{"id":"https://openalex.org/W1986167884","doi":"https://doi.org/10.1137/130926602","title":"A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators","display_name":"A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1986167884","doi":"https://doi.org/10.1137/130926602","mag":"1986167884"},"language":"en","primary_location":{"id":"doi:10.1137/130926602","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130926602","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","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/A5059271768","display_name":"Rub\u00e9n Gustavo Paccosi","orcid":null},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Rub\u00e9n Gustavo Paccosi","raw_affiliation_strings":["University of Seville ,"],"affiliations":[{"raw_affiliation_string":"University of Seville ,","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050774707","display_name":"A. Figliola","orcid":null},"institutions":[{"id":"https://openalex.org/I35953669","display_name":"National University of General Sarmiento","ror":"https://ror.org/01k6h2m87","country_code":"AR","type":"education","lineage":["https://openalex.org/I35953669"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Alejandra Figliola","raw_affiliation_strings":["Instituto del Desarrollo Humano, Universidad Nacional de General Sarmiento, 1613 Los Polvorines, Buenos Aires, Argentina"],"affiliations":[{"raw_affiliation_string":"Instituto del Desarrollo Humano, Universidad Nacional de General Sarmiento, 1613 Los Polvorines, Buenos Aires, Argentina","institution_ids":["https://openalex.org/I35953669"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101898673","display_name":"J. Gal\u00e1n","orcid":"https://orcid.org/0000-0003-3801-470X"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jorge Gal\u00e1n-Vioque","raw_affiliation_strings":["University of Seville ,"],"affiliations":[{"raw_affiliation_string":"University of Seville ,","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059271768"],"corresponding_institution_ids":["https://openalex.org/I79238269"],"apc_list":null,"apc_paid":null,"fwci":0.7235,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.73999321,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"3","first_page":"1152","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":0.9994000196456909,"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":0.9994000196456909,"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":0.9959999918937683,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9925000071525574,"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/van-der-pol-oscillator","display_name":"Van der Pol oscillator","score":0.9121729135513306},{"id":"https://openalex.org/keywords/multistability","display_name":"Multistability","score":0.9006203413009644},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.7781785726547241},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.6154521703720093},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.577125072479248},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5098349452018738},{"id":"https://openalex.org/keywords/heteroclinic-bifurcation","display_name":"Heteroclinic bifurcation","score":0.49516263604164124},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4929635524749756},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.480647474527359},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.46492934226989746},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.4385104477405548},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.4373681843280792},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.4295884966850281},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41509056091308594},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.37723010778427124},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2516234517097473},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.23555904626846313},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14346075057983398}],"concepts":[{"id":"https://openalex.org/C98010927","wikidata":"https://www.wikidata.org/wiki/Q2081515","display_name":"Van der Pol oscillator","level":3,"score":0.9121729135513306},{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.9006203413009644},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.7781785726547241},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.6154521703720093},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.577125072479248},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5098349452018738},{"id":"https://openalex.org/C73888704","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Heteroclinic bifurcation","level":5,"score":0.49516263604164124},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4929635524749756},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.480647474527359},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.46492934226989746},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.4385104477405548},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4373681843280792},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.4295884966850281},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41509056091308594},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.37723010778427124},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2516234517097473},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.23555904626846313},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14346075057983398}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/130926602","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130926602","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2016851323","display_name":null,"funder_award_id":"MINECO","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G400456318","display_name":null,"funder_award_id":"MTM2012-31821","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W649532222","https://openalex.org/W1546721432","https://openalex.org/W1593286454","https://openalex.org/W1596321532","https://openalex.org/W1620414136","https://openalex.org/W1876456565","https://openalex.org/W1969177117","https://openalex.org/W1975311505","https://openalex.org/W1992432228","https://openalex.org/W1993764847","https://openalex.org/W1994083843","https://openalex.org/W1998204666","https://openalex.org/W1999889223","https://openalex.org/W2002475404","https://openalex.org/W2019474388","https://openalex.org/W2021958051","https://openalex.org/W2027748417","https://openalex.org/W2028456985","https://openalex.org/W2049052536","https://openalex.org/W2049648407","https://openalex.org/W2065544049","https://openalex.org/W2071313546","https://openalex.org/W2076564717","https://openalex.org/W2079223726","https://openalex.org/W2081231681","https://openalex.org/W2082760835","https://openalex.org/W2087916841","https://openalex.org/W2089468210","https://openalex.org/W2089876099","https://openalex.org/W2147959172","https://openalex.org/W2149948510","https://openalex.org/W2154349247","https://openalex.org/W2155104937","https://openalex.org/W2159653980","https://openalex.org/W2168204108","https://openalex.org/W2513153766","https://openalex.org/W3103777365","https://openalex.org/W3106534923","https://openalex.org/W4252911570"],"related_works":["https://openalex.org/W2143885661","https://openalex.org/W2049615654","https://openalex.org/W2022169289","https://openalex.org/W4386772607","https://openalex.org/W2118185506","https://openalex.org/W1109308563","https://openalex.org/W2021345684","https://openalex.org/W2505749709","https://openalex.org/W2550672208","https://openalex.org/W2041250501"],"abstract_inverted_index":{"We":[0],"undertake":[1],"a":[2,6,77,81],"bifurcation":[3,58],"analysis":[4],"of":[5,10,24,44,55,59,73],"velocity":[7],"coupled":[8],"system":[9],"two":[11],"classical":[12,50],"nonidentical":[13],"Van":[14],"der":[15],"Pol":[16],"oscillators":[17],"to":[18],"understand":[19],"the":[20,34,37,88,91],"appearance":[21],"and":[22,36,46,66,76,93],"structure":[23,65],"$1$:$k$":[25],"parameter":[26],"regions":[27,41],"with":[28,62],"synchronized":[29],"states":[30],"as":[31],"we":[32],"vary":[33],"coupling":[35],"frequency":[38],"mismatch.":[39],"These":[40],"include":[42],"multistability":[43],"solutions":[45],"are":[47],"formed":[48],"by":[49,53,71,80],"tongues":[51],"bordered":[52],"curves":[54,72],"limit":[56],"point":[57],"periodic":[60],"orbits":[61],"an":[63,67],"isola":[64],"additional":[68],"subregion":[69],"surrounded":[70],"torus":[74],"bifurcations":[75],"curve":[78],"characterized":[79],"geometrical":[82],"tangency":[83],"condition.":[84],"Symmetry":[85],"arguments":[86],"explain":[87],"difference":[89],"between":[90],"even":[92],"odd":[94],"$k$":[95],"cases.":[96]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}
