{"id":"https://openalex.org/W1964117659","doi":"https://doi.org/10.1142/s0218127411029847","title":"ANTI-PHASE AND INVERSE \u03c0-LAG SYNCHRONIZATION IN COUPLED DUFFING-TYPE CIRCUITS","display_name":"ANTI-PHASE AND INVERSE \u03c0-LAG SYNCHRONIZATION IN COUPLED DUFFING-TYPE CIRCUITS","publication_year":2011,"publication_date":"2011-07-08","ids":{"openalex":"https://openalex.org/W1964117659","doi":"https://doi.org/10.1142/s0218127411029847","mag":"1964117659"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127411029847","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411029847","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/A5061639181","display_name":"Christos Volos","orcid":"https://orcid.org/0000-0001-8763-7255"},"institutions":[{"id":"https://openalex.org/I24897511","display_name":"Hellenic Military Academy","ror":"https://ror.org/01esc8r67","country_code":"GR","type":"education","lineage":["https://openalex.org/I24897511"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"CHRISTOS K. VOLOS","raw_affiliation_strings":["Department of Mathematics and Engineering Studies, Hellenic Army Academy, Athens, GR16673, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Engineering Studies, Hellenic Army Academy, Athens, GR16673, Greece","institution_ids":["https://openalex.org/I24897511"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012257593","display_name":"I. \u039c. Kyprianidis","orcid":null},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"IOANNIS M. KYPRIANIDIS","raw_affiliation_strings":["Physics Department, Aristotle University of Thessaloniki, Thessaloniki, GR54124, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Department, Aristotle University of Thessaloniki, Thessaloniki, GR54124, Greece","institution_ids":["https://openalex.org/I21370196"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033892060","display_name":"Ioannis Stouboulos","orcid":"https://orcid.org/0000-0003-1942-8413"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"IOANNIS N. STOUBOULOS","raw_affiliation_strings":["Physics Department, Aristotle University of Thessaloniki, Thessaloniki, GR54124, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Department, Aristotle University of Thessaloniki, Thessaloniki, GR54124, Greece","institution_ids":["https://openalex.org/I21370196"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4628,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.82137524,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"21","issue":"08","first_page":"2357","last_page":"2368"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9991000294685364,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9968000054359436,"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":0.8046004772186279},{"id":"https://openalex.org/keywords/lag","display_name":"Lag","score":0.7200748324394226},{"id":"https://openalex.org/keywords/duffing-equation","display_name":"Duffing equation","score":0.6972171068191528},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5811728835105896},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.5239075422286987},{"id":"https://openalex.org/keywords/phase-synchronization","display_name":"Phase synchronization","score":0.5043321847915649},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.49988293647766113},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.49381908774375916},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.49286699295043945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4659987688064575},{"id":"https://openalex.org/keywords/phase-lag","display_name":"Phase lag","score":0.44456052780151367},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.44447529315948486},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4186256527900696},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4169401526451111},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.4162288308143616},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35075467824935913},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.270946204662323},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1642531454563141},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11601394414901733},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08461984992027283},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06432074308395386}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.8046004772186279},{"id":"https://openalex.org/C75778745","wikidata":"https://www.wikidata.org/wiki/Q342626","display_name":"Lag","level":2,"score":0.7200748324394226},{"id":"https://openalex.org/C132323500","wikidata":"https://www.wikidata.org/wiki/Q675387","display_name":"Duffing equation","level":3,"score":0.6972171068191528},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5811728835105896},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.5239075422286987},{"id":"https://openalex.org/C194027367","wikidata":"https://www.wikidata.org/wiki/Q4420475","display_name":"Phase