{"id":"https://openalex.org/W4248301547","doi":"https://doi.org/10.22541/au.158121176.67030957","title":"ZERO-HOPF BIFURCATION OF A QUARTIC SYSTEM OBTAINED FROM A SCALAR THIRD ORDER ORDINARY DIFFERENTIAL EQUATION","display_name":"ZERO-HOPF BIFURCATION OF A QUARTIC SYSTEM OBTAINED FROM A SCALAR THIRD ORDER ORDINARY DIFFERENTIAL EQUATION","publication_year":2020,"publication_date":"2020-02-08","ids":{"openalex":"https://openalex.org/W4248301547","doi":"https://doi.org/10.22541/au.158121176.67030957"},"language":"en","primary_location":{"id":"doi:10.22541/au.158121176.67030957","doi":"https://doi.org/10.22541/au.158121176.67030957","is_oa":true,"landing_page_url":"https://doi.org/10.22541/au.158121176.67030957","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"parent_works":[],"lineage":["https://openalex.org/W4248301547"],"child_works_count":0,"type":"preprint","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.22541/au.158121176.67030957","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075060773","display_name":"Zouhair Diab","orcid":"https://orcid.org/0000-0002-9657-7706","observed_orcids":["https://orcid.org/0000-0002-9657-7706"]},"institutions":[{"id":"https://openalex.org/I4210095290","display_name":"Universit\u00e9 Larbi T\u00e9bessi","ror":"https://ror.org/00tnac320","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210095290"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Zouhair Diab","raw_affiliation_strings":["University of Tebessa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Tebessa","institution_ids":["https://openalex.org/I4210095290"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075060773"],"corresponding_institution_ids":["https://openalex.org/I4210095290"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.9994999766349792,"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":0.9994999766349792,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10244","display_name":"Chaos control and synchronization","score":0.0,"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/zero-hopf-bifurcation","display_name":"zero-Hopf bifurcation","score":0.9990000128746033},{"id":"https://openalex.org/keywords/three-dimensional-dynamical-systems","display_name":"three-dimensional dynamical systems","score":0.7179999947547913},{"id":"https://openalex.org/keywords/third-order-ordinary-differential-equations","display_name":"third-order ordinary differential equations","score":0.7889999747276306},{"id":"https://openalex.org/keywords/bifurcation-analysis","display_name":"bifurcation analysis","score":0.8309999704360962}],"concepts":[{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.6949170827865601},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6802223920822144},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.6670400500297546},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5935867428779602},{"id":"https://openalex.org/C2993784581","wikidata":"https://www.wikidata.org/wiki/Q8069600","display_name":"Zero order","level":3,"score":0.5738409757614136},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.5581212043762207},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.550787627696991},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5380223989486694},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.4521971344947815},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.43241119384765625},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4155101776123047},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.3671865165233612},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3638991713523865},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.30023863911628723},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2154323160648346},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20720532536506653},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2056804597377777},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09655576944351196},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09506413340568542},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05013144016265869},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.22541/au.158121176.67030957","doi":"https://doi.org/10.22541/au.158121176.67030957","is_oa":true,"landing_page_url":"https://doi.org/10.22541/au.158121176.67030957","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.22541/au.158121176.67030957","doi":"https://doi.org/10.22541/au.158121176.67030957","is_oa":true,"landing_page_url":"https://doi.org/10.22541/au.158121176.67030957","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3199454809","https://openalex.org/W2731125739","https://openalex.org/W3177462607","https://openalex.org/W7057331883","https://openalex.org/W2080582632","https://openalex.org/W2794477286","https://openalex.org/W4408282468","https://openalex.org/W2040439185","https://openalex.org/W859617118"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"study":[4],"the":[5,13,23],"zero-Hopf":[6],"bifurcation":[7],"of":[8],"a":[9,21],"quartic":[10],"system":[11],"in":[12],"three-dimensional":[14],"space":[15],"which":[16],"can":[17],"be":[18],"obtained":[19],"from":[20],"scalar":[22],"third-order":[24],"ordinary":[25],"differential":[26],"equation.":[27]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2022-05-12T00:00:00"}