{"id":"https://openalex.org/W2015358188","doi":"https://doi.org/10.1142/s0218127411028453","title":"DYNAMICS AT INFINITY OF A CUBIC CHUA'S SYSTEM","display_name":"DYNAMICS AT INFINITY OF A CUBIC CHUA'S SYSTEM","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2015358188","doi":"https://doi.org/10.1142/s0218127411028453","mag":"2015358188"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127411028453","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411028453","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/A5059877036","display_name":"Marcelo Messias","orcid":"https://orcid.org/0000-0003-2269-7091"},"institutions":[{"id":"https://openalex.org/I879563668","display_name":"Universidade Estadual Paulista (Unesp)","ror":"https://ror.org/00987cb86","country_code":"BR","type":"education","lineage":["https://openalex.org/I879563668"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"MARCELO MESSIAS","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Estat\u00edstica e Computa\u00e7\u00e3o, Faculdade de Ci\u00eancias e Tecnologia, UNESP \u2013 Univ Estadual Paulista, Cx. Postal 266, 19060-900, Presidente Prudente, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Estat\u00edstica e Computa\u00e7\u00e3o, Faculdade de Ci\u00eancias e Tecnologia, UNESP \u2013 Univ Estadual Paulista, Cx. Postal 266, 19060-900, Presidente Prudente, SP, Brazil","institution_ids":["https://openalex.org/I879563668"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059877036"],"corresponding_institution_ids":["https://openalex.org/I879563668"],"apc_list":null,"apc_paid":null,"fwci":1.1021,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.75191311,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"21","issue":"01","first_page":"333","last_page":"340"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9975000023841858,"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":0.9911999702453613,"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/phase-portrait","display_name":"Phase portrait","score":0.85457843542099},{"id":"https://openalex.org/keywords/compactification","display_name":"Compactification (mathematics)","score":0.8286679983139038},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.7082117795944214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6137955188751221},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5318745374679565},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.4777090549468994},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43924155831336975},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.41156139969825745},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3632850646972656},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.2320190668106079},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22510188817977905},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14749988913536072}],"concepts":[{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.85457843542099},{"id":"https://openalex.org/C2779165322","wikidata":"https://www.wikidata.org/wiki/Q546145","display_name":"Compactification (mathematics)","level":2,"score":0.8286679983139038},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.7082117795944214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6137955188751221},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5318745374679565},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.4777090549468994},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43924155831336975},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.41156139969825745},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3632850646972656},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.2320190668106079},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22510188817977905},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14749988913536072},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127411028453","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127411028453","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"},{"id":"pmh:oai:acervodigital.unesp.br:11449/7101","is_oa":false,"landing_page_url":"http://hdl.handle.net/11449/7101","pdf_url":null,"source":{"id":"https://openalex.org/S4306400256","display_name":"Acervo Digital da Universidade Estadual Paulista (Universidade Estadual Paulista)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210115194","host_organization_name":"Funda\u00e7\u00e3o para o Desenvolvimento da UNESP","host_organization_lineage":["https://openalex.org/I4210115194"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"outro"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1965257932","https://openalex.org/W1971650444","https://openalex.org/W1998847925","https://openalex.org/W2052311828","https://openalex.org/W2075523193","https://openalex.org/W2080931300","https://openalex.org/W2094216882","https://openalex.org/W2104604364","https://openalex.org/W2135679866","https://openalex.org/W2473526392","https://openalex.org/W2490093520","https://openalex.org/W4235701609","https://openalex.org/W4251660224"],"related_works":["https://openalex.org/W2339458745","https://openalex.org/W3021650107","https://openalex.org/W2009968757","https://openalex.org/W2306553012","https://openalex.org/W4287803004","https://openalex.org/W1538648532","https://openalex.org/W3014342693","https://openalex.org/W2075178146","https://openalex.org/W3198941150","https://openalex.org/W2097333826"],"abstract_inverted_index":{"We":[0,30],"use":[1],"the":[2,15,22,36,48,64,70,84],"Poincar\u00e9":[3],"compactification":[4],"for":[5],"a":[6,27,32,59,81],"polynomial":[7],"vector":[8],"field":[9],"in":[10,52,83],"\u211d":[11,53],"3":[12,54],"to":[13,79],"study":[14,61,76],"dynamics":[16],"near":[17],"and":[18,57,90],"at":[19,42],"infinity":[20],"of":[21,35,39,86],"classical":[23],"Chua's":[24],"system":[25,41],"with":[26,47],"cubic":[28],"nonlinearity.":[29],"give":[31,80],"complete":[33],"description":[34],"phase":[37],"portrait":[38],"this":[40,74,87],"infinity,":[43,67],"which":[44],"is":[45],"identified":[46],"sphere":[49],"\ud835\udd4a":[50],"2":[51],"after":[55],"compactification,":[56],"perform":[58],"numerical":[60],"on":[62,69],"how":[63],"solutions":[65],"reach":[66],"depending":[68],"parameter":[71],"values.":[72],"With":[73],"global":[75],"we":[77],"intend":[78],"contribution":[82],"understanding":[85],"well":[88],"known":[89],"extensively":[91],"studied":[92],"complex":[93],"three-dimensional":[94],"dynamical":[95],"system.":[96]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