synchronization","level":3,"score":0.5043321847915649},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.49988293647766113},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.49381908774375916},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.49286699295043945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4659987688064575},{"id":"https://openalex.org/C2983665814","wikidata":"https://www.wikidata.org/wiki/Q17120908","display_name":"Phase lag","level":2,"score":0.44456052780151367},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.44447529315948486},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4186256527900696},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4169401526451111},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4162288308143616},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35075467824935913},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.270946204662323},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1642531454563141},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11601394414901733},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08461984992027283},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06432074308395386},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127411029847","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411029847","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W612741145","https://openalex.org/W656410758","https://openalex.org/W1483975156","https://openalex.org/W1577466517","https://openalex.org/W1966523973","https://openalex.org/W1970442252","https://openalex.org/W1970500498","https://openalex.org/W1970954629","https://openalex.org/W1975516971","https://openalex.org/W1975902535","https://openalex.org/W1978554830","https://openalex.org/W1987834694","https://openalex.org/W1988557140","https://openalex.org/W1995494079","https://openalex.org/W1998045598","https://openalex.org/W2000570427","https://openalex.org/W2000882094","https://openalex.org/W2001779779","https://openalex.org/W2001819675","https://openalex.org/W2013729900","https://openalex.org/W2014329008","https://openalex.org/W2018978558","https://openalex.org/W2021501407","https://openalex.org/W2021685010","https://openalex.org/W2024936009","https://openalex.org/W2025118983","https://openalex.org/W2027949855","https://openalex.org/W2030374314","https://openalex.org/W2030374438","https://openalex.org/W2031740249","https://openalex.org/W2032618531","https://openalex.org/W2040152660","https://openalex.org/W2050012402","https://openalex.org/W2054402839","https://openalex.org/W2059209102","https://openalex.org/W2061695646","https://openalex.org/W2064645847","https://openalex.org/W2065200229","https://openalex.org/W2065382523","https://openalex.org/W2065437660","https://openalex.org/W2079752621","https://openalex.org/W2081948264","https://openalex.org/W2082574814","https://openalex.org/W2084833892","https://openalex.org/W2086391943","https://openalex.org/W2093627340","https://openalex.org/W2093856783","https://openalex.org/W2094194576","https://openalex.org/W2104081868","https://openalex.org/W2108996731","https://openalex.org/W2117728279","https://openalex.org/W2139669257","https://openalex.org/W2143026326","https://openalex.org/W2152489926","https://openalex.org/W2159546327","https://openalex.org/W2917958570","https://openalex.org/W4241149346","https://openalex.org/W4256560209"],"related_works":["https://openalex.org/W1996519078","https://openalex.org/W2095192539","https://openalex.org/W2386449147","https://openalex.org/W2045194929","https://openalex.org/W2055224542","https://openalex.org/W2031778573","https://openalex.org/W1525395558","https://openalex.org/W2167436245","https://openalex.org/W1675804924","https://openalex.org/W2992008984"],"abstract_inverted_index":{"The":[0,72,122],"dynamic":[1],"behavior":[2],"of":[3,53,64,67,78,90,115],"bidirectionally":[4],"coupled":[5,35,46],"Duffing-type":[6,36],"circuits":[7],"is":[8,28,49,75,87,106,112],"numerically":[9],"and":[10,22,84,118,124,147],"experimentally":[11],"investigated.":[12],"Two":[13],"related":[14],"phenomena":[15,132],"are":[16,133],"explored":[17],"such":[18],"as":[19],"anti-phase":[20],"synchronization":[21,27,42,57,131],"inverse":[23,40],"\u03c0-lag":[24,41,56],"synchronization.":[25,54],"Anti-phase":[26],"observed":[29],"for":[30],"the":[31,39,62,65,76,79,85,88,91,113,136,139,154],"first":[32,73,80],"time":[33,98,104],"in":[34,44],"systems,":[37],"while":[38],"phenomenon":[43],"mutually":[45],"identical":[47],"oscillators":[48],"a":[50,97],"new":[51],"type":[52],"Inverse":[55],"can":[58],"be":[59],"characterized":[60],"by":[61],"vanishing":[63],"sum":[66],"two":[68,130],"relevant":[69],"periodic":[70],"signals.":[71],"one":[74],"signal":[77,89],"circuit":[81,93],"x":[82,94,116,119,141],"1":[83,117],"second":[86,92],"2":[95,120],"with":[96,135],"lag":[99,105],"\u03c4":[100],"min":[101],".":[102,121],"This":[103],"equal":[107],"to":[108],"T/2,":[109,152],"where":[110],"T":[111],"period":[114],"measurements":[123],"numerical":[125],"computations":[126],"suggest":[127],"that":[128],"these":[129],"correlated":[134],"symmetry":[137],"under":[138],"transformation,":[140],"\u2192":[142,145,149],"-x,":[143],"y":[144],"-y":[146],"t":[148,150],"+":[151],"which":[153],"Duffing":[155],"equation":[156],"exhibits.":[157]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
