{"id":"https://openalex.org/W1991107078","doi":"https://doi.org/10.1142/s0218127403006443","title":"FEEDBACK SYNCHRONIZATION OF CHAOTIC SYSTEMS","display_name":"FEEDBACK SYNCHRONIZATION OF CHAOTIC SYSTEMS","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1991107078","doi":"https://doi.org/10.1142/s0218127403006443","mag":"1991107078"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127403006443","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127403006443","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/A5025642831","display_name":"C. Sarasola","orcid":null},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"C. SARASOLA","raw_affiliation_strings":["Department of Physics of Materials,  University of the Basque Country, 20018 San Sebastian, Spain","Department of Physics of Materials, University of the Basque Country, 20018 San Sebastian, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics of Materials,  University of the Basque Country, 20018 San Sebastian, Spain","institution_ids":["https://openalex.org/I169108374"]},{"raw_affiliation_string":"Department of Physics of Materials, University of the Basque Country, 20018 San Sebastian, Spain","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110073456","display_name":"Francisco Torrealdea","orcid":null},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]},{"id":"https://openalex.org/I2799833905","display_name":"Basque Culinary Center","ror":"https://ror.org/03ftn5w97","country_code":"ES","type":"education","lineage":["https://openalex.org/I2799833905"]},{"id":"https://openalex.org/I4210131160","display_name":"Material Physics Center","ror":"https://ror.org/02hpa6m94","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I169108374","https://openalex.org/I4210131160"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"F. J. TORREALDEA","raw_affiliation_strings":["Department of Computer Science,  University of the Basque Country, 20018 San Sebastian, Spain","Department of Computer Science, University of the Basque Country, 20018 San Sebastian, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science,  University of the Basque Country, 20018 San Sebastian, Spain","institution_ids":["https://openalex.org/I169108374","https://openalex.org/I2799833905","https://openalex.org/I4210131160"]},{"raw_affiliation_string":"Department of Computer Science, University of the Basque Country, 20018 San Sebastian, Spain","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108356095","display_name":"Alicia d\u2019Anjou","orcid":null},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]},{"id":"https://openalex.org/I2799833905","display_name":"Basque Culinary Center","ror":"https://ror.org/03ftn5w97","country_code":"ES","type":"education","lineage":["https://openalex.org/I2799833905"]},{"id":"https://openalex.org/I4210131160","display_name":"Material Physics Center","ror":"https://ror.org/02hpa6m94","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I169108374","https://openalex.org/I4210131160"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. D'ANJOU","raw_affiliation_strings":["Department of Computer Science,  University of the Basque Country, 20018 San Sebastian, Spain","Department of Computer Science, University of the Basque Country, 20018 San Sebastian, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science,  University of the Basque Country, 20018 San Sebastian, Spain","institution_ids":["https://openalex.org/I169108374","https://openalex.org/I2799833905","https://openalex.org/I4210131160"]},{"raw_affiliation_string":"Department of Computer Science, University of the Basque Country, 20018 San Sebastian, Spain","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069092734","display_name":"Abdelmalik Moujahid","orcid":"https://orcid.org/0000-0002-4971-3613"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]},{"id":"https://openalex.org/I2799833905","display_name":"Basque Culinary Center","ror":"https://ror.org/03ftn5w97","country_code":"ES","type":"education","lineage":["https://openalex.org/I2799833905"]},{"id":"https://openalex.org/I4210131160","display_name":"Material Physics Center","ror":"https://ror.org/02hpa6m94","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I169108374","https://openalex.org/I4210131160"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. MOUJAHID","raw_affiliation_strings":["Department of Computer Science,  University of the Basque Country, 20018 San Sebastian, Spain","Department of Computer Science, University of the Basque Country, 20018 San Sebastian, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science,  University of the Basque Country, 20018 San Sebastian, Spain","institution_ids":["https://openalex.org/I169108374","https://openalex.org/I2799833905","https://openalex.org/I4210131160"]},{"raw_affiliation_string":"Department of Computer Science, University of the Basque Country, 20018 San Sebastian, Spain","institution_ids":["https://openalex.org/I169108374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106225114","display_name":"Manuel Gra\u00f1a","orcid":"https://orcid.org/0000-0001-7373-4097"},"institutions":[{"id":"https://openalex.org/I169108374","display_name":"University of the Basque Country","ror":"https://ror.org/000xsnr85","country_code":"ES","type":"education","lineage":["https://openalex.org/I169108374"]},{"id":"https://openalex.org/I2799833905","display_name":"Basque Culinary Center","ror":"https://ror.org/03ftn5w97","country_code":"ES","type":"education","lineage":["https://openalex.org/I2799833905"]},{"id":"https://openalex.org/I4210131160","display_name":"Material Physics Center","ror":"https://ror.org/02hpa6m94","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I169108374","https://openalex.org/I4210131160"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. GRA\u00d1A","raw_affiliation_strings":["Department of Computer Science,  University of the Basque Country, 20018 San Sebastian, Spain","Department of Computer Science, University of the Basque Country, 20018 San Sebastian, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science,  University of the Basque Country, 20018 San Sebastian, Spain","institution_ids":["https://openalex.org/I169108374","https://openalex.org/I2799833905","https://openalex.org/I4210131160"]},{"raw_affiliation_string":"Department of Computer Science, University of the Basque Country, 20018 San