{"id":"https://openalex.org/W2040396251","doi":"https://doi.org/10.1137/12089274x","title":"Effects of Heterogeneous Periodic Forcing on Inhibitory Networks","display_name":"Effects of Heterogeneous Periodic Forcing on Inhibitory Networks","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2040396251","doi":"https://doi.org/10.1137/12089274x","mag":"2040396251"},"language":"en","primary_location":{"id":"doi:10.1137/12089274x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/12089274x","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/A5076365914","display_name":"A. K. Serenevy","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. K. Serenevy","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5077516931","display_name":"Nancy Kopell","orcid":"https://orcid.org/0000-0002-8568-8750"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N. J. Kopell","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4701,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.64270994,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"12","issue":"3","first_page":"1649","last_page":"1684"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9993000030517578,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/homogeneous","display_name":"Homogeneous","score":0.6784490942955017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5912812352180481},{"id":"https://openalex.org/keywords/phase-response-curve","display_name":"Phase response curve","score":0.566453754901886},{"id":"https://openalex.org/keywords/network-dynamics","display_name":"Network dynamics","score":0.49209803342819214},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.4887514114379883},{"id":"https://openalex.org/keywords/inhibitory-postsynaptic-potential","display_name":"Inhibitory postsynaptic potential","score":0.45675382018089294},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25485655665397644},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.2508615255355835},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.2258058488368988},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22055286169052124},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.1353347897529602},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07061383128166199},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0688486397266388}],"concepts":[{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6784490942955017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5912812352180481},{"id":"https://openalex.org/C63531555","wikidata":"https://www.wikidata.org/wiki/Q7180960","display_name":"Phase response curve","level":4,"score":0.566453754901886},{"id":"https://openalex.org/C123757187","wikidata":"https://www.wikidata.org/wiki/Q9195957","display_name":"Network dynamics","level":2,"score":0.49209803342819214},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.4887514114379883},{"id":"https://openalex.org/C17077164","wikidata":"https://www.wikidata.org/wiki/Q1185869","display_name":"Inhibitory postsynaptic potential","level":2,"score":0.45675382018089294},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25485655665397644},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.2508615255355835},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2258058488368988},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22055286169052124},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.1353347897529602},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07061383128166199},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0688486397266388},{"id":"https://openalex.org/C121446783","wikidata":"https://www.wikidata.org/wiki/Q208353","display_name":"Circadian rhythm","level":2,"score":0.0},{"id":"https://openalex.org/C38606739","wikidata":"https://www.wikidata.org/wiki/Q5121352","display_name":"Circadian clock","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/12089274x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/12089274x","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":[{"display_name":"Peace, Justice and strong institutions","score":0.5,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W99189181","https://openalex.org/W1501360999","https://openalex.org/W1523428222","https://openalex.org/W1542177822","https://openalex.org/W1576838367","https://openalex.org/W1757730752","https://openalex.org/W1948806673","https://openalex.org/W1965259272","https://openalex.org/W1976437022","https://openalex.org/W1977177901","https://openalex.org/W1981855363","https://openalex.org/W2003600785","https://openalex.org/W2016767879","https://openalex.org/W2023512999","https://openalex.org/W2068010757","https://openalex.org/W2072685125","https://openalex.org/W2074911271","https://openalex.org/W2077654090","https://openalex.org/W2085968804","https://openalex.org/W2087348423","https://openalex.org/W2089691595","https://openalex.org/W2089876099","https://openalex.org/W2093309816","https://openalex.org/W2095265457","https://openalex.org/W2101794949","https://openalex.org/W2103860306","https://openalex.org/W2104430388","https://openalex.org/W2122492788","https://openalex.org/W2126879375","https://openalex.org/W2128437100","https://openalex.org/W2136539651","https://openalex.org/W2136934965","https://openalex.org/W2143314871","https://openalex.org/W2153487752","https://openalex.org/W2726654747","https://openalex.org/W4285719527","https://openalex.org/W4300096983"],"related_works":["https://openalex.org/W2003538972","https://openalex.org/W2971214053","https://openalex.org/W2974163011","https://openalex.org/W2021517900","https://openalex.org/W2037381935","https://openalex.org/W2949231297","https://openalex.org/W2060606417","https://openalex.org/W3210082636","https://openalex.org/W3036947769","https://openalex.org/W2534796405"],"abstract_inverted_index":{"Phase":[0],"response":[1],"curves":[2],"(PRCs)":[3],"are":[4],"commonly":[5],"used":[6],"to":[7,60,66,97,112,128,148,151],"model":[8],"the":[9,22,25,30,52,61,64,68,71,77,80,86,94,105,113,116,126,131,146,152,155],"dynamics":[10,31],"of":[11,21,37,54,63,70,79,102,115,134,154],"single":[12],"oscillators.":[13],"In":[14],"this":[15],"paper,":[16],"we":[17],"present":[18],"an":[19,33],"analogue":[20],"PRC,":[23],"called":[24],"\u201ctiming":[26],"map,\u201d":[27],"which":[28],"models":[29],"in":[32,83,104,138,145],"arbitrarily":[34],"large":[35],"network":[36,56,110,127,147],"mutually":[38],"inhibitory":[39],"oscillators,":[40],"forced":[41],"by":[42],"heterogeneous":[43],"drives":[44,106],"with":[45,119],"identical":[46],"periods.":[47],"The":[48],"timing":[49,81,95],"map":[50,82,96],"uses":[51],"time":[53,69],"one":[55],"spiking":[57,73,139],"episode":[58],"(relative":[59],"phase":[62],"drive)":[65],"predict":[67],"next":[72],"episode.":[74],"We":[75,92],"establish":[76],"existence":[78],"cases":[84,120],"where":[85],"mutual":[87],"inhibition":[88,144],"is":[89],"sufficiently":[90],"strong.":[91],"use":[93],"explain":[98],"how":[99],"small":[100],"amounts":[101],"heterogeneity":[103],"can":[107],"actually":[108],"strengthen":[109],"locking":[111,150],"period":[114,153],"drives,":[117],"compared":[118],"involving":[121],"homogeneous":[122],"drives.":[123],"Heterogeneity":[124],"enables":[125],"dynamically":[129],"select":[130],"appropriate":[132],"number":[133],"neurons":[135],"for":[136],"participation":[137],"episodes,":[140],"thereby":[141],"creating":[142],"sufficient":[143],"facilitate":[149],"drive.":[156]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}