{"id":"https://openalex.org/W2995983081","doi":"https://doi.org/10.1142/9789812798855_0005","title":"THE THEORY OF CONFINORS IN CHUA'S CIRCUIT: ACCURATE ANALYSIS OF BIFURCATIONS AND ATTRACTORS","display_name":"THE THEORY OF CONFINORS IN CHUA'S CIRCUIT: ACCURATE ANALYSIS OF BIFURCATIONS AND ATTRACTORS","publication_year":1993,"publication_date":"1993-11-01","ids":{"openalex":"https://openalex.org/W2995983081","doi":"https://doi.org/10.1142/9789812798855_0005","mag":"2995983081"},"language":"en","primary_location":{"id":"doi:10.1142/9789812798855_0005","is_oa":false,"landing_page_url":"https://doi.org/10.1142/9789812798855_0005","pdf_url":null,"source":{"id":"https://openalex.org/S4210233736","display_name":"World scientific series on nonlinear science, series B","issn_l":"1793-1029","issn":["1793-1029"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"World Scientific Series on Nonlinear Science Series B","raw_type":"book-chapter"},"type":"book-chapter","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/A5076087931","display_name":"Ren\u00e9 Lozi","orcid":"https://orcid.org/0000-0003-0451-4255"},"institutions":[{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"REN\u00c9 LOZI","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques, U.R.A. 168, C.N.R.S., Universit\u00e9 de Nice-Sophia, Antipolis, Parc Valrose, B.P. n\u00b071, 06108 Nice Cedex 2, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques, U.R.A. 168, C.N.R.S., Universit\u00e9 de Nice-Sophia, Antipolis, Parc Valrose, B.P. n\u00b071, 06108 Nice Cedex 2, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I4210155549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043728454","display_name":"Shigehiro Ushiki","orcid":null},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"SHIGEHIRO USHIKI","raw_affiliation_strings":["Graduate School of Human and Environmental Studies, Kyoto University, Yoshida-Konoe-cho, Sakyo-ku, Kyoto, 606-01, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Human and Environmental Studies, Kyoto University, Yoshida-Konoe-cho, Sakyo-ku, Kyoto, 606-01, Japan","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":2,"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":2,"citation_normalized_percentile":{"value":0.47164179,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"90","last_page":"136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9739000201225281,"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"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9739000201225281,"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":0.9664999842643738,"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":0.9203000068664551,"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/attractor","display_name":"Attractor","score":0.7302355766296387},{"id":"https://openalex.org/keywords/chuas-circuit","display_name":"Chua's circuit","score":0.571779191493988},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.44764092564582825},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40351200103759766},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38583943247795105},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37537482380867004},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.36451953649520874},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28643015027046204},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24729731678962708},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16448616981506348}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7302355766296387},{"id":"https://openalex.org/C2781300247","wikidata":"https://www.wikidata.org/wiki/Q258022","display_name":"Chua's circuit","level":3,"score":0.571779191493988},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.44764092564582825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40351200103759766},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38583943247795105},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37537482380867004},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.36451953649520874},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28643015027046204},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24729731678962708},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16448616981506348},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/9789812798855_0005","is_oa":false,"landing_page_url":"https://doi.org/10.1142/9789812798855_0005","pdf_url":null,"source":{"id":"https://openalex.org/S4210233736","display_name":"World scientific series on nonlinear science, series B","issn_l":"1793-1029","issn":["1793-1029"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"World Scientific Series on Nonlinear Science Series B","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1995550449","https://openalex.org/W2801748458","https://openalex.org/W327886041","https://openalex.org/W2765787715","https://openalex.org/W2612801513","https://openalex.org/W2065885758","https://openalex.org/W4312668142","https://openalex.org/W2020717343","https://openalex.org/W2078907149","https://openalex.org/W4388516210"],"abstract_inverted_index":{"We":[0,30,93],"apply":[1],"the":[2,21,24,36,44,47,62,65,70,78,83,101,106,119,140,148,160,174,182,196],"new":[3,127,157],"concept":[4],"of":[5,27,35,38,51,64,73,85,89,91,105,108,118,139,142,150,152,162,184,192,195,199,209],"confinors":[6,37,143],"and":[7,77,147],"anti-confinors,":[8],"initially":[9],"defined":[10],"for":[11,61,113],"ordinary":[12],"differential":[13],"equations":[14,22],"constrained":[15],"on":[16],"a":[17,56,86,190,205],"cusp":[18],"manifold,":[19],"to":[20,43,55,144,159,204],"governing":[23],"circuit":[25],"dynamics":[26],"Chua\u2019s":[28,39,74,121,145,200],"circuit.":[29],"especially":[31],"emphasize":[32],"some":[33],"properties":[34,53],"equation":[40,122,146],"with":[41,82],"respect":[42],"patterns":[45],"in":[46,125,133,173],"time":[48],"waveforms.":[49],"Some":[50],"these":[52],"lead":[54],"very":[57,126,167,206],"accurate":[58,98,207],"numerical":[59,103],"method":[60],"computation":[63],"half-Poincare":[66],"maps":[67],"which":[68,186],"reveal":[69],"precise":[71],"structures":[72],"strange":[75],"attractors":[76,112],"exact":[79],"bifurcation":[80],"diagrams":[81],"help":[84],"special":[87],"sequence":[88],"change":[90],"coordinates.":[92],"also":[94],"recall":[95],"how":[96],"such":[97],"methods":[99],"allow":[100],"reliable":[102],"observation":[104],"coexistence":[107],"three":[109],"distinct":[110],"chaotic":[111],"at":[114],"least":[115],"one":[116],"choice":[117],"parameters.":[120],"seemssurprisingly":[123],"rich":[124],"behaviors":[128,169],"not":[129,170],"yet":[130,171],"reported":[131,172],"even":[132],"other":[134],"dynamical":[135,163],"systems.":[136],"The":[137,176],"application":[138],"theory":[141,183,191],"use":[149],"sequences":[151],"Taylor\u2019s":[153],"coordinates":[154],"could":[155,187],"give":[156],"perspectives":[158],"study":[161],"systems":[164],"by":[165],"uncovering":[166],"unusual":[168],"literature.":[175],"main":[177],"paradox":[178],"here":[179],"is":[180],"that":[181],"confinors,":[185],"appear":[188],"as":[189],"rough":[193],"analysis":[194,208],"phase":[197,211],"portrait":[198],"equation,":[201],"leads":[202],"instead":[203],"this":[210],"portrait.":[212]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
