{"id":"https://openalex.org/W2109374264","doi":"https://doi.org/10.1142/s0218127405012739","title":"HOMOCLINIC CONNECTIONS NEAR A BELYAKOV POINT IN CHUA'S EQUATION","display_name":"HOMOCLINIC CONNECTIONS NEAR A BELYAKOV POINT IN CHUA'S EQUATION","publication_year":2005,"publication_date":"2005-04-01","ids":{"openalex":"https://openalex.org/W2109374264","doi":"https://doi.org/10.1142/s0218127405012739","mag":"2109374264"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127405012739","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405012739","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":"A. ALGABA","raw_affiliation_strings":["Dept. Mathematics, Fac. Ciencias Experimentales, Univ. Huelva, Avda de las Fuerzas Armadas s/n, 21071 Huelva, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. Mathematics, Fac. 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":"M. MERINO","raw_affiliation_strings":["Dept. Mathematics, Fac. Ciencias Experimentales, Univ. Huelva, Avda de las Fuerzas Armadas s/n, 21071 Huelva, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. Mathematics, Fac. Ciencias Experimentales, Univ. Huelva, Avda de las Fuerzas Armadas s/n, 21071 Huelva, Spain","institution_ids":["https://openalex.org/I78880903"]}]},{"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":"A. J. RODR\u00cdGUEZ-LUIS","raw_affiliation_strings":["Dept. Applied Mathematics II, E.S. Ingenieros, Univ. Sevilla, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. Applied Mathematics II, E.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":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.18409533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"15","issue":"04","first_page":"1239","last_page":"1252"},"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":0.9990000128746033,"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":0.9990000128746033,"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":0.9986000061035156,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.9851666688919067},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.7508552670478821},{"id":"https://openalex.org/keywords/equilibrium-point","display_name":"Equilibrium point","score":0.6580727100372314},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.624051034450531},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5900917053222656},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5725339651107788},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.553505539894104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.531023383140564},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.5229904651641846},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.44661420583724976},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.42960184812545776},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.42714163661003113},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3281877040863037},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14382100105285645},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.14173313975334167},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.13804519176483154},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08045816421508789},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.0801997184753418}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.9851666688919067},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7508552670478821},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.6580727100372314},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.624051034450531},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5900917053222656},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5725339651107788},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.553505539894104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.531023383140564},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.5229904651641846},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.44661420583724976},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.42960184812545776},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.42714163661003113},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3281877040863037},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14382100105285645},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.14173313975334167},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.13804519176483154},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08045816421508789},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0801997184753418},{"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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":1,"locations":[{"id":"doi:10.1142/s0218127405012739","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405012739","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":19,"referenced_works":["https://openalex.org/W1596321532","https://openalex.org/W1603139886","https://openalex.org/W1966638971","https://openalex.org/W1967520985","https://openalex.org/W1968220940","https://openalex.org/W1979881100","https://openalex.org/W1991665978","https://openalex.org/W2028657164","https://openalex.org/W2036210476","https://openalex.org/W2037345720","https://openalex.org/W2051631404","https://openalex.org/W2060720651","https://openalex.org/W2072571188","https://openalex.org/W2073532412","https://openalex.org/W2089876099","https://openalex.org/W2091314510","https://openalex.org/W2092680287","https://openalex.org/W4214513274","https://openalex.org/W4233220581"],"related_works":["https://openalex.org/W2890492950","https://openalex.org/W3115184012","https://openalex.org/W2010606039","https://openalex.org/W2397038510","https://openalex.org/W9644552","https://openalex.org/W1906329374","https://openalex.org/W1964759045","https://openalex.org/W2313034084","https://openalex.org/W2009600486","https://openalex.org/W4287683912"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"the":[3,22,33,37,52],"distribution":[4],"and":[5,12],"organization":[6],"of":[7,24,54],"different":[8],"homoclinic":[9,38],"orbits":[10],"(double-":[11],"triple-pulse)":[13],"in":[14,21,36,51,57],"a":[15,25,30],"\u21242-symmetric":[16],"three-dimensional":[17],"system":[18],"are":[19,48],"studied":[20],"vicinity":[23],"Belyakov":[26],"point,":[27],"that":[28],"is,":[29],"point":[31],"where":[32],"involved":[34],"equilibrium":[35],"connection":[39],"changes":[40],"from":[41],"saddle-node":[42],"to":[43],"saddle-focus.":[44],"The":[45],"analytical":[46],"results":[47],"successfully":[49],"applied":[50],"study":[53],"such":[55],"degeneration":[56],"Chua's":[58],"equation.":[59]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}