{"id":"https://openalex.org/W2050820182","doi":"https://doi.org/10.1142/s0218127409023561","title":"SYNCHRONY-BREAKING PERIOD-DOUBLING BIFURCATIONS FOR THREE-CELL HOMOGENEOUS COUPLED MAPS","display_name":"SYNCHRONY-BREAKING PERIOD-DOUBLING BIFURCATIONS FOR THREE-CELL HOMOGENEOUS COUPLED MAPS","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W2050820182","doi":"https://doi.org/10.1142/s0218127409023561","mag":"2050820182"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409023561","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023561","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/A5059754276","display_name":"Adela N Comanici","orcid":null},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"ADELA COMANICI","raw_affiliation_strings":["Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA","Department of Mathematics , Virginia Tech , Blacksburg, VA, 24061-0123, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Mathematics , Virginia Tech , Blacksburg, VA, 24061-0123, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059754276"],"corresponding_institution_ids":["https://openalex.org/I859038795"],"apc_list":null,"apc_paid":null,"fwci":0.3562,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.63242762,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"04","first_page":"1157","last_page":"1167"},"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/T10244","display_name":"Chaos control and synchronization","score":0.9825000166893005,"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/T10303","display_name":"Photosynthetic Processes and Mechanisms","score":0.9769999980926514,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/codimension","display_name":"Codimension","score":0.8109108209609985},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.7458053827285767},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6732760071754456},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.6033912897109985},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5393728017807007},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5270483493804932},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.5242129564285278},{"id":"https://openalex.org/keywords/period","display_name":"Period (music)","score":0.48307517170906067},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.4667202830314636},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4354194402694702},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4065327048301697},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.39451074600219727},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3275578022003174},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.29406213760375977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2585948705673218},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.24233153462409973},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1893250048160553},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18088281154632568},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.16816598176956177},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07189172506332397}],"concepts":[{"id":"https://openalex.org/C83979697","wikidata":"https://www.wikidata.org/wiki/Q1778247","display_name":"Codimension","level":2,"score":0.8109108209609985},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.7458053827285767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6732760071754456},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.6033912897109985},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5393728017807007},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5270483493804932},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.5242129564285278},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.48307517170906067},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.4667202830314636},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4354194402694702},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4065327048301697},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39451074600219727},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3275578022003174},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29406213760375977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2585948705673218},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.24233153462409973},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1893250048160553},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18088281154632568},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.16816598176956177},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07189172506332397},{"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409023561","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023561","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":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1965778005","https://openalex.org/W2038801293","https://openalex.org/W2045425785","https://openalex.org/W2064608742","https://openalex.org/W2097457784","https://openalex.org/W2129270652","https://openalex.org/W2150401053","https://openalex.org/W2182274314","https://openalex.org/W2487249630"],"related_works":["https://openalex.org/W1861797342","https://openalex.org/W2950310075","https://openalex.org/W4366459492","https://openalex.org/W2952962099","https://openalex.org/W2771785338","https://openalex.org/W2011180239","https://openalex.org/W2564990357","https://openalex.org/W3020535784","https://openalex.org/W2007405763","https://openalex.org/W2040935629"],"abstract_inverted_index":{"Network":[0],"architecture":[1],"can":[2],"lead":[3],"to":[4,11,91],"robust":[5],"synchrony":[6,94],"in":[7],"coupled":[8,35,43,58,79,99,106],"maps":[9,44],"and":[10],"codimension":[12,28],"one":[13,29],"bifurcations":[14,32],"from":[15],"synchronous":[16],"fixed-points":[17],"at":[18],"which":[19],"the":[20,27],"associated":[21],"Jacobian":[22],"is":[23],"nilpotent.":[24],"We":[25,84],"discuss":[26,86],"synchrony-breaking":[30],"period-doubling":[31],"for":[33,40,57,78,98,105],"three-cell":[34],"maps.":[36,107],"Interesting":[37],"phenomena":[38],"occur":[39],"all":[41],"these":[42],"\u2014":[45],"a":[46],"branch":[47],"of":[48,60,69,81,93],"period-2":[49,70],"points":[50,71],"with":[51,72],"amplitude":[52,73],"growing":[53,74],"as":[54,63,65,75],"|\u03bb|":[55,76],"\u2159":[56],"networks":[59,80],"feed-forward":[61,82],"type,":[62],"well":[64],"multiple":[66],"(two)":[67],"branches":[68],"\u00bd":[77],"type.":[83],"also":[85,103],"how":[87],"some":[88],"results":[89],"related":[90],"patterns":[92],"that":[95],"are":[96,102],"valid":[97,104],"vector":[100],"fields":[101]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
