{"id":"https://openalex.org/W4385702009","doi":"https://doi.org/10.1137/22m1521201","title":"Optimal Phase-Selective Entrainment of Heterogeneous Oscillator Ensembles","display_name":"Optimal Phase-Selective Entrainment of Heterogeneous Oscillator Ensembles","publication_year":2023,"publication_date":"2023-08-09","ids":{"openalex":"https://openalex.org/W4385702009","doi":"https://doi.org/10.1137/22m1521201","pmid":"https://pubmed.ncbi.nlm.nih.gov/38835972"},"language":"en","primary_location":{"id":"doi:10.1137/22m1521201","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1521201","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","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11149604/pdf/nihms-1943809.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028623570","display_name":"Bharat Singhal","orcid":"https://orcid.org/0000-0002-0658-9747"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bharat Singhal","raw_affiliation_strings":["Department of Electrical and Systems Engineering, Washington University in St Louis, St Louis, MO 63130 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, Washington University in St Louis, St Louis, MO 63130 USA","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087739573","display_name":"Istv\u00e1n Z. Kiss","orcid":"https://orcid.org/0000-0003-0993-3184"},"institutions":[{"id":"https://openalex.org/I208333798","display_name":"University of Missouri\u2013St. Louis","ror":"https://ror.org/037cnag11","country_code":"US","type":"education","lineage":["https://openalex.org/I208333798"]},{"id":"https://openalex.org/I47838141","display_name":"Saint Louis University","ror":"https://ror.org/01p7jjy08","country_code":"US","type":"education","lineage":["https://openalex.org/I47838141"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Istv\u00e1n Z. Kiss","raw_affiliation_strings":["Department of Chemistry, Saint Louis University, St. Louis, MO 63103 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry, Saint Louis University, St. Louis, MO 63103 USA","institution_ids":["https://openalex.org/I47838141","https://openalex.org/I208333798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079314465","display_name":"Jr-Shin Li","orcid":"https://orcid.org/0000-0001-6693-3979"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jr-Shin Li","raw_affiliation_strings":["Department of Electrical and Systems Engineering, Washington University in St Louis, St Louis, MO 63130 USA, and Division of Biology and Biomedical Sciences, Washington University in St Louis, St Louis, MO 63130 USA"],"raw_orcid":"https://orcid.org/0000-0001-6693-3979","affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, Washington University in St Louis, St Louis, MO 63130 USA, and Division of Biology and Biomedical Sciences, Washington University in St Louis, St Louis, MO 63130 USA","institution_ids":["https://openalex.org/I204465549"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028623570"],"corresponding_institution_ids":["https://openalex.org/I204465549"],"apc_list":null,"apc_paid":null,"fwci":2.1643,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.88252025,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"22","issue":"3","first_page":"2180","last_page":"2205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9951000213623047,"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":0.9951000213623047,"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/T11429","display_name":"Semiconductor Lasers and Optical Devices","score":0.9934999942779541,"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"}},{"id":"https://openalex.org/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/entrainment","display_name":"Entrainment (biomusicology)","score":0.697813868522644},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.563546359539032},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5472511649131775},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.5273992419242859},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.49770286679267883},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4480116367340088},{"id":"https://openalex.org/keywords/phase-response","display_name":"Phase response","score":0.42970699071884155},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.42384761571884155},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.42280229926109314},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.42279088497161865},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.415014386177063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31000304222106934},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28795376420021057},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10584396123886108}],"concepts":[{"id":"https://openalex.org/C139992725","wikidata":"https://www.wikidata.org/wiki/Q5380656","display_name":"Entrainment (biomusicology)","level":3,"score":0.697813868522644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.563546359539032},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5472511649131775},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.5273992419242859},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.49770286679267883},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4480116367340088},{"id":"https://openalex.org/C54767332","wikidata":"https://www.wikidata.org/wiki/Q1751572","display_name":"Phase response","level":3,"score":0.42970699071884155},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.42384761571884155},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.42280229926109314},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42279088497161865},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.415014386177063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31000304222106934},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28795376420021057},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10584396123886108},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C135343436","wikidata":"https://www.wikidata.org/wiki/Q170406","display_name":"Rhythm","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/22m1521201","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1521201","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":"pmid:38835972","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38835972","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM journal on applied dynamical systems","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:11149604","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11149604","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11149604/pdf/nihms-1943809.