org/W2171746688","https://openalex.org/W2172294131","https://openalex.org/W2318137607","https://openalex.org/W4236414685"],"related_works":["https://openalex.org/W2065669092","https://openalex.org/W3143465902","https://openalex.org/W2043451106","https://openalex.org/W2378015512","https://openalex.org/W2052273280","https://openalex.org/W1586295832","https://openalex.org/W3209963189","https://openalex.org/W1966477623","https://openalex.org/W2074410774","https://openalex.org/W2061548934"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}