{"id":"https://openalex.org/W1985356785","doi":"https://doi.org/10.1142/s0218127404010072","title":"BI-SPIRALING HOMOCLINIC CURVES AROUND A T-POINT IN CHUA'S EQUATION","display_name":"BI-SPIRALING HOMOCLINIC CURVES AROUND A T-POINT IN CHUA'S EQUATION","publication_year":2004,"publication_date":"2004-05-01","ids":{"openalex":"https://openalex.org/W1985356785","doi":"https://doi.org/10.1142/s0218127404010072","mag":"1985356785"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127404010072","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404010072","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/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":["Departamento de Matem\u00e1tica Aplicada II,  E.S. Ingenieros, University Sevilla,  Camino de los Descubrimientos s/n, 41092 Sevilla, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada II,  E.S. Ingenieros, University Sevilla,  Camino de los Descubrimientos s/n, 41092 Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079661353","display_name":"E. Freire","orcid":"https://orcid.org/0000-0001-5852-0699"},"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":"EMILIO FREIRE","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada II,  E.S. Ingenieros, University Sevilla,  Camino de los Descubrimientos s/n, 41092 Sevilla, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada II,  E.S. Ingenieros, University 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":["Departamento de Matem\u00e1tica Aplicada II,  E.S. Ingenieros, University Sevilla,  Camino de los Descubrimientos s/n, 41092 Sevilla, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada II,  E.S. Ingenieros, University Sevilla,  Camino de los Descubrimientos s/n, 41092 Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I79238269"],"apc_list":null,"apc_paid":null,"fwci":0.4125,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.57322378,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"14","issue":"05","first_page":"1789","last_page":"1793"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9958999752998352,"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/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/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.9629656672477722},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.7224814891815186},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.6407164335250854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6378749012947083},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5833141803741455},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5531856417655945},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5523286461830139},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5317246913909912},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.5143876671791077},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5099273920059204},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4870763123035431},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.47737690806388855},{"id":"https://openalex.org/keywords/spiral","display_name":"Spiral (railway)","score":0.434914767742157},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4210396111011505},{"id":"https://openalex.org/keywords/heteroclinic-orbit","display_name":"Heteroclinic orbit","score":0.4100155532360077},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2263093888759613},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22475293278694153},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.14197275042533875},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06009066104888916}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.9629656672477722},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.7224814891815186},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.6407164335250854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6378749012947083},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5833141803741455},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5531856417655945},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5523286461830139},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5317246913909912},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.5143876671791077},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5099273920059204},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4870763123035431},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.47737690806388855},{"id":"https://openalex.org/C174128100","wikidata":"https://www.wikidata.org/wiki/Q846907","display_name":"Spiral (railway)","level":2,"score":0.434914767742157},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4210396111011505},{"id":"https://openalex.org/C184481792","wikidata":"https://www.wikidata.org/wiki/Q1992087","display_name":"Heteroclinic orbit","level":5,"score":0.4100155532360077},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2263093888759613},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22475293278694153},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.14197275042533875},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06009066104888916},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127404010072","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127404010072","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1305471","https://openalex.org/W1603139886","https://openalex.org/W1629573449","https://openalex.org/W1979448288","https://openalex.org/W1999998256","https://openalex.org/W2011504356","https://openalex.org/W2028657164","https://openalex.org/W2037279909","https://openalex.org/W2041479965","https://openalex.org/W2042403685","https://openalex.org/W2043129778","https://openalex.org/W2072571188","https://openalex.org/W2085884980","https://openalex.org/W2089876099","https://openalex.org/W4214513274"],"related_works":["https://openalex.org/W1999123830","https://openalex.org/W2072009444","https://openalex.org/W3151500797","https://openalex.org/W2350473807","https://openalex.org/W3142626835","https://openalex.org/W2157138821","https://openalex.org/W3145975296","https://openalex.org/W2084618729","https://openalex.org/W3115184012","https://openalex.org/W2623381607"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"the":[3,26,46,55,63,67,71],"existence":[4,56],"of":[5,7,57,66],"curves":[6],"homoclinic":[8,27],"connections":[9],"that":[10],"bi-spiral":[11],"around":[12],"a":[13,32,35,42],"T-point":[14,33],"between":[15,62],"two":[16],"saddle-focus":[17],"equilibria":[18,69],"is":[19,52],"detected":[20],"in":[21,34],"Chua's":[22],"equation.":[23],"That":[24],"is,":[25],"curve":[28],"emerges":[29],"spiraling":[30],"from":[31],"parameter":[36],"bifurcation":[37],"plane":[38],"and":[39],"ends,":[40],"by":[41],"different":[43],"spiral,":[44],"at":[45,70],"same":[47],"T-point.":[48,72],"This":[49],"new":[50],"phenomenon":[51],"related":[53],"to":[54],"more":[58],"than":[59],"one":[60],"intersection":[61],"two-dimensional":[64],"manifolds":[65],"involved":[68]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}