{"id":"https://openalex.org/W2226136747","doi":"https://doi.org/10.1142/s0218127415501801","title":"Periodic Solutions of a Periodic FitzHugh\u2013Nagumo System","display_name":"Periodic Solutions of a Periodic FitzHugh\u2013Nagumo System","publication_year":2015,"publication_date":"2015-12-15","ids":{"openalex":"https://openalex.org/W2226136747","doi":"https://doi.org/10.1142/s0218127415501801","mag":"2226136747"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127415501801","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415501801","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":true,"oa_status":"green","oa_url":"https://ddd.uab.cat/record/169428","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046015548","display_name":"Jaume Llibre","orcid":"https://orcid.org/0000-0002-9511-5999"},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jaume Llibre","raw_affiliation_strings":["Departament de Matem\u00e0tiques, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain","institution_ids":["https://openalex.org/I123044942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026593361","display_name":"Cl\u00e1udio Vidal","orcid":"https://orcid.org/0000-0002-1630-0898"},"institutions":[{"id":"https://openalex.org/I221450849","display_name":"University of B\u00edo-B\u00edo","ror":"https://ror.org/04dndfk38","country_code":"CL","type":"education","lineage":["https://openalex.org/I221450849"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Claudio Vidal","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidad del Bio Bio, Concepci\u00f3n, Avda. Collao 1202, Chile"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidad del Bio Bio, Concepci\u00f3n, Avda. Collao 1202, Chile","institution_ids":["https://openalex.org/I221450849"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046015548"],"corresponding_institution_ids":["https://openalex.org/I123044942"],"apc_list":null,"apc_paid":null,"fwci":1.0553,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76985337,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"25","issue":"13","first_page":"1550180","last_page":"1550180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9994000196456909,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5107135772705078},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4649224579334259},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.43685829639434814},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3936358690261841},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3405419588088989},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2624069154262543},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2184947431087494},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.050250351428985596}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5107135772705078},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4649224579334259},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.43685829639434814},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3936358690261841},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3405419588088989},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2624069154262543},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2184947431087494},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.050250351428985596},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127415501801","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415501801","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:ddd.uab.cat:169428","is_oa":true,"landing_page_url":"https://ddd.uab.cat/record/169428","pdf_url":"https://ddd.uab.cat/record/169428","source":{"id":"https://openalex.org/S4306400380","display_name":"Dip\u00f2sit Digital de Documents de la UAB (Universitat Aut\u00f2noma de Barcelona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123044942","host_organization_name":"Universitat Aut\u00f2noma de Barcelona","host_organization_lineage":["https://openalex.org/I123044942"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:ddd.uab.cat:169428","is_oa":true,"landing_page_url":"https://ddd.uab.cat/record/169428","pdf_url":"https://ddd.uab.cat/record/169428","source":{"id":"https://openalex.org/S4306400380","display_name":"Dip\u00f2sit Digital de Documents de la UAB (Universitat Aut\u00f2noma de Barcelona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123044942","host_organization_name":"Universitat Aut\u00f2noma de Barcelona","host_organization_lineage":["https://openalex.org/I123044942"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1224945033","display_name":null,"funder_award_id":"FEDER","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G1443605836","display_name":null,"funder_award_id":"2009SGR 410","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G2238944060","display_name":null,"funder_award_id":"316338","funder_id":"https://openalex.org/F4320322121","funder_display_name":"Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats"},{"id":"https://openalex.org/G2283246676","display_name":null,"funder_award_id":"FP7-PEOPLE-2012-IRSES-316338","funder_id":"https://openalex.org/F4320338368","funder_display_name":"FP7 People: Marie-Curie Actions"},{"id":"https://openalex.org/G2729745325","display_name":null,"funder_award_id":"2009SGR 410","funder_id":"https://openalex.org/F4320322121","funder_display_name":"Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats"},{"id":"https://openalex.org/G4063829774","display_name":null,"funder_award_id":"ICREA","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G4915417248","display_name":null,"funder_award_id":"316338","funder_id":"https://openalex.org/F4320338368","funder_display_name":"FP7 People: Marie-Curie Actions"},{"id":"https://openalex.org/G4953999938","display_name":null,"funder_award_id":"FP7-PEOPLE-2012-IRSES-316338","funder_id":"https://openalex.org/F4320322121","funder_display_name":"Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats"},{"id":"https://openalex.org/G6546924280","display_name":null,"funder_award_id":"316338","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G8183462516","display_name":null,"funder_award_id":"AGAUR","funder_id":"https://openalex.org/F4320322121","funder_display_name":"Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats"},{"id":"https://openalex.org/G8509535591","display_name":null,"funder_award_id":"2009SGR 410","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320322121","display_name":"Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats","ror":"https://ror.org/0371hy230"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320334830","display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca","ror":"https://ror.org/01n4pqe45"},{"id":"https://openalex.org/F4320338368","display_name":"FP7 People: Marie-Curie Actions","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2226136747.pdf"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W1664450181","https://openalex.org/W1954326660","https://openalex.org/W1985940938","https://openalex.org/W1992450291","https://openalex.org/W1996481391","https://openalex.org/W2009375605","https://openalex.org/W2027742880","https://openalex.org/W2061191702","https://openalex.org/W2092714395","https://openalex.org/W4255777804","https://openalex.org/W4292874936"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"Recently":[0],"some":[1],"interest":[2],"has":[3],"appeared":[4],"for":[5,16],"the":[6,17],"periodic":[7,20],"FitzHugh\u2013Nagumo":[8],"differential":[9,24],"systems.":[10,25],"Here,":[11],"we":[12],"provide":[13],"sufficient":[14],"conditions":[15],"existence":[18],"of":[19],"solutions":[21],"in":[22],"such":[23]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}