{"id":"https://openalex.org/W2030720957","doi":"https://doi.org/10.1142/s0218127400000189","title":"SYNCHRONIZATION STABILITY IN COUPLED OSCILLATOR ARRAYS: SOLUTION FOR ARBITRARY CONFIGURATIONS","display_name":"SYNCHRONIZATION STABILITY IN COUPLED OSCILLATOR ARRAYS: SOLUTION FOR ARBITRARY CONFIGURATIONS","publication_year":2000,"publication_date":"2000-02-01","ids":{"openalex":"https://openalex.org/W2030720957","doi":"https://doi.org/10.1142/s0218127400000189","mag":"2030720957"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127400000189","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127400000189","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5111850435","display_name":"Lou Pecora","orcid":null},"institutions":[{"id":"https://openalex.org/I1288214837","display_name":"United States Naval Research Laboratory","ror":"https://ror.org/04d23a975","country_code":"US","type":"facility","lineage":["https://openalex.org/I1288214837","https://openalex.org/I1330347796","https://openalex.org/I175003984","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"LOU PECORA","raw_affiliation_strings":["Code 6343, Naval Research Laboratory,  Washington DC 20375, USA","Code 6343, Naval Research Laboratory, Washington, DC 20375, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Code 6343, Naval Research Laboratory,  Washington DC 20375, USA","institution_ids":["https://openalex.org/I1288214837"]},{"raw_affiliation_string":"Code 6343, Naval Research Laboratory, Washington, DC 20375, USA","institution_ids":["https://openalex.org/I1288214837"]}]},{"author_position":"middle","author":{"id":null,"display_name":"TOM CARROLL","orcid":null},"institutions":[{"id":"https://openalex.org/I1288214837","display_name":"United States Naval Research Laboratory","ror":"https://ror.org/04d23a975","country_code":"US","type":"facility","lineage":["https://openalex.org/I1288214837","https://openalex.org/I1330347796","https://openalex.org/I175003984","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"TOM CARROLL","raw_affiliation_strings":["Code 6343, Naval Research Laboratory,  Washington DC 20375, USA","Code 6343, Naval Research Laboratory, Washington, DC 20375, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Code 6343, Naval Research Laboratory,  Washington DC 20375, USA","institution_ids":["https://openalex.org/I1288214837"]},{"raw_affiliation_string":"Code 6343, Naval Research Laboratory, Washington, DC 20375, USA","institution_ids":["https://openalex.org/I1288214837"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001251398","display_name":"Gregg A. Johnson","orcid":"https://orcid.org/0000-0002-8911-8640"},"institutions":[{"id":"https://openalex.org/I1288214837","display_name":"United States Naval Research Laboratory","ror":"https://ror.org/04d23a975","country_code":"US","type":"facility","lineage":["https://openalex.org/I1288214837","https://openalex.org/I1330347796","https://openalex.org/I175003984","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"GREGG JOHNSON","raw_affiliation_strings":["Code 5673, Naval Research Laboratory,  Washington DC 20375, USA","Code 5673, Naval Research Laboratory, Washington, DC 20375, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Code 5673, Naval Research Laboratory,  Washington DC 20375, USA","institution_ids":["https://openalex.org/I1288214837"]},{"raw_affiliation_string":"Code 5673, Naval Research Laboratory, Washington, DC 20375, USA","institution_ids":["https://openalex.org/I1288214837"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091012640","display_name":"Doug Mar","orcid":null},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"DOUG MAR","raw_affiliation_strings":["Biomedical Engineering Department and  Center for Biodynamics, Boston University,  Boston MA 02215, USA","Biomedical Engineering Department and Center for Biodynamics, Boston University, Boston MA 02215, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Biomedical Engineering Department and  Center for Biodynamics, Boston University,  Boston MA 02215, USA","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"Biomedical Engineering Department and Center for Biodynamics, Boston University, Boston MA 02215, USA","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109268504","display_name":"Kenneth S. Fink","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"KENNETH S. FINK","raw_affiliation_strings":["Physics Department, Columbia U., New York  , USA","Physics Department, Columbia U., New York , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Department, Columbia U., New York  , USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Physics Department, Columbia U., New York , USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5788,"has_fulltext":false,"cited_by_count":120,"citation_normalized_percentile":{"value":0.90692124,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"10","issue":"02","first_page":"273","last_page":"290"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":1.0,"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":1.0,"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/T10244","display_name":"Chaos control and synchronization","score":0.9933000206947327,"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/T11449","display_name":"Mechanical and Optical Resonators","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/synchronization","display_name":"Synchronization (alternating