{"id":"https://openalex.org/W2029261423","doi":"https://doi.org/10.1137/140971099","title":"Dynamics of Coupled Noisy Neural Oscillators with Heterogeneous Phase Resetting Curves","display_name":"Dynamics of Coupled Noisy Neural Oscillators with Heterogeneous Phase Resetting Curves","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2029261423","doi":"https://doi.org/10.1137/140971099","mag":"2029261423"},"language":"en","primary_location":{"id":"doi:10.1137/140971099","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140971099","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/A5091359900","display_name":"Cheng Ly","orcid":"https://orcid.org/0000-0003-3279-8240"},"institutions":[{"id":"https://openalex.org/I184840846","display_name":"Virginia Commonwealth University","ror":"https://ror.org/02nkdxk79","country_code":"US","type":"education","lineage":["https://openalex.org/I184840846"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Cheng Ly","raw_affiliation_strings":["Virginia Commonwealth University"],"affiliations":[{"raw_affiliation_string":"Virginia Commonwealth University","institution_ids":["https://openalex.org/I184840846"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091359900"],"corresponding_institution_ids":["https://openalex.org/I184840846"],"apc_list":null,"apc_paid":null,"fwci":1.4336,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.84124724,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"4","first_page":"1733","last_page":"1755"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998000264167786,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9994999766349792,"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/T12236","display_name":"Photoreceptor and optogenetics research","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.6128356456756592},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5351378321647644},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5293090343475342},{"id":"https://openalex.org/keywords/pulse","display_name":"Pulse (music)","score":0.515921950340271},{"id":"https://openalex.org/keywords/phase-response-curve","display_name":"Phase response curve","score":0.5085922479629517},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4599006175994873},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.44145384430885315},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4374648630619049},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.43180108070373535},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3808826208114624},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.3656781017780304},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34166744351387024},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3403053283691406},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10439231991767883},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10128220915794373},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.09129977226257324},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.08872878551483154}],"concepts":[{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.6128356456756592},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5351378321647644},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5293090343475342},{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.515921950340271},{"id":"https://openalex.org/C63531555","wikidata":"https://www.wikidata.org/wiki/Q7180960","display_name":"Phase response curve","level":4,"score":0.5085922479629517},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4599006175994873},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.44145384430885315},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4374648630619049},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.43180108070373535},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3808826208114624},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3656781017780304},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34166744351387024},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3403053283691406},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10439231991767883},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10128220915794373},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.09129977226257324},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.08872878551483154},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C38606739","wikidata":"https://www.wikidata.org/wiki/Q5121352","display_name":"Circadian clock","level":3,"score":0.0},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/140971099","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140971099","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"},{"id":"pmh:oai:scholarscompass.vcu.edu:ssor_pubs-1008","is_oa":false,"landing_page_url":"https://scholarscompass.vcu.edu/ssor_pubs/8","pdf_url":null,"source":{"id":"https://openalex.org/S4377196340","display_name":"VCU Scholars Compass (Virginia Commonwealth University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184840846","host_organization_name":"Virginia Commonwealth