{"id":"https://openalex.org/W2027779452","doi":"https://doi.org/10.1142/s0218127406016306","title":"OPEN-TO-CLOSED CURVES OF SADDLE-NODE BIFURCATIONS OF PERIODIC ORBITS NEAR A NONTRANSVERSAL T-POINT IN CHUA'S EQUATION","display_name":"OPEN-TO-CLOSED CURVES OF SADDLE-NODE BIFURCATIONS OF PERIODIC ORBITS NEAR A NONTRANSVERSAL T-POINT IN CHUA'S EQUATION","publication_year":2006,"publication_date":"2006-09-01","ids":{"openalex":"https://openalex.org/W2027779452","doi":"https://doi.org/10.1142/s0218127406016306","mag":"2027779452"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127406016306","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406016306","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/A5022415231","display_name":"Antonio Algaba","orcid":"https://orcid.org/0000-0001-5872-7112"},"institutions":[{"id":"https://openalex.org/I78880903","display_name":"Universidad de Huelva","ror":"https://ror.org/03a1kt624","country_code":"ES","type":"education","lineage":["https://openalex.org/I78880903"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"ANTONIO ALGABA","raw_affiliation_strings":["Dept. Mathematics, Facultad de Ciencias Experimentales, Univ. Huelva, Avda. de las Fuerzas Armadas s/n, 21071-Huelva, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. Mathematics, Facultad de Ciencias Experimentales, Univ. Huelva, Avda. de las Fuerzas Armadas s/n, 21071-Huelva, Spain","institution_ids":["https://openalex.org/I78880903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009928902","display_name":"Manuel Merino","orcid":"https://orcid.org/0000-0002-4119-680X"},"institutions":[{"id":"https://openalex.org/I78880903","display_name":"Universidad de Huelva","ror":"https://ror.org/03a1kt624","country_code":"ES","type":"education","lineage":["https://openalex.org/I78880903"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"MANUEL MERINO","raw_affiliation_strings":["Dept. Mathematics, Facultad de Ciencias Experimentales, Univ. Huelva, Avda. de las Fuerzas Armadas s/n, 21071-Huelva, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. Mathematics, Facultad de Ciencias Experimentales, Univ. Huelva, Avda. de las Fuerzas Armadas s/n, 21071-Huelva, Spain","institution_ids":["https://openalex.org/I78880903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009686190","display_name":"Fernando Fern\u00e1ndez-S\u00e1nchez","orcid":"https://orcid.org/0000-0001-5774-6717"},"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":"FERNANDO FERN\u00c1NDEZ-S\u00c1NCHEZ","raw_affiliation_strings":["Department of Applied Mathematics II, E.T.S. Ingenieros, Univ. Sevilla, Camino de los Descubrimientos s/n, 41092-Sevilla, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics II, E.T.S. Ingenieros, Univ. Sevilla, Camino de los Descubrimientos s/n, 41092-Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014510689","display_name":"Alejandro J. Rodr\u00edguez-Luis","orcid":"https://orcid.org/0000-0002-9959-0789"},"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":"ALEJANDRO J. RODR\u00cdGUEZ-LUIS","raw_affiliation_strings":["Department of Applied Mathematics II, E.T.S. Ingenieros, Univ. Sevilla, Camino de los Descubrimientos s/n, 41092-Sevilla, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics II, E.T.S. Ingenieros, Univ. Sevilla, Camino de los Descubrimientos s/n, 41092-Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.407,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.58661584,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":"09","first_page":"2637","last_page":"2647"},"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":0.9980999827384949,"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":0.9980999827384949,"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":0.9958000183105469,"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/T10244","display_name":"Chaos control and synchronization","score":0.9941999912261963,"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/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.9355330467224121},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7144250869750977},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.7043377161026001},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.6273490190505981},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5406631231307983},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5296732187271118},{"id":"https://openalex.org/keywords/cusp","display_name":"Cusp (singularity)","score":0.5268722176551819},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.5117623805999756},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4746549725532532},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.44951653480529785},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23297563195228577},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18612414598464966},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06597548723220825}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.9355330467224121},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7144250869750977},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.7043377161026001},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.6273490190505981},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5406631231307983},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5296732187271118},{"id":"https://openalex.org/C2778400075","wikidata":"https://www.wikidata.org/wiki/Q655275","display_name":"Cusp (singularity)","level":2,"score":0.5268722176551819},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.5117623805999756},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4746549725532532},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.44951653480529785},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23297563195228577},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18612414598464966},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06597548723220825},{"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/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127406016306","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127406016306","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":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1305471","https://openalex.org/W1603139886","https://openalex.org/W1964818691","https://openalex.org/W1965778005","https://openalex.org/W1968220940","https://openalex.org/W1979448288","https://openalex.org/W1999998256","https://openalex.org/W2028657164","https://openalex.org/W2035017579","https://openalex.org/W2037279909","https://openalex.org/W2037345720","https://openalex.org/W2042403685","https://openalex.org/W2060995502","https://openalex.org/W2072571188","https://openalex.org/W2107109189","https://openalex.org/W2616851730","https://openalex.org/W4213213245"],"related_works":["https://openalex.org/W2890492950","https://openalex.org/W2010606039","https://openalex.org/W3115184012","https://openalex.org/W352136236","https://openalex.org/W1999123830","https://openalex.org/W2042800579","https://openalex.org/W944345475","https://openalex.org/W1984913125","https://openalex.org/W2955054485","https://openalex.org/W2147240237"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"the":[3,37,45,55],"evolution":[4],"of":[5,8,11,14,32,39,48,51,58,60,64],"a":[6,40],"family":[7,24],"open-to-closed":[9],"curves":[10,31,63],"saddle-node":[12,65],"bifurcations":[13],"periodic":[15,52],"orbits":[16,53],"is":[17,25],"numerically":[18],"studied":[19],"in":[20,36,54],"Chua's":[21],"equation.":[22],"This":[23],"organized":[26],"by":[27],"open":[28],"and":[29],"closed":[30,62],"Shil'nikov":[33],"homoclinic":[34],"connections":[35],"presence":[38],"nontransversal":[41],"T-point.":[42],"We":[43],"remark":[44],"important":[46],"role":[47],"cusp":[49],"catastrophes":[50],"complete":[56],"mechanism":[57],"creation/destruction":[59],"such":[61],"bifurcations.":[66]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
