{"id":"https://openalex.org/W3134977413","doi":"https://doi.org/10.1103/physreve.103.032201","title":"Triple point of synchronization, phase singularity, and excitability along the transition between unbounded and bounded phase oscillations in a forced nonlinear oscillator","display_name":"Triple point of synchronization, phase singularity, and excitability along the transition between unbounded and bounded phase oscillations in a forced nonlinear oscillator","publication_year":2021,"publication_date":"2021-03-01","ids":{"openalex":"https://openalex.org/W3134977413","doi":"https://doi.org/10.1103/physreve.103.032201","mag":"3134977413","pmid":"https://pubmed.ncbi.nlm.nih.gov/33862802"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.103.032201","doi":"https://doi.org/10.1103/physreve.103.032201","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.103.032201","pdf_url":null,"source":{"id":"https://openalex.org/S4210235286","display_name":"Physical review. E","issn_l":"2470-0045","issn":["2470-0045","2470-0053","2470-0061"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10183/222846","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077836664","display_name":"Willian Tiago Prants","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I130442723","display_name":"Universidade Federal do Rio Grande do Sul","ror":"https://ror.org/041yk2d64","country_code":"BR","type":"education","lineage":["https://openalex.org/I130442723"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Willian T. Prants","raw_affiliation_strings":["Instituto de F\u00edsica, Universidade Federal do Rio Grande do Sul, 91501-970 Porto Alegre, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de F\u00edsica, Universidade Federal do Rio Grande do Sul, 91501-970 Porto Alegre, Brazil","institution_ids":["https://openalex.org/I130442723"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016245737","display_name":"Cristian Bonatto","orcid":"https://orcid.org/0000-0001-8089-9586","observed_orcids":["https://orcid.org/0000-0001-8089-9586"]},"institutions":[{"id":"https://openalex.org/I130442723","display_name":"Universidade Federal do Rio Grande do Sul","ror":"https://ror.org/041yk2d64","country_code":"BR","type":"education","lineage":["https://openalex.org/I130442723"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Cristian Bonatto","raw_affiliation_strings":["Instituto de F\u00edsica, Universidade Federal do Rio Grande do Sul, 91501-970 Porto Alegre, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de F\u00edsica, Universidade Federal do Rio Grande do Sul, 91501-970 Porto Alegre, Brazil","institution_ids":["https://openalex.org/I130442723"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130442723"],"apc_list":null,"apc_paid":null,"fwci":0.3201,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.5445685,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"103","issue":"3","first_page":"032201","last_page":"032201"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.7714999914169312,"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":0.7714999914169312,"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":0.13570000231266022,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.051899999380111694,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/phase-singularities","display_name":"phase singularities","score":0.8889999985694885},{"id":"https://openalex.org/keywords/excitability","display_name":"excitability","score":0.6349999904632568},{"id":"https://openalex.org/keywords/forced-nonlinear-oscillator","display_name":"forced nonlinear oscillator","score":0.7829999923706055},{"id":"https://openalex.org/keywords/phase-locking","display_name":"phase locking","score":0.8059999942779541},{"id":"https://openalex.org/keywords/codimension-2-bifurcation","display_name":"codimension-two bifurcation","score":0.8550000190734863},{"id":"https://openalex.org/keywords/phase-jumps","display_name":"phase jumps","score":0.4959999918937683},{"id":"https://openalex.org/keywords/phase-slip","display_name":"phase slip","score":0.6470000147819519},{"id":"https://openalex.org/keywords/weak-noise","display_name":"weak noise","score":0.6639999747276306},{"id":"https://openalex.org/keywords/limit-cycles","display_name":"limit cycles","score":0.4650000035762787},{"id":"https://openalex.org/keywords/phase-diagram","display_name":"phase diagram","score":0.42899999022483826}],"concepts":[{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.7634690999984741},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7367686033248901},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7315356731414795},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6762673258781433},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.6265803575515747},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5355560183525085},{"id":"https://openalex.org/C194027367","wikidata":"https://www.wikidata.org/wiki/Q4420475","display_name":"Phase synchronization","level":3,"score":0.5080857276916504},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5030383467674255},{"id":"https://openalex.org/C168907044","wikidata":"https://www.wikidata.org/wiki/Q7834431","display_name":"Transition point","level":2,"score":0.44532105326652527},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.4337376356124878},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4287506937980652},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4005018174648285},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.37448906898498535},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33671221137046814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19113650918006897},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1671326458454132},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.06541022658348083},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/physreve.103.032201","doi":"https://doi.org/10.1103/physreve.103.032201","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.103.032201","pdf_url":null,"source":{"id":"https://openalex.org/S4210235286","display_name":"Physical