University","host_organization_lineage":["https://openalex.org/I184840846"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Statistical Sciences and Operations Research Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W111157985","https://openalex.org/W1484033701","https://openalex.org/W1542177822","https://openalex.org/W1964809553","https://openalex.org/W1965894564","https://openalex.org/W1968704659","https://openalex.org/W1980721898","https://openalex.org/W1988507461","https://openalex.org/W1990321067","https://openalex.org/W1990636640","https://openalex.org/W1990661182","https://openalex.org/W1991820980","https://openalex.org/W1992415981","https://openalex.org/W1998291292","https://openalex.org/W2000713595","https://openalex.org/W2011459128","https://openalex.org/W2017277760","https://openalex.org/W2023177221","https://openalex.org/W2029342452","https://openalex.org/W2031002180","https://openalex.org/W2033476559","https://openalex.org/W2037084406","https://openalex.org/W2045542193","https://openalex.org/W2046424015","https://openalex.org/W2047207165","https://openalex.org/W2047418886","https://openalex.org/W2047763282","https://openalex.org/W2060979414","https://openalex.org/W2068516834","https://openalex.org/W2069221212","https://openalex.org/W2071147887","https://openalex.org/W2077689169","https://openalex.org/W2079960018","https://openalex.org/W2080948124","https://openalex.org/W2083613130","https://openalex.org/W2088678566","https://openalex.org/W2089184574","https://openalex.org/W2094496560","https://openalex.org/W2096010313","https://openalex.org/W2099897558","https://openalex.org/W2101028262","https://openalex.org/W2106902980","https://openalex.org/W2108755545","https://openalex.org/W2115251054","https://openalex.org/W2116829706","https://openalex.org/W2119024215","https://openalex.org/W2119114954","https://openalex.org/W2131683626","https://openalex.org/W2132436234","https://openalex.org/W2133593528","https://openalex.org/W2134852050","https://openalex.org/W2136934965","https://openalex.org/W2146666753","https://openalex.org/W2151816517","https://openalex.org/W2153487752","https://openalex.org/W2154953441","https://openalex.org/W2157154487","https://openalex.org/W2160100961","https://openalex.org/W2163218780","https://openalex.org/W2168448159","https://openalex.org/W2318533546","https://openalex.org/W2486288979","https://openalex.org/W3098379181","https://openalex.org/W4241863377"],"related_works":["https://openalex.org/W2487162673","https://openalex.org/W2942366970","https://openalex.org/W2793211469","https://openalex.org/W2949152769","https://openalex.org/W4372354731","https://openalex.org/W2562400057","https://openalex.org/W1692008701","https://openalex.org/W2597588799","https://openalex.org/W2156260160","https://openalex.org/W951951560"],"abstract_inverted_index":{"Pulse-coupled":[0],"phase":[1,20,82,127,195],"oscillators":[2,21,128,158,196],"have":[3,135,159],"been":[4],"utilized":[5],"in":[6,34,104,116],"a":[7,16,41,68,144],"variety":[8],"of":[9,18,49,80,89,100,109,166],"contexts.":[10],"Motivated":[11],"by":[12],"neuroscience,":[13],"we":[14,85,124,182],"study":[15],"network":[17,118],"pulse-coupled":[19],"receiving":[22],"independent":[23],"and":[24,84,178,201,204],"correlated":[25],"noise.":[26],"An":[27,51],"additional":[28],"physiological":[29],"attribute,":[30],"heterogeneity,":[31],"is":[32,40,59,119,169],"incorporated":[33],"the":[35,46,73,77,81,87,90,94,101,110,154,185,194],"phase-resetting":[36],"curve":[37],"(PRC),":[38],"which":[39],"vital":[42],"entity":[43],"for":[44,64],"modeling":[45],"biophysical":[47],"dynamics":[48,103],"oscillators.":[50],"accurate":[52],"probability":[53,78],"density":[54,79],"or":[55],"mean":[56],"field":[57],"description":[58],"large-dimensional,":[60],"requiring":[61],"reduction":[62,69],"methods":[63,96],"tractability.":[65],"We":[66,92,192],"present":[67],"method":[70],"to":[71,197],"capture":[72,98],"pairwise":[74],"synchrony":[75],"via":[76,171],"differences,":[83],"explore":[86],"robustness":[88],"method.":[91],"find":[93,125],"reduced":[95],"can":[97],"some":[99],"synchronous":[102],"these":[105],"networks.":[106],"The":[107],"variance":[108,137],"noisy":[111],"period":[112],"(or":[113],"spike":[114],"times)":[115],"this":[117,167],"also":[120],"considered.":[121],"In":[122],"particular,":[123],"that":[126],"with":[129,138,143,151,175,190],"predominately":[130],"positive":[131],"PRCs":[132,142],"(type":[133,148],"I)":[134],"larger":[136,145],"inhibitory":[139],"pulse-coupling":[140,153],"than":[141,162],"negative":[146],"region":[147],"II),":[149],"but":[150],"excitatory":[152],"opposite":[155],"happens---type":[156],"I":[157],"lower":[160],"variability":[161,189],"type":[163],"II.":[164],"Analysis":[165],"phenomenon":[168],"provided":[170],"an":[172],"asymptotic":[173],"approximation":[174],"weak":[176,179],"noise":[177],"coupling,":[180],"where":[181],"demonstrate":[183],"how":[184],"individual":[186],"PRC":[187],"alters":[188],"pulse-coupling.":[191],"compare":[193],"full":[198],"oscillator":[199],"networks":[200],"discuss":[202],"utility":[203],"shortcomings.":[205]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
