{"id":"https://openalex.org/W2080931300","doi":"https://doi.org/10.1142/s0218127405011990","title":"A GALLERY OF ATTRACTORS FROM SMOOTH CHUA'S EQUATION","display_name":"A GALLERY OF ATTRACTORS FROM SMOOTH CHUA'S EQUATION","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2080931300","doi":"https://doi.org/10.1142/s0218127405011990","mag":"2080931300"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127405011990","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405011990","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/A5015351071","display_name":"Akio Tsuneda","orcid":"https://orcid.org/0000-0002-6531-2043"},"institutions":[{"id":"https://openalex.org/I96036126","display_name":"Kumamoto University","ror":"https://ror.org/02cgss904","country_code":"JP","type":"education","lineage":["https://openalex.org/I96036126"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"AKIO TSUNEDA","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Kumamoto University, Kumamoto 860-8555, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Kumamoto University, Kumamoto 860-8555, Japan","institution_ids":["https://openalex.org/I96036126"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015351071"],"corresponding_institution_ids":["https://openalex.org/I96036126"],"apc_list":null,"apc_paid":null,"fwci":11.6235,"has_fulltext":false,"cited_by_count":118,"citation_normalized_percentile":{"value":0.99114195,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"15","issue":"01","first_page":"1","last_page":"49"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9980999827384949,"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/T10244","display_name":"Chaos control and synchronization","score":0.9980999827384949,"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":0.9955999851226807,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.8800153732299805},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.7499343156814575},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6743969321250916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6511895656585693},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6061323881149292},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5941755771636963},{"id":"https://openalex.org/keywords/cubic-function","display_name":"Cubic function","score":0.5258434414863586},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5202028155326843},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5119553804397583},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4770212173461914},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4512752592563629},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.42133837938308716},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1292804777622223}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8800153732299805},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.7499343156814575},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6743969321250916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6511895656585693},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6061323881149292},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5941755771636963},{"id":"https://openalex.org/C65559279","wikidata":"https://www.wikidata.org/wiki/Q16667694","display_name":"Cubic function","level":2,"score":0.5258434414863586},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5202028155326843},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5119553804397583},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4770212173461914},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4512752592563629},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.42133837938308716},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1292804777622223},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127405011990","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405011990","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":32,"referenced_works":["https://openalex.org/W66652658","https://openalex.org/W1566441049","https://openalex.org/W1599681710","https://openalex.org/W1935924371","https://openalex.org/W1948516579","https://openalex.org/W1968867057","https://openalex.org/W1969294700","https://openalex.org/W1977358249","https://openalex.org/W1991665978","https://openalex.org/W1996894057","https://openalex.org/W2005104468","https://openalex.org/W2008791568","https://openalex.org/W2028657164","https://openalex.org/W2029756497","https://openalex.org/W2042984746","https://openalex.org/W2050151209","https://openalex.org/W2075523193","https://openalex.org/W2083174647","https://openalex.org/W2089381150","https://openalex.org/W2094114128","https://openalex.org/W2094908988","https://openalex.org/W2105406131","https://openalex.org/W2105534740","https://openalex.org/W2108893855","https://openalex.org/W2114603330","https://openalex.org/W2125023201","https://openalex.org/W2139260552","https://openalex.org/W2150614976","https://openalex.org/W2171987742","https://openalex.org/W2490093520","https://openalex.org/W2610416517","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2064165820","https://openalex.org/W2355895214","https://openalex.org/W198386592","https://openalex.org/W2257098514","https://openalex.org/W2133947431","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W2100864966"],"abstract_inverted_index":{"In":[0],"this":[1,49,59],"tutorial":[2],"paper,":[3],"we":[4],"present":[5],"some":[6],"interesting":[7],"phenomena":[8],"from":[9],"Chua's":[10],"equation":[11,64],"with":[12,20,65],"a":[13,21,25],"cubic":[14,26],"nonlinearity":[15],"as":[16,18],"well":[17],"that":[19],"piecewise-linear":[22,32],"characteristic,":[23],"where":[24],"polynomial":[27],"approximates":[28],"the":[29,55],"original":[30],"three-segment":[31],"function.":[33],"A":[34],"gallery":[35],"of":[36,58],"attractors":[37],"and":[38],"bifurcation":[39],"diagrams":[40],"obtained":[41],"by":[42],"numerical":[43],"simulations":[44],"are":[45],"presented.":[46],"We":[47],"hope":[48],"will":[50],"motivate":[51],"researchers":[52],"to":[53],"study":[54],"smooth":[56],"version":[57],"extremely":[60],"simple":[61],"yet":[62],"versatile":[63],"more":[66],"than":[67],"20":[68],"attractors.":[69]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":8}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