Sebastian, Spain","institution_ids":["https://openalex.org/I169108374"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.5614,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.95164149,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"13","issue":"01","first_page":"177","last_page":"191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9997000098228455,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9990000128746033,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9922999739646912,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.7409192323684692},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6231628060340881},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.6019882559776306},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.5898903608322144},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5770264267921448},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5622481107711792},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5243097543716431},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.49884796142578125},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4977281391620636},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.4597177505493164},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.453025758266449},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38484397530555725},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33294999599456787},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3037092685699463},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18619650602340698},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10566380620002747}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7409192323684692},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6231628060340881},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.6019882559776306},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.5898903608322144},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5770264267921448},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5622481107711792},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5243097543716431},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.49884796142578125},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4977281391620636},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.4597177505493164},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.453025758266449},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38484397530555725},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33294999599456787},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3037092685699463},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18619650602340698},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10566380620002747},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127403006443","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127403006443","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":[{"score":0.41999998688697815,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1966523973","https://openalex.org/W1970442252","https://openalex.org/W1987938973","https://openalex.org/W1990775568","https://openalex.org/W2004380443","https://openalex.org/W2006641932","https://openalex.org/W2008566119","https://openalex.org/W2022219055","https://openalex.org/W2034724811","https://openalex.org/W2039627263","https://openalex.org/W2045448715","https://openalex.org/W2060058238","https://openalex.org/W2060453269","https://openalex.org/W2060745581","https://openalex.org/W2060759080","https://openalex.org/W2064645847","https://openalex.org/W2070673474","https://openalex.org/W2075523193","https://openalex.org/W2085648684","https://openalex.org/W2090519075","https://openalex.org/W2103278830","https://openalex.org/W2104615694","https://openalex.org/W2104712791","https://openalex.org/W2112851964","https://openalex.org/W2129846302","https://openalex.org/W2131413806","https://openalex.org/W2151584782","https://openalex.org/W2165991250","https://openalex.org/W2321552821"],"related_works":["https://openalex.org/W1976339860","https://openalex.org/W2385261246","https://openalex.org/W2378977836","https://openalex.org/W2378473052","https://openalex.org/W2119254031","https://openalex.org/W2393870343","https://openalex.org/W1995494079","https://openalex.org/W2361974046","https://openalex.org/W150646114","https://openalex.org/W2115128571"],"abstract_inverted_index":{"Feedback":[0],"coupling":[1,73,136],"through":[2,70],"an":[3,193],"interaction":[4,47,74,100,215],"term":[5,48,75,101],"proportional":[6],"to":[7,28,160,187,210],"the":[8,11,31,43,46,51,55,99,122,162,165,203,225],"difference":[9],"in":[10,137,158,202],"value":[12],"of":[13,17,30,33,38,45,54,57,76,88,116,148,164,179,196,205],"some":[14],"behavioral":[15],"characteristics":[16],"two":[18,66],"systems":[19,68,144,181,223],"is":[20],"a":[21,71,81,86,104,113,119,128,146],"very":[22],"common":[23],"structural":[24,149],"setting":[25],"that":[26,65,111,134,143],"leads":[27],"synchronization":[29,39,117,125,212],"behavior":[32],"both":[34,58],"systems.":[35,59],"The":[36,198],"degree":[37,115,147,195],"attained":[40],"depends":[41],"on":[42,50],"strength":[44],"and":[49,207,228],"mutual":[52],"interdependency":[53],"structures":[56,157],"In":[60,121,168],"this":[61,169,219],"paper,":[62,170],"we":[63,171],"show":[64,133],"chaotic":[67],"linked":[69],"feedback":[72,135,190],"gain":[77],"parameter":[78,96,150,173],"k":[79,97],"reach":[80],"synchronized":[82,166],"regime":[83],"characterized":[84],"by":[85],"vector":[87],"variable":[89],"errors":[90],"which":[91],"tends":[92,102],"towards":[93,103,154],"zero":[94],"with":[95,145,221],"while":[98],"finite":[105,129],"nonzero":[106],"permanent":[107],"regime.":[108,167],"This":[109],"means":[110],"maintaining":[112],"certain":[114],"has":[118],"cost.":[120,131,216],"limit,":[123],"complete":[124],"occurs":[126],"at":[127,213],"limit":[130],"We":[132,217],"itself":[138],"brings":[139],"about":[140],"conditions":[141],"permitting":[142],"flexibility":[151],"evolve":[152],"close":[153],"each":[155],"other":[156],"order":[159],"facilitate":[161],"maintenance":[163],"deduce":[172],"adaptive":[174],"laws":[175,199],"for":[176],"any":[177],"family":[178],"homochaotic":[180,222],"provided":[182],"they":[183],"are":[184,200],"previously":[185],"forced":[186],"work,":[188],"via":[189],"coupling,":[191],"within":[192],"appropriate":[194],"synchronization.":[197],"global":[201],"space":[204],"parameters":[206],"lead":[208],"eventually":[209],"identical":[211],"no":[214],"illustrate":[218],"point":[220],"from":[224],"Lorenz,":[226],"R\u00f6ssler":[227],"Chua":[229],"families.":[230]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
