{"id":"https://openalex.org/W2060426066","doi":"https://doi.org/10.1137/140951369","title":"Pulse Bifurcations in Stochastic Neural Fields","display_name":"Pulse Bifurcations in Stochastic Neural Fields","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2060426066","doi":"https://doi.org/10.1137/140951369","mag":"2060426066"},"language":"en","primary_location":{"id":"doi:10.1137/140951369","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140951369","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","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/A5058007553","display_name":"Zachary P. Kilpatrick","orcid":"https://orcid.org/0000-0002-2835-9416"},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zachary P. Kilpatrick","raw_affiliation_strings":["[Univ. of Houston]"],"affiliations":[{"raw_affiliation_string":"[Univ. of Houston]","institution_ids":["https://openalex.org/I44461941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015702631","display_name":"Gr\u00e9gory Faye","orcid":"https://orcid.org/0000-0001-7390-4295"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gr\u00e9gory Faye","raw_affiliation_strings":["University of\u00a0Minnesota"],"affiliations":[{"raw_affiliation_string":"University of\u00a0Minnesota","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058007553"],"corresponding_institution_ids":["https://openalex.org/I44461941"],"apc_list":null,"apc_paid":null,"fwci":0.7837,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.70783319,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"2","first_page":"830","last_page":"860"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9997000098228455,"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":0.9997000098228455,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9993000030517578,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9941999912261963,"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/pulse","display_name":"Pulse (music)","score":0.5441334247589111},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4624626338481903},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.44130030274391174},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40785497426986694},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35694625973701477},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.34591183066368103},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15455913543701172},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.13054734468460083}],"concepts":[{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.5441334247589111},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4624626338481903},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.44130030274391174},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40785497426986694},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35694625973701477},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34591183066368103},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15455913543701172},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.13054734468460083},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/140951369","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140951369","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1399158925","display_name":"Spatiotemporal pattern formation in some nonlocal and local dynamical systems","funder_award_id":"1311414","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4100087161","display_name":"Architecture for robust spatiotemporal dynamics in neuronal networks","funder_award_id":"1311755","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6910160175","display_name":null,"funder_award_id":"DMS-1311755","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W609699901","https://openalex.org/W1542004730","https://openalex.org/W1556125163","https://openalex.org/W1642251103","https://openalex.org/W1867287134","https://openalex.org/W1963638114","https://openalex.org/W1964215461","https://openalex.org/W1967646573","https://openalex.org/W1970323478","https://openalex.org/W1974584941","https://openalex.org/W1978461659","https://openalex.org/W1988013457","https://openalex.org/W1989512479","https://openalex.org/W1992476998","https://openalex.org/W1994009344","https://openalex.org/W1994762657","https://openalex.org/W1996559499","https://openalex.org/W2003196450","https://openalex.org/W2004400179","https://openalex.org/W2008240154","https://openalex.org/W2008936540","https://openalex.org/W2022401803","https://openalex.org/W2022876055","https://openalex.org/W2023723894","https://openalex.org/W2029374903","https://openalex.org/W2032407678","https://openalex.org/W2034327294","https://openalex.org/W2042862694","https://openalex.org/W2046198005","https://openalex.org/W2048016531","https://openalex.org/W2054371931","https://openalex.org/W2058912480","https://openalex.org/W2070069190","https://openalex.org/W2071535924","https://openalex.org/W2092356747","https://openalex.org/W2097773940","https://openalex.org/W2101103067","https://openalex.org/W2102952547","https://openalex.org/W2103747990","https://openalex.org/W2105469583","https://openalex.org/W2111128547","https://openalex.org/W2115354531","https://openalex.org/W2117865287","https://openalex.org/W2117971770","https://openalex.org/W2121319723","https://openalex.org/W2121881348","https://openalex.org/W2124698339","https://openalex.org/W2126155237","https://openalex.org/W2127920751","https://openalex.org/W2129207384","https://openalex.org/W2129240084","https://openalex.org/W2132587893","https://openalex.org/W2138469799","https://openalex.org/W2142329149","https://openalex.org/W2143591162","https://openalex.org/W2143965680","https://openalex.org/W2148654448","https://openalex.org/W2148924918","https://openalex.org/W2151229057","https://openalex.org/W2157694985","https://openalex.org/W2166376761","https://openalex.org/W2168900759","https://openalex.org/W2169898855","https://openalex.org/W2962910210","https://openalex.org/W3099747905","https://openalex.org/W3101287789","https://openalex.org/W3103848320"],"related_works":["https://openalex.org/W2386387936","https://openalex.org/W2052403182","https://openalex.org/W2022334804","https://openalex.org/W2330740667","https://openalex.org/W2051039076","https://openalex.org/W2066924826","https://openalex.org/W2056798303","https://openalex.org/W1481454372","https://openalex.org/W1489638182","https://openalex.org/W2372087308"],"abstract_inverted_index":{"We":[0,40],"study":[1],"the":[2,38,47,59,78,82,101,104,122,129,132,145,151],"effects":[3,48,146],"of":[4,37,49,64,81,90,103,124,136,147,153,162],"additive":[5,148],"noise":[6,70,130,149,159],"on":[7,150],"traveling":[8,109,154,163],"pulse":[9,110],"solutions":[10,94],"in":[11],"spatially":[12,65,91],"extended":[13,66],"neural":[14,84],"fields":[15,20,85],"with":[16,24,169],"linear":[17],"adaptation.":[18],"Neural":[19],"are":[21,135,167],"evolution":[22],"equations":[23,68],"an":[25,42],"integral":[26],"term":[27,71],"characterizing":[28],"synaptic":[29],"interactions":[30],"between":[31],"neurons":[32],"at":[33],"different":[34],"spatial":[35],"locations":[36],"network.":[39],"introduce":[41],"auxiliary":[43],"variable":[44],"to":[45,77,108],"model":[46],"local":[50],"negative":[51],"feedback":[52],"and":[53,131,156],"consider":[54],"random":[55],"fluctuations":[56],"by":[57,99],"modeling":[58],"system":[60],"as":[61],"a":[62,73,88,117],"set":[63],"Langevin":[67],"whose":[69],"is":[72],"$Q$-Wiener":[74],"process.":[75],"Due":[76],"translation":[79],"invariance":[80],"network,":[83],"can":[86,96],"support":[87],"continuum":[89],"localized":[92],"bump":[93],"that":[95,158],"be":[97],"destabilized":[98],"increasing":[100],"strength":[102],"adaptation,":[105],"giving":[106],"rise":[107],"solutions.":[111],"Near":[112],"this":[113,141],"criticality,":[114],"we":[115,143],"derive":[116],"stochastic":[118],"amplitude":[119],"equation":[120],"describing":[121],"dynamics":[123],"these":[125],"bifurcating":[126],"pulses":[127,155],"when":[128],"deterministic":[133],"instability":[134],"comparable":[137],"magnitude.":[138],"Away":[139],"from":[140],"bifurcation,":[142],"investigate":[144],"propagation":[152],"demonstrate":[157],"induces":[160],"wandering":[161],"pulses.":[164],"Our":[165],"results":[166],"complemented":[168],"numerical":[170],"simulations.":[171]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}