{"id":"https://openalex.org/W2001136072","doi":"https://doi.org/10.1142/s0218127407018592","title":"TWOFOLD IMPACT OF DELAYED FEEDBACK ON COUPLED OSCILLATORS","display_name":"TWOFOLD IMPACT OF DELAYED FEEDBACK ON COUPLED OSCILLATORS","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2001136072","doi":"https://doi.org/10.1142/s0218127407018592","mag":"2001136072"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127407018592","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127407018592","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/A5009674935","display_name":"Oleksandr V. Popovych","orcid":"https://orcid.org/0000-0001-9994-1764"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"OLEKSANDR V. POPOVYCH","raw_affiliation_strings":["Brain Imaging Center West, Leo-Brandt-Street, 52425 J\u00fclich, Germany","Institute of Neurosciences and Biophysics 3-Medicine and Virtual Institute of Neuromodulation, Research Centre J\u00fclich, D-52425 J\u00fclich, Germany"],"affiliations":[{"raw_affiliation_string":"Brain Imaging Center West, Leo-Brandt-Street, 52425 J\u00fclich, Germany","institution_ids":[]},{"raw_affiliation_string":"Institute of Neurosciences and Biophysics 3-Medicine and Virtual Institute of Neuromodulation, Research Centre J\u00fclich, D-52425 J\u00fclich, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010506579","display_name":"Valerii Krachkovskyi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"VALERII KRACHKOVSKYI","raw_affiliation_strings":["Brain Imaging Center West, Leo-Brandt-Street, 52425 J\u00fclich, Germany","Institute of Neurosciences and Biophysics 3-Medicine and Virtual Institute of Neuromodulation, Research Centre J\u00fclich, D-52425 J\u00fclich, Germany"],"affiliations":[{"raw_affiliation_string":"Brain Imaging Center West, Leo-Brandt-Street, 52425 J\u00fclich, Germany","institution_ids":[]},{"raw_affiliation_string":"Institute of Neurosciences and Biophysics 3-Medicine and Virtual Institute of Neuromodulation, Research Centre J\u00fclich, D-52425 J\u00fclich, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078406508","display_name":"Peter A. Tass","orcid":"https://orcid.org/0000-0002-5736-7415"},"institutions":[{"id":"https://openalex.org/I4210153755","display_name":"University Hospital Cologne","ror":"https://ror.org/05mxhda18","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210153755"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"PETER A. TASS","raw_affiliation_strings":["Brain Imaging Center West, Leo-Brandt-Street, 52425 J\u00fclich, Germany","Department of Stereotaxic and Functional Neurosurgery, University Hospital, D-50924 Cologne, Germany","Institute of Neurosciences and Biophysics 3-Medicine and Virtual Institute of Neuromodulation, Research Centre J\u00fclich, D-52425 J\u00fclich, Germany"],"affiliations":[{"raw_affiliation_string":"Brain Imaging Center West, Leo-Brandt-Street, 52425 J\u00fclich, Germany","institution_ids":[]},{"raw_affiliation_string":"Department of Stereotaxic and Functional Neurosurgery, University Hospital, D-50924 Cologne, Germany","institution_ids":["https://openalex.org/I4210153755"]},{"raw_affiliation_string":"Institute of Neurosciences and Biophysics 3-Medicine and Virtual Institute of Neuromodulation, Research Centre J\u00fclich, D-52425 J\u00fclich, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009674935"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3472,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.82366037,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"17","issue":"07","first_page":"2517","last_page":"2530"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"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":0.9998999834060669,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9957000017166138,"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/attractor","display_name":"Attractor","score":0.8230098485946655},{"id":"https://openalex.org/keywords/synchronizing","display_name":"Synchronizing","score":0.8222312331199646},{"id":"https://openalex.org/keywords/coupling-strength","display_name":"Coupling strength","score":0.6808977127075195},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6261719465255737},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.6211305260658264},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.615305483341217},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6093782186508179},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6061410307884216},{"id":"https://openalex.org/keywords/phase-synchronization","display_name":"Phase synchronization","score":0.5555993318557739},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5461633205413818},{"id":"https://openalex.org/keywords/synchronization-of-chaos","display_name":"Synchronization of chaos","score":0.5245229005813599},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4562481641769409},{"id":"https://openalex.org/keywords/coupling-parameter","display_name":"Coupling parameter","score":0.4561575651168823},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.443887859582901},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3033312261104584},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.29059815406799316},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24345466494560242},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22495236992835999},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1147233247756958},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10880199074745178},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08950373530387878},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.07735344767570496},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.07463660836219788}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8230098485946655},{"id":"https://openalex.org/C162932704","wikidata":"https://www.wikidata.org/wiki/Q1058791","display_name":"Synchronizing","level":3,"score":0.8222312331199646},{"id":"https://openalex.org/C2986219828","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling strength","level":2,"score":0.6808977127075195},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6261719465255737},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.6211305260658264},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.615305483341217},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6093782186508179},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6061410307884216},{"id":"https://openalex.org/C194027367","wikidata":"https://www.wikidata.org/wiki/Q4420475","display_name":"Phase