{"id":"https://openalex.org/W2150836340","doi":"https://doi.org/10.1142/s0218127414400148","title":"Cascades of Multiheaded Chimera States for Coupled Phase Oscillators","display_name":"Cascades of Multiheaded Chimera States for Coupled Phase Oscillators","publication_year":2014,"publication_date":"2014-08-01","ids":{"openalex":"https://openalex.org/W2150836340","doi":"https://doi.org/10.1142/s0218127414400148","mag":"2150836340"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127414400148","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127414400148","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1402.1363","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yuri L. Maistrenko","orcid":null},"institutions":[{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"government","lineage":["https://openalex.org/I149851306"]},{"id":"https://openalex.org/I190444043","display_name":"Institute of Mathematics","ror":"https://ror.org/04q3mp532","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I190444043"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Yuri L. Maistrenko","raw_affiliation_strings":["Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivska St. 3, 01030, Kyiv, Ukraine","National Scientific Centre for Medical and Biotechnical Research, National Academy of Sciences of Ukraine, Volodymyrska Str. 54, 01030, Kyiv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivska St. 3, 01030, Kyiv, Ukraine","institution_ids":["https://openalex.org/I149851306","https://openalex.org/I190444043"]},{"raw_affiliation_string":"National Scientific Centre for Medical and Biotechnical Research, National Academy of Sciences of Ukraine, Volodymyrska Str. 54, 01030, Kyiv, Ukraine","institution_ids":["https://openalex.org/I149851306"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Anna Vasylenko","orcid":null},"institutions":[{"id":"https://openalex.org/I149213910","display_name":"University of Antwerp","ror":"https://ror.org/008x57b05","country_code":"BE","type":"education","lineage":["https://openalex.org/I149213910"]},{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"government","lineage":["https://openalex.org/I149851306"]}],"countries":["BE","UA"],"is_corresponding":false,"raw_author_name":"Anna Vasylenko","raw_affiliation_strings":["National Scientific Centre for Medical and Biotechnical Research, National Academy of Sciences of Ukraine, Volodymyrska Str. 54, 01030, Kyiv, Ukraine","University of Antwerp, Groenenborgerlaan 171, BE-2020, Antwerp, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Scientific Centre for Medical and Biotechnical Research, National Academy of Sciences of Ukraine, Volodymyrska Str. 54, 01030, Kyiv, Ukraine","institution_ids":["https://openalex.org/I149851306"]},{"raw_affiliation_string":"University of Antwerp, Groenenborgerlaan 171, BE-2020, Antwerp, Belgium","institution_ids":["https://openalex.org/I149213910"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Oleksandr Sudakov","orcid":null},"institutions":[{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"government","lineage":["https://openalex.org/I149851306"]},{"id":"https://openalex.org/I189238007","display_name":"Taras Shevchenko National University of Kyiv","ror":"https://ror.org/02aaqv166","country_code":"UA","type":"education","lineage":["https://openalex.org/I189238007"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Oleksandr Sudakov","raw_affiliation_strings":["National Scientific Centre for Medical and Biotechnical Research, National Academy of Sciences of Ukraine, Volodymyrska Str. 54, 01030, Kyiv, Ukraine","Taras Shevchenko National University of Kyiv, Volodymyrska Str. 60, 01030, Kyiv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Scientific Centre for Medical and Biotechnical Research, National Academy of Sciences of Ukraine, Volodymyrska Str. 54, 01030, Kyiv, Ukraine","institution_ids":["https://openalex.org/I149851306"]},{"raw_affiliation_string":"Taras Shevchenko National University of Kyiv, Volodymyrska Str. 60, 01030, Kyiv, Ukraine","institution_ids":["https://openalex.org/I189238007"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Roman Levchenko","orcid":null},"institutions":[{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"government","lineage":["https://openalex.org/I149851306"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Roman Levchenko","raw_affiliation_strings":["National Scientific Centre for Medical and Biotechnical Research, National Academy of Sciences of Ukraine, Volodymyrska Str. 54, 01030, Kyiv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Scientific Centre for Medical and Biotechnical Research, National Academy of Sciences of Ukraine, Volodymyrska Str. 54, 01030, Kyiv, Ukraine","institution_ids":["https://openalex.org/I149851306"]}]},{"author_position":"last","author":{"id":null,"display_name":"Volodymyr L. Maistrenko","orcid":null},"institutions":[{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"government","lineage":["https://openalex.org/I149851306"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Volodymyr L. Maistrenko","raw_affiliation_strings":["National Scientific Centre for Medical and Biotechnical Research, National Academy of Sciences of Ukraine, Volodymyrska Str. 54, 01030, Kyiv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Scientific Centre for Medical and Biotechnical Research, National Academy of Sciences of Ukraine, Volodymyrska Str. 54, 01030, Kyiv, Ukraine","institution_ids":["https://openalex.org/I149851306"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.1353,"has_fulltext":false,"cited_by_count":86,"citation_normalized_percentile":{"value":0.98107152,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"24","issue":"08","first_page":"1440014","last_page":"1440014"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9840999841690063,"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":0.9840999841690063,"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":0.010300000198185444,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.0017999999690800905,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/chimera","display_name":"Chimera (genetics)","score":0.8057000041007996},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.6240000128746033},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.599399983882904},{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.590399980545044},{"id":"https://openalex.org/keywords/coupling-strength","display_name":"Coupling strength","score":0.4909000098705292},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.44940000772476196},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.42250001430511475},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.3822000026702881}],"concepts":[{"id":"https://openalex.org/C30278631","wikidata":"https://www.wikidata.org/wiki/Q281721","display_name":"Chimera (genetics)","level":3,"score":0.8057000041007996},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6819999814033508},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.6240000128746033},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.599399983882904},{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.590399980545044},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4968999922275543},{"id":"https://openalex.org/C2986219828","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling strength","level":2,"score":0.4909000098705292},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.44940000772476196},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.42250001430511475},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.3822000026702881},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.37619999051094055},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3711000084877014},{"id":"https://openalex.org/C55637507","wikidata":"https://www.wikidata.org/wiki/Q5870963","display_name":"Quasiperiodic function","level":2,"score":0.3668000102043152},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.3617999851703644},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33390000462532043},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.3156999945640564},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.31200000643730164},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.29319998621940613},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.28439998626708984},{"id":"https://openalex.org/C2780042749","wikidata":"https://www.wikidata.org/wiki/Q604374","display_name":"Kuramoto model","level":4,"score":0.27559998631477356},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.273499995470047},{"id":"https://openalex.org/C2780843604","wikidata":"https://www.wikidata.org/wiki/Q7269515","display_name":"Quasiperiodicity","level":3,"score":0.26030001044273376},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.2526000142097473}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127414400148","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127414400148","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:arXiv.org:1402.1363","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1402.1363","pdf_url":"https://arxiv.org/pdf/1402.1363","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1402.1363","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1402.1363","pdf_url":"https://arxiv.org/pdf/1402.1363","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1968220940","https://openalex.org/W1976485125","https://openalex.org/W1980165500","https://openalex.org/W1983879740","https://openalex.org/W1985304695","https://openalex.org/W2002321527","https://openalex.org/W2011590104","https://openalex.org/W2012810461","https://openalex.org/W2012855746","https://openalex.org/W2033516940","https://openalex.org/W2033770904","https://openalex.org/W2041775857","https://openalex.org/W2045426226","https://openalex.org/W2051714532","https://openalex.org/W2054345627","https://openalex.org/W2063547899","https://openalex.org/W2074547182","https://openalex.org/W2075271993","https://openalex.org/W2085804653","https://openalex.org/W2087209677","https://openalex.org/W2088874122","https://openalex.org/W2092838570","https://openalex.org/W2105763846","https://openalex.org/W2111932266","https://openalex.org/W2119336047","https://openalex.org/W2148369470","https://openalex.org/W2315583805","https://openalex.org/W2315849195","https://openalex.org/W2331468776","https://openalex.org/W2476121101","https://openalex.org/W4292283611"],"related_works":[],"abstract_inverted_index":{"Chimera":[0],"state":[1],"is":[2],"a":[3,16,119,144,165],"recently":[4],"discovered":[5],"dynamical":[6],"phenomenon":[7],"in":[8,33,84,164],"arrays":[9],"of":[10,20,29,35,60,67,73,80,87,93,99,101],"nonlocally":[11],"coupled":[12],"oscillators,":[13],"that":[14,77],"displays":[15],"self-organized":[17],"spatial":[18],"pattern":[19],"coexisting":[21],"coherence":[22],"and":[23,40,70,138,148],"incoherence.":[24],"We":[25,106],"discuss":[26],"the":[27,30,46,58,61,65,71,88,94,111],"appearance":[28],"chimera":[31,81,112,166],"states":[32,82,95],"networks":[34],"phase":[36],"oscillators":[37],"with":[38,41,96,153],"attractive":[39],"repulsive":[42],"interactions,":[43],"i.e.":[44],"when":[45,133],"coupling":[47,68],"respectively":[48],"favors":[49],"synchronization":[50],"or":[51,127],"works":[52],"against":[53],"it.":[54],"By":[55],"systematically":[56],"analyzing":[57],"dependence":[59],"spatiotemporal":[62],"dynamics":[63,156],"on":[64,118],"level":[66],"attractivity/repulsivity":[69],"range":[72],"coupling,":[74],"we":[75],"uncover":[76],"different":[78],"types":[79],"exist":[83],"wide":[85],"domains":[86],"parameter":[89],"space":[90],"as":[91,125],"cascades":[92],"increasing":[97],"number":[98],"intervals":[100],"irregularity,":[102],"so-called":[103],"chimera's":[104],"heads.":[105],"report":[107],"three":[108],"scenarios":[109],"for":[110],"birth:":[113],"(1)":[114],"via":[115,130,150],"saddle-node":[116,145],"bifurcation":[117],"resonant":[120],"invariant":[121],"circle,":[122],"also":[123],"known":[124],"SNIC":[126],"SNIPER,":[128],"(2)":[129],"blue-sky":[131],"catastrophe,":[132],"two":[134],"periodic":[135,146],"orbits,":[136],"stable":[137],"saddle,":[139],"approach":[140],"each":[141],"other":[142],"creating":[143],"orbit,":[147],"(3)":[149],"homoclinic":[151],"transition":[152],"complex":[154],"multistable":[155],"including":[157],"an":[158],"\"eight-like\"":[159],"limit":[160],"cycle":[161],"resulting":[162],"eventually":[163],"state.":[167]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2016-06-24T00:00:00"}
