{"id":"https://openalex.org/W2606658817","doi":"https://doi.org/10.1142/s0218127417500341","title":"A Generalist Predator and the Planar Zero-Hopf Bifurcation","display_name":"A Generalist Predator and the Planar Zero-Hopf Bifurcation","publication_year":2017,"publication_date":"2017-03-01","ids":{"openalex":"https://openalex.org/W2606658817","doi":"https://doi.org/10.1142/s0218127417500341","mag":"2606658817"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127417500341","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127417500341","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/A5102262289","display_name":"Luis Miguel Valenzuela","orcid":"https://orcid.org/0000-0002-9918-3032"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luis Miguel Valenzuela","raw_affiliation_strings":["Divisi\u00f3n Acad\u00e9mica Multidisciplinaria de Jalpa de M\u00e9ndez, UJAT, Carretera Nacajuca-Jalpa de M\u00e9ndez, R/a Rivera Alta, c.p. 86205, Jalpa de M\u00e9ndez, Tabasco, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Divisi\u00f3n Acad\u00e9mica Multidisciplinaria de Jalpa de M\u00e9ndez, UJAT, Carretera Nacajuca-Jalpa de M\u00e9ndez, R/a Rivera Alta, c.p. 86205, Jalpa de M\u00e9ndez, Tabasco, M\u00e9xico","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060153885","display_name":"Manuel Falconi","orcid":"https://orcid.org/0000-0002-4296-7258"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Manuel Falconi","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Facultad de Ciencias, UNAM, C. Universitaria, c.p. 04510, M\u00e9xico, D.F., M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Facultad de Ciencias, UNAM, C. Universitaria, c.p. 04510, M\u00e9xico, D.F., M\u00e9xico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087518889","display_name":"Gamaliel Bl\u00e9","orcid":"https://orcid.org/0000-0002-9796-6455"},"institutions":[{"id":"https://openalex.org/I93173995","display_name":"Universidad Ju\u00e1rez Aut\u00f3noma de Tabasco","ror":"https://ror.org/04ee58018","country_code":"MX","type":"education","lineage":["https://openalex.org/I93173995"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Gamaliel Bl\u00e9","raw_affiliation_strings":["Divisi\u00f3n Acad\u00e9mica de Ciencias B\u00e1sicas, UJAT, Km 1 Carretera Cunduac\u00e1n-Jalpa, c.p. 86690, Cunduac\u00e1n Tabasco, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Divisi\u00f3n Acad\u00e9mica de Ciencias B\u00e1sicas, UJAT, Km 1 Carretera Cunduac\u00e1n-Jalpa, c.p. 86690, Cunduac\u00e1n Tabasco, M\u00e9xico","institution_ids":["https://openalex.org/I93173995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2257,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76896446,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"27","issue":"03","first_page":"1750034","last_page":"1750034"},"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":0.9991999864578247,"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":0.9991999864578247,"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":0.9984999895095825,"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"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9909999966621399,"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/bogdanov\u2013takens-bifurcation","display_name":"Bogdanov\u2013Takens bifurcation","score":0.8078000545501709},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7822138071060181},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7707071900367737},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.7692630290985107},{"id":"https://openalex.org/keywords/transcritical-bifurcation","display_name":"Transcritical bifurcation","score":0.7439940571784973},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.676266074180603},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.6353079080581665},{"id":"https://openalex.org/keywords/period-doubling-bifurcation","display_name":"Period-doubling bifurcation","score":0.5347344875335693},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.5162639617919922},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.5025339126586914},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4654897451400757},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4326363503932953},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4285566210746765},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11111462116241455},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09663447737693787}],"concepts":[{"id":"https://openalex.org/C22257346","wikidata":"https://www.wikidata.org/wiki/Q4937510","display_name":"Bogdanov\u2013Takens bifurcation","level":5,"score":0.8078000545501709},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7822138071060181},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7707071900367737},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.7692630290985107},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.7439940571784973},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.676266074180603},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.6353079080581665},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.5347344875335693},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.5162639617919922},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.5025339126586914},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4654897451400757},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4326363503932953},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4285566210746765},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11111462116241455},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09663447737693787},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127417500341","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127417500341","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/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1550180463","https://openalex.org/W1969027200","https://openalex.org/W1992686598","https://openalex.org/W2010265353","https://openalex.org/W2014368710","https://openalex.org/W2017335847","https://openalex.org/W2050900164","https://openalex.org/W2063840822","https://openalex.org/W2074610367","https://openalex.org/W2125594969","https://openalex.org/W2317959947","https://openalex.org/W2329551434","https://openalex.org/W2346052049","https://openalex.org/W4205940222","https://openalex.org/W4245586707","https://openalex.org/W4248840154"],"related_works":["https://openalex.org/W2356715721","https://openalex.org/W2546487931","https://openalex.org/W2110197045","https://openalex.org/W2078078632","https://openalex.org/W1982778171","https://openalex.org/W1594652328","https://openalex.org/W1976081455","https://openalex.org/W3040509139","https://openalex.org/W1663903751","https://openalex.org/W4281733204"],"abstract_inverted_index":{"A":[0],"typical":[1],"approach":[2],"for":[3],"searching":[4],"periodic":[5],"orbits":[6],"of":[7,23,51],"planar":[8,39],"dynamical":[9],"systems":[10],"is":[11],"through":[12],"the":[13,45,49,52,56],"Hopf":[14,35,72],"bifurcation.":[15,73],"In":[16],"this":[17],"work":[18],"we":[19],"present":[20],"a":[21,27,34,38,66,71],"family":[22],"predator\u2013prey":[24],"models":[25,64],"with":[26,65],"generalist":[28],"predator":[29,68],"which":[30],"does":[31],"not":[32],"exhibit":[33],"bifurcation,":[36],"but":[37],"zero-Hopf":[40],"bifurcation;":[41],"that":[42],"means,":[43],"in":[44],"whole":[46],"bifurcation":[47],"process":[48],"eigenvalues":[50],"linear":[53],"approximation":[54],"around":[55],"equilibrium":[57],"points":[58],"remain":[59],"as":[60],"pure":[61],"imaginary.":[62],"Similar":[63],"nongeneralist":[67],"always":[69],"possess":[70]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