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM J Appl Dyn Syst","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:11149604","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11149604","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11149604/pdf/nihms-1943809.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM J Appl Dyn Syst","raw_type":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1999641239","display_name":null,"funder_award_id":"R01GM131403-01","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G2965706157","display_name":null,"funder_award_id":"R01GM131403","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G334285618","display_name":null,"funder_award_id":"CMMI-1933976","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4516736450","display_name":null,"funder_award_id":"-21-1-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4903566268","display_name":null,"funder_award_id":"FA9550-21-1-0335","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6817854226","display_name":null,"funder_award_id":"1933976","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7645938444","display_name":null,"funder_award_id":"CMMI-1933976","funder_id":"https://openalex.org/F4320337391","funder_display_name":"Division of Civil, Mechanical and Manufacturing Innovation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4385702009.pdf"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W106829319","https://openalex.org/W950991549","https://openalex.org/W1537862299","https://openalex.org/W1871870378","https://openalex.org/W1947753814","https://openalex.org/W1968840857","https://openalex.org/W1970106721","https://openalex.org/W1974495707","https://openalex.org/W1976581746","https://openalex.org/W1977642816","https://openalex.org/W1997455197","https://openalex.org/W2003866008","https://openalex.org/W2016419186","https://openalex.org/W2026419395","https://openalex.org/W2030345583","https://openalex.org/W2033077179","https://openalex.org/W2033476559","https://openalex.org/W2033524478","https://openalex.org/W2034398646","https://openalex.org/W2053189389","https://openalex.org/W2071147887","https://openalex.org/W2071198763","https://openalex.org/W2072517893","https://openalex.org/W2078028301","https://openalex.org/W2084910998","https://openalex.org/W2111382819","https://openalex.org/W2127389037","https://openalex.org/W2129473744","https://openalex.org/W2131397159","https://openalex.org/W2135861595","https://openalex.org/W2149525340","https://openalex.org/W2166960592","https://openalex.org/W2218655865","https://openalex.org/W2299487798","https://openalex.org/W2331484579","https://openalex.org/W2469756947","https://openalex.org/W2592750654","https://openalex.org/W2607648638","https://openalex.org/W2792281181","https://openalex.org/W2921462066","https://openalex.org/W2954868958","https://openalex.org/W2955153581","https://openalex.org/W3020824909","https://openalex.org/W3092420468","https://openalex.org/W3099730715","https://openalex.org/W3101352986","https://openalex.org/W3128862607","https://openalex.org/W3135129067","https://openalex.org/W3147919432","https://openalex.org/W3186133136","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W3206121223","https://openalex.org/W2537854317","https://openalex.org/W2055318650","https://openalex.org/W4310634407","https://openalex.org/W2053275481","https://openalex.org/W2053379810","https://openalex.org/W2056991237","https://openalex.org/W1994766193","https://openalex.org/W2044665170","https://openalex.org/W1980723339"],"abstract_inverted_index":{"We":[0,24,68],"develop":[1],"a":[2,60,65,73,101],"framework":[3],"to":[4,49,58,99],"design":[5,105],"optimal":[6],"entrainment":[7,62],"signals":[8],"that":[9],"entrain":[10,80],"an":[11],"ensemble":[12],"of":[13,37,55,75,104],"heterogeneous":[14],"nonlinear":[15],"oscillators,":[16],"described":[17],"by":[18,40],"phase":[19,76,85],"models,":[20,77],"at":[21],"desired":[22],"phases.":[23],"explicitly":[25],"take":[26],"into":[27,64,83],"account":[28],"heterogeneity":[29],"in":[30],"both":[31],"oscillation":[32],"frequency":[33],"and":[34,107,114],"the":[35,51,81,91],"type":[36],"oscillators":[38,82],"characterized":[39],"different":[41],"Phase":[42],"Response":[43],"Curves.":[44],"The":[45],"central":[46],"idea":[47],"is":[48],"leverage":[50],"Fourier":[52],"series":[53],"representation":[54],"periodic":[56],"functions":[57],"decode":[59],"phase-selective":[61],"task":[63],"quadratic":[66],"program.":[67],"demonstrate":[69],"our":[70,95],"approach":[71],"using":[72],"variety":[74],"where":[78],"we":[79,88],"distinct":[84],"patterns.":[86],"Also,":[87],"show":[89],"how":[90],"generalizability":[92],"gained":[93],"from":[94],"formulation":[96],"enables":[97],"us":[98],"meet":[100],"wide":[102],"range":[103],"objectives":[106],"constraints,":[108],"such":[109],"as":[110],"minimum-power,":[111],"fast":[112],"entrainment,":[113],"charge-balanced":[115],"controls.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}