{"id":"https://openalex.org/W1978703803","doi":"https://doi.org/10.1137/070688973","title":"Master-Slave Global Stochastic Synchronization of Chaotic Oscillators","display_name":"Master-Slave Global Stochastic Synchronization of Chaotic Oscillators","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1978703803","doi":"https://doi.org/10.1137/070688973","mag":"1978703803"},"language":"en","primary_location":{"id":"doi:10.1137/070688973","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070688973","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/A5018635001","display_name":"Maurizio Porfiri","orcid":"https://orcid.org/0000-0002-1480-3539"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Maurizio Porfiri","raw_affiliation_strings":["Mechanical and Aerospace Engineering"],"affiliations":[{"raw_affiliation_string":"Mechanical and Aerospace Engineering","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016627809","display_name":"Roberta Pigliacampo","orcid":null},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roberta Pigliacampo","raw_affiliation_strings":["New York University"],"affiliations":[{"raw_affiliation_string":"New York University","institution_ids":["https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018635001"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.0328,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.93914489,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"7","issue":"3","first_page":"825","last_page":"842"},"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/T10244","display_name":"Chaos control and synchronization","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/T11347","display_name":"Neural Networks Stability and Synchronization","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"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.8366846442222595},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.7386407256126404},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5964884757995605},{"id":"https://openalex.org/keywords/synchronization-networks","display_name":"Synchronization networks","score":0.5012669563293457},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4945473372936249},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.49284958839416504},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.4742419123649597},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.4383803606033325},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4372071921825409},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4023208022117615},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.2817063331604004}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.8366846442222595},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.7386407256126404},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5964884757995605},{"id":"https://openalex.org/C111097370","wikidata":"https://www.wikidata.org/wiki/Q10969923","display_name":"Synchronization networks","level":4,"score":0.5012669563293457},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4945473372936249},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.49284958839416504},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.4742419123649597},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.4383803606033325},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4372071921825409},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4023208022117615},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2817063331604004},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/070688973","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070688973","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":74,"referenced_works":["https://openalex.org/W111157985","https://openalex.org/W147326039","https://openalex.org/W176098071","https://openalex.org/W656410758","https://openalex.org/W1489872560","https://openalex.org/W1493745406","https://openalex.org/W1512304705","https://openalex.org/W1584623820","https://openalex.org/W1620414136","https://openalex.org/W1629051378","https://openalex.org/W1964647857","https://openalex.org/W1970442252","https://openalex.org/W1971410670","https://openalex.org/W1971839327","https://openalex.org/W1974246643","https://openalex.org/W1981479913","https://openalex.org/W1983087327","https://openalex.org/W1996511030","https://openalex.org/W1997453174","https://openalex.org/W2001510177","https://openalex.org/W2003248977","https://openalex.org/W2004875888","https://openalex.org/W2017318062","https://openalex.org/W2020199955","https://openalex.org/W2024294142","https://openalex.org/W2024575511","https://openalex.org/W2030308994","https://openalex.org/W2032766351","https://openalex.org/W2034091048","https://openalex.org/W2039651834","https://openalex.org/W2041693126","https://openalex.org/W2043186887","https://openalex.org/W2047283311","https://openalex.org/W2050012402","https://openalex.org/W2053769764","https://openalex.org/W2055140741","https://openalex.org/W2056772394","https://openalex.org/W2065793853","https://openalex.org/W2073565283","https://openalex.org/W2077341251","https://openalex.org/W2079133700","https://openalex.org/W2079913772","https://openalex.org/W2083694019","https://openalex.org/W2083787309","https://openalex.org/W2086391943","https://openalex.org/W2088793790","https://openalex.org/W2090020911","https://openalex.org/W2097902574","https://openalex.org/W2100290086","https://openalex.org/W2104513914","https://openalex.org/W2107923477","https://openalex.org/W2115428923","https://openalex.org/W2115979454","https://openalex.org/W2119655342","https://openalex.org/W2120069632","https://openalex.org/W2125514430","https://openalex.org/W2128995499","https://openalex.org/W2129177364","https://openalex.org/W2133841948","https://openalex.org/W2136680209","https://openalex.org/W2141389303","https://openalex.org/W2152313903","https://openalex.org/W2153841181","https://openalex.org/W2154557769","https://openalex.org/W2154953441","https://openalex.org/W2164114467","https://openalex.org/W2164805945","https://openalex.org/W2168986222","https://openalex.org/W2170234221","https://openalex.org/W2466591757","https://openalex.org/W2478131867","https://openalex.org/W4247555059","https://openalex.org/W4248418306","https://openalex.org/W4254303229"],"related_works":["https://openalex.org/W2007496022","https://openalex.org/W2189283563","https://openalex.org/W2069291020","https://openalex.org/W2013560803","https://openalex.org/W1976423836","https://openalex.org/W2142195778","https://openalex.org/W2604363444","https://openalex.org/W1987881260","https://openalex.org/W3154181267","https://openalex.org/W2054907893"],"abstract_inverted_index":{"We":[0,12,46,70,101],"study":[1,47],"global":[2,25,53],"synchronization":[3,26,68,108],"of":[4,64,66,92,109],"coupled":[5,80],"chaotic":[6],"systems":[7,78],"with":[8],"random":[9],"intermittent":[10],"coupling.":[11,45],"use":[13],"stochastic":[14],"Lyapunov":[15],"stability":[16],"theory":[17],"and":[18,36,50,55],"partial":[19],"averaging":[20],"techniques":[21],"to":[22,106],"show":[23],"that":[24,85],"is":[27,33],"possible":[28],"if":[29,37],"the":[30,38,61,67,103,107],"switching":[31],"period":[32],"sufficiently":[34],"small":[35],"oscillators":[39],"globally":[40],"synchronize":[41],"under":[42],"a":[43,82,89,97],"time-averaged":[44],"mean":[48],"square":[49],"almost":[51],"sure":[52],"synchronization,":[54,74],"we":[56],"determine":[57],"quantitative":[58],"bounds":[59],"for":[60],"exponential":[62],"rate":[63],"decay":[65],"error.":[69],"focus":[71],"on":[72],"master-slave":[73],"where":[75],"two":[76],"dynamical":[77],"are":[79],"via":[81],"directed":[83],"feedback":[84],"randomly":[86],"switches":[87],"among":[88],"finite":[90],"set":[91],"given":[93],"constant":[94],"functions":[95],"at":[96],"prescribed":[98],"time":[99],"rate.":[100],"apply":[102],"proposed":[104],"approach":[105],"Chua":[110],"circuits.":[111]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}