review. E","issn_l":"2470-0045","issn":["2470-0045","2470-0053","2470-0061"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","medline","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},{"id":"pmid:33862802","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33862802","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review. E","raw_type":"Journal Article"},{"id":"pmh:oai:www.lume.ufrgs.br:10183/222846","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10183/222846","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"instacron:UFRGS","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:www.lume.ufrgs.br:10183/222846","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10183/222846","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"instacron:UFRGS","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W111157985","https://openalex.org/W182919013","https://openalex.org/W375233825","https://openalex.org/W748057769","https://openalex.org/W950991549","https://openalex.org/W1487210357","https://openalex.org/W1546721432","https://openalex.org/W1884621538","https://openalex.org/W1954262713","https://openalex.org/W1966337493","https://openalex.org/W1970464880","https://openalex.org/W1998123968","https://openalex.org/W2003743055","https://openalex.org/W2003755764","https://openalex.org/W2004054074","https://openalex.org/W2015035622","https://openalex.org/W2015656333","https://openalex.org/W2041432995","https://openalex.org/W2041655202","https://openalex.org/W2045815747","https://openalex.org/W2048057206","https://openalex.org/W2058609160","https://openalex.org/W2064539980","https://openalex.org/W2066396621","https://openalex.org/W2072700524","https://openalex.org/W2072837819","https://openalex.org/W2086164071","https://openalex.org/W2086824275","https://openalex.org/W2088678566","https://openalex.org/W2089468210","https://openalex.org/W2089876099","https://openalex.org/W2100972915","https://openalex.org/W2106687953","https://openalex.org/W2107812076","https://openalex.org/W2109403803","https://openalex.org/W2114385471","https://openalex.org/W2119443761","https://openalex.org/W2142940288","https://openalex.org/W2163010909","https://openalex.org/W2242041549","https://openalex.org/W2312958417","https://openalex.org/W2325035739","https://openalex.org/W2327616116","https://openalex.org/W2401577158","https://openalex.org/W2414247527","https://openalex.org/W2424457074","https://openalex.org/W2484774270","https://openalex.org/W2526913831","https://openalex.org/W2531399591","https://openalex.org/W2604521331","https://openalex.org/W2736906463","https://openalex.org/W2901328641","https://openalex.org/W2904326728","https://openalex.org/W2917885999","https://openalex.org/W2959585144","https://openalex.org/W2967735627","https://openalex.org/W4233230200","https://openalex.org/W4248004290","https://openalex.org/W4249480005"],"related_works":["https://openalex.org/W2579138801","https://openalex.org/W7201861384","https://openalex.org/W2044165635","https://openalex.org/W566203531","https://openalex.org/W2121380907","https://openalex.org/W2006858453","https://openalex.org/W2080094428","https://openalex.org/W4400915113","https://openalex.org/W2050368948","https://openalex.org/W184827134"],"abstract_inverted_index":{"We":[0],"report":[1],"the":[2,9,31,56,60,66,78,88,100,104,108,132,137,145,173,177],"discovery":[3],"of":[4,12,46,59,90,131,148,163],"a":[5,13,20,50,73,84,112,115,120],"codimension-two":[6],"phenomenon":[7,33,179],"in":[8,123],"phase":[10,67,74,97,117,124,133,157],"diagram":[11,68],"second-order":[14],"self-sustained":[15],"nonlinear":[16],"oscillator":[17,110],"subject":[18],"to":[19,83,136],"constant":[21],"external":[22],"periodic":[23],"forcing,":[24],"around":[25],"which":[26],"three":[27],"regimes":[28,89],"associated":[29,171],"with":[30,55,114,153,172],"synchronization":[32,47],"exist,":[34],"namely":[35],"phase-locking,":[36,39],"frequency-locking":[37],"without":[38,96,155],"and":[40,93,154,166],"frequency-unlocking":[41],"states.":[42],"The":[43,161],"triple":[44,79,138],"point":[45],"arises":[48],"when":[49],"saddle-node":[51],"homoclinic":[52],"cycle":[53],"collides":[54],"zero-amplitude":[57],"state":[58],"forced":[61,109],"oscillator.":[62],"A":[63],"line":[64],"on":[65],"where":[69,103,144],"limit-cycle":[70],"solutions":[71],"contain":[72],"singularity":[75],"departs":[76],"from":[77],"point,":[80,139],"giving":[81],"rise":[82],"codimension-one":[85],"transition":[86,106,174],"between":[87],"frequency":[91,94],"unlocking":[92],"locking":[95],"locking.":[98],"At":[99],"parameter":[101],"values":[102],"critical":[105],"occurs,":[107],"exhibits":[111],"separatrix":[113],"\u03c0":[116],"jump,":[118],"i.e.,":[119,151],"particular":[121],"trajectory":[122],"space":[125],"that":[126],"separates":[127],"two":[128,146],"distinct":[129],"behaviors":[130],"dynamics.":[134],"Close":[135],"noise":[140,165],"induces":[141],"excitable":[142],"pulses":[143,152],"variants":[147],"type-I":[149],"excitability,":[150],"2\u03c0":[156],"slips,":[158],"appear":[159],"stochastically.":[160],"impacts":[162],"weak":[164],"some":[167],"other":[168],"dynamical":[169],"aspects":[170],"induced":[175],"by":[176],"singular":[178],"are":[180],"also":[181],"discussed.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-03-15T00:00:00"}