current)","score":0.7926249504089355},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7649307250976562},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5981370806694031},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5698432922363281},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5326442718505859},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5295318961143494},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.527864396572113},{"id":"https://openalex.org/keywords/stability-conditions","display_name":"Stability conditions","score":0.43807563185691833},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36276769638061523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2751306891441345},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0753379762172699},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.0723567008972168}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7926249504089355},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7649307250976562},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5981370806694031},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5698432922363281},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5326442718505859},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5295318961143494},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.527864396572113},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.43807563185691833},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36276769638061523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2751306891441345},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0753379762172699},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.0723567008972168},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127400000189","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127400000189","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.46000000834465027,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W307773229","https://openalex.org/W1481616730","https://openalex.org/W1574092249","https://openalex.org/W1876456565","https://openalex.org/W1965972982","https://openalex.org/W1968923372","https://openalex.org/W1970442252","https://openalex.org/W1980007064","https://openalex.org/W2001510177","https://openalex.org/W2003619105","https://openalex.org/W2004932170","https://openalex.org/W2008187568","https://openalex.org/W2024575511","https://openalex.org/W2028904030","https://openalex.org/W2030147123","https://openalex.org/W2031775300","https://openalex.org/W2032618531","https://openalex.org/W2033046316","https://openalex.org/W2035920302","https://openalex.org/W2041838231","https://openalex.org/W2049715459","https://openalex.org/W2053843225","https://openalex.org/W2056288432","https://openalex.org/W2057175858","https://openalex.org/W2062984511","https://openalex.org/W2070504300","https://openalex.org/W2072240599","https://openalex.org/W2080907923","https://openalex.org/W2083787309","https://openalex.org/W2092733375","https://openalex.org/W2093627340","https://openalex.org/W2094780448","https://openalex.org/W2119161220","https://openalex.org/W2120658185","https://openalex.org/W2124616566","https://openalex.org/W2131488242","https://openalex.org/W2138922511","https://openalex.org/W2141451487","https://openalex.org/W2148493559","https://openalex.org/W2157747003","https://openalex.org/W2161188242","https://openalex.org/W2496842803","https://openalex.org/W2798909945","https://openalex.org/W2991077130"],"related_works":["https://openalex.org/W2757394160","https://openalex.org/W4229005303","https://openalex.org/W2069173628","https://openalex.org/W3125812129","https://openalex.org/W2975999490","https://openalex.org/W3215671869","https://openalex.org/W2291158962","https://openalex.org/W3185168740","https://openalex.org/W2610480937","https://openalex.org/W2354218031"],"abstract_inverted_index":{"The":[0],"stability":[1,27,92,105],"of":[2,5,11,34,116],"the":[3,35,37,64,73,86,104,117,140],"state":[4],"motion":[6],"in":[7,15,89,97],"which":[8],"a":[9,20,55,70,112],"collection":[10],"coupled":[12],"oscillators":[13,36],"are":[14],"identical":[16,118],"synchrony":[17],"is":[18,28,46,78],"often":[19,47],"primary":[21],"and":[22,93,132],"crucial":[23],"issue.":[24],"When":[25],"synchronization":[26,91,119],"needed":[29],"for":[30,128],"many":[31],"different":[32],"configurations":[33,100,137],"problem":[38],"can":[39,125,138],"become":[40],"computationally":[41],"intense.":[42],"In":[43,107],"addition,":[44],"there":[45],"no":[48],"general":[49,114,130],"guidance":[50,96],"on":[51,63],"how":[52],"to":[53,57,80,103],"change":[54],"configuration":[56],"enhance":[58],"or":[59],"diminsh":[60],"stability,":[61],"depending":[62],"requirements.":[65],"We":[66],"have":[67],"recently":[68],"introduced":[69],"concept":[71],"called":[72],"Master":[74,141],"Stability":[75,142],"Function":[76],"that":[77,101,122,134],"designed":[79],"accomplish":[81],"two":[82],"goals:":[83],"(1)":[84],"decrease":[85],"numerical":[87],"load":[88],"calculating":[90],"(2)":[94],"provide":[95],"designing":[98],"coupling":[99],"conform":[102],"required.":[106],"doing":[108],"this,":[109],"we":[110],"develop":[111],"very":[113,129],"formulation":[115],"problem,":[120],"show":[121],"asymptotic":[123],"results":[124],"be":[126],"derived":[127],"cases,":[131],"demonstrate":[133],"simple":[135],"oscillator":[136],"probe":[139],"Function.":[143]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