synchronization","level":3,"score":0.5555993318557739},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5461633205413818},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.5245229005813599},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4562481641769409},{"id":"https://openalex.org/C2777391479","wikidata":"https://www.wikidata.org/wiki/Q5178040","display_name":"Coupling parameter","level":2,"score":0.4561575651168823},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.443887859582901},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3033312261104584},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.29059815406799316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24345466494560242},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22495236992835999},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1147233247756958},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10880199074745178},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08950373530387878},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.07735344767570496},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.07463660836219788},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","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":2,"locations":[{"id":"doi:10.1142/s0218127407018592","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127407018592","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"},{"id":"pmh:oai:juser.fz-juelich.de:14761","is_oa":false,"landing_page_url":"http://juser.fz-juelich.de/search?p=id:%22PreJuSER-14761%22","pdf_url":null,"source":{"id":"https://openalex.org/S4306401090","display_name":"JuSER (Forschungszentrum J\u00fclich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I171892758","host_organization_name":"Forschungszentrum J\u00fclich","host_organization_lineage":["https://openalex.org/I171892758"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International journal of bifurcation and chaos (IJBC) 17, 2517 - 2530 (2007). doi:10.1142/S0218127407018592","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W111157985","https://openalex.org/W161994494","https://openalex.org/W950991549","https://openalex.org/W1518090354","https://openalex.org/W1572005185","https://openalex.org/W1966293166","https://openalex.org/W1966447818","https://openalex.org/W1969199486","https://openalex.org/W1971683300","https://openalex.org/W1988799042","https://openalex.org/W1988922563","https://openalex.org/W1996079598","https://openalex.org/W2000024363","https://openalex.org/W2000910130","https://openalex.org/W2001483178","https://openalex.org/W2005783469","https://openalex.org/W2007485772","https://openalex.org/W2011861207","https://openalex.org/W2018830020","https://openalex.org/W2020174839","https://openalex.org/W2021382857","https://openalex.org/W2023379985","https://openalex.org/W2026544162","https://openalex.org/W2028338930","https://openalex.org/W2031401690","https://openalex.org/W2034988650","https://openalex.org/W2039651834","https://openalex.org/W2040977313","https://openalex.org/W2041710178","https://openalex.org/W2043607790","https://openalex.org/W2043635613","https://openalex.org/W2044701045","https://openalex.org/W2048322012","https://openalex.org/W2049273606","https://openalex.org/W2060565454","https://openalex.org/W2062008996","https://openalex.org/W2062233234","https://openalex.org/W2068551947","https://openalex.org/W2068827960","https://openalex.org/W2075100344","https://openalex.org/W2077070125","https://openalex.org/W2083628144","https://openalex.org/W2088678566","https://openalex.org/W2092007890","https://openalex.org/W2092712662","https://openalex.org/W2093120175","https://openalex.org/W2093806670","https://openalex.org/W2095196670","https://openalex.org/W2096365923","https://openalex.org/W2112332687","https://openalex.org/W2121807658","https://openalex.org/W2130518506","https://openalex.org/W2132434872","https://openalex.org/W2155289136","https://openalex.org/W2158533181","https://openalex.org/W2158787087","https://openalex.org/W2163478323","https://openalex.org/W3102439383","https://openalex.org/W4231516052","https://openalex.org/W4248004290","https://openalex.org/W4301046466"],"related_works":["https://openalex.org/W2039166367","https://openalex.org/W2377714183","https://openalex.org/W4230387780","https://openalex.org/W2070901082","https://openalex.org/W2107002852","https://openalex.org/W2035775976","https://openalex.org/W2123692299","https://openalex.org/W2183239618","https://openalex.org/W2354073208","https://openalex.org/W2064146416"],"abstract_inverted_index":{"We":[0,61,107],"present":[1],"a":[2,10,25,41,75,83,103,117,121,132],"detailed":[3],"bifurcation":[4,119],"analysis":[5],"of":[6,12,28,44,66,77,116,120,124,135,138],"desynchronization":[7,111],"transitions":[8],"in":[9],"system":[11],"two":[13],"coupled":[14],"phase":[15,57,126],"oscillators":[16,23,71],"with":[17,31],"delay.":[18],"The":[19,36],"coupling":[20,68,94,100],"between":[21,70],"the":[22,67,80,87,99,110,114,136],"combines":[24],"delayed":[26,37],"self-feedback":[27,38],"each":[29],"oscillator":[30],"an":[32,64],"instantaneous":[33],"mutual":[34],"interaction.":[35],"leads":[39],"to":[40,55,74,131],"rich":[42],"variety":[43],"dynamical":[45],"regimes,":[46],"ranging":[47],"from":[48],"phase-locked":[49],"and":[50,59,92,96],"periodically":[51],"modulated":[52],"synchronized":[53],"states":[54],"chaotic":[56,122,125],"synchronization":[58],"desynchronization.":[60],"show":[62,108],"that":[63,109],"increase":[65],"strength":[69,95,101],"may":[72],"lead":[73],"loss":[76],"synchronization.":[78,127],"Intriguingly,":[79],"delay":[81,140],"has":[82,113],"twofold":[84],"influence":[85],"on":[86,141],"oscillations:":[88],"synchronizing":[89],"for":[90],"small":[91],"intermediate":[93],"desynchronizing":[97],"if":[98],"exceeds":[102],"certain":[104],"threshold":[105],"value.":[106],"transition":[112],"form":[115],"crisis":[118],"attractor":[123],"This":[128],"study":[129],"contributes":[130],"better":[133],"understanding":[134],"impact":[137],"time":[139],"interacting":[142],"oscillators.":[143]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
