{"id":"https://openalex.org/W2095890179","doi":"https://doi.org/10.1142/s0218127410025387","title":"DESIGN AND IMPLEMENTATION OF MULTI-WING BUTTERFLY CHAOTIC ATTRACTORS VIA LORENZ-TYPE SYSTEMS","display_name":"DESIGN AND IMPLEMENTATION OF MULTI-WING BUTTERFLY CHAOTIC ATTRACTORS VIA LORENZ-TYPE SYSTEMS","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2095890179","doi":"https://doi.org/10.1142/s0218127410025387","mag":"2095890179"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127410025387","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127410025387","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/A5013127565","display_name":"Simin Yu","orcid":"https://orcid.org/0000-0002-1192-6955"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"SIMIN YU","raw_affiliation_strings":["College of Automation, Guangdong University of Technology, Guangzhou 510006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Automation, Guangdong University of Technology, Guangzhou 510006, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107724691","display_name":"K.S. Tang","orcid":"https://orcid.org/0000-0002-5786-418X"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"WALLACE K. S. TANG","raw_affiliation_strings":["Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027725400","display_name":"Jinhu L\u00fc","orcid":"https://orcid.org/0000-0003-0275-8387"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU","CN"],"is_corresponding":false,"raw_author_name":"JINHU L\u00dc","raw_affiliation_strings":["LSC, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China","School of Electrical and Computer Engineering, RMIT University, Melbourne VIC 3001, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LSC, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, RMIT University, Melbourne VIC 3001, Australia","institution_ids":["https://openalex.org/I82951845"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024633466","display_name":"Guanrong Chen","orcid":"https://orcid.org/0000-0003-1381-7418"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"GUANRONG CHEN","raw_affiliation_strings":["Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5707,"has_fulltext":false,"cited_by_count":74,"citation_normalized_percentile":{"value":0.83385809,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"20","issue":"01","first_page":"29","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9728000164031982,"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":0.9646000266075134,"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/attractor","display_name":"Attractor","score":0.8492161631584167},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.7620596885681152},{"id":"https://openalex.org/keywords/sawtooth-wave","display_name":"Sawtooth wave","score":0.7273207902908325},{"id":"https://openalex.org/keywords/butterfly-effect","display_name":"Butterfly effect","score":0.7006694078445435},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.6806379556655884},{"id":"https://openalex.org/keywords/butterfly","display_name":"Butterfly","score":0.6544704437255859},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5110801458358765},{"id":"https://openalex.org/keywords/circuit-diagram","display_name":"Circuit diagram","score":0.5000996589660645},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44606131315231323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36735740303993225},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33048662543296814},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27085167169570923},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1091558039188385},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08974668383598328},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.0650719404220581}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.8492161631584167},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7620596885681152},{"id":"https://openalex.org/C148837635","wikidata":"https://www.wikidata.org/wiki/Q1742397","display_name":"Sawtooth wave","level":2,"score":0.7273207902908325},{"id":"https://openalex.org/C118979974","wikidata":"https://www.wikidata.org/wiki/Q187536","display_name":"Butterfly effect","level":3,"score":0.7006694078445435},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.6806379556655884},{"id":"https://openalex.org/C2778605236","wikidata":"https://www.wikidata.org/wiki/Q1018085","display_name":"Butterfly","level":2,"score":0.6544704437255859},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5110801458358765},{"id":"https://openalex.org/C39799792","wikidata":"https://www.wikidata.org/wiki/Q1045991","display_name":"Circuit diagram","level":2,"score":0.5000996589660645},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44606131315231323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36735740303993225},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33048662543296814},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27085167169570923},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1091558039188385},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08974668383598328},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0650719404220581},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127410025387","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127410025387","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:alma.61RMIT_INST:11246400290001341","is_oa":false,"landing_page_url":"http://doi.org/10.1142/S0218127410025387","pdf_url":null,"source":{"id":"https://openalex.org/S4306402074","display_name":"RMIT Research Repository (RMIT University Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82951845","host_organization_name":"RMIT University","host_organization_lineage":["https://openalex.org/I82951845"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"}],"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/W29524554","https://openalex.org/W1856431148","https://openalex.org/W1969211640","https://openalex.org/W1970841109","https://openalex.org/W1976791164","https://openalex.org/W1977049669","https://openalex.org/W1978007255","https://openalex.org/W1983443845","https://openalex.org/W2004089730","https://openalex.org/W2006839835","https://openalex.org/W2020717343","https://openalex.org/W2025258751","https://openalex.org/W2036870441","https://openalex.org/W2050314181","https://openalex.org/W2052140196","https://openalex.org/W2056672507","https://openalex.org/W2069436097","https://openalex.org/W2093013943","https://openalex.org/W2101870102","https://openalex.org/W2109547066","https://openalex.org/W2117728350","https://openalex.org/W2122076389","https://openalex.org/W2124970715","https://openalex.org/W2127160608","https://openalex.org/W2141394518","https://openalex.org/W2142587090","https://openalex.org/W2152532612","https://openalex.org/W2152575619","https://openalex.org/W2162022992","https://openalex.org/W2165801592","https://openalex.org/W2171987742","https://openalex.org/W2926309618"],"related_works":["https://openalex.org/W2282324977","https://openalex.org/W4283796326","https://openalex.org/W4247798004","https://openalex.org/W2505182312","https://openalex.org/W2747139355","https://openalex.org/W1980045079","https://openalex.org/W4206364796","https://openalex.org/W2491755398","https://openalex.org/W2020004199","https://openalex.org/W2183183399"],"abstract_inverted_index":{"Lorenz":[0,51],"system,":[1,7],"as":[2],"the":[3,13,19,36,47,54,97,123,127],"first":[4,38,124],"classical":[5],"chaotic":[6,33,52,58,78,134],"has":[8],"been":[9],"intensively":[10],"investigated":[11],"over":[12],"last":[14],"four":[15],"decades.":[16],"Based":[17],"on":[18],"sawtooth":[20],"wave":[21],"function,":[22],"this":[23,121],"paper":[24],"initiates":[25],"a":[26,93,101,130],"novel":[27],"approach":[28],"for":[29,108],"generating":[30],"multi-wing":[31,56,76,111],"butterfly":[32,57,77,98,112,133],"attractors":[34,59],"from":[35],"generalized":[37],"and":[39,66],"second":[40],"kinds":[41],"of":[42,74],"Lorenz-type":[43],"systems.":[44],"Compared":[45],"with":[46],"traditional":[48],"ring-shaped":[49],"multi-scroll":[50],"attractors,":[53],"proposed":[55],"are":[60,80],"much":[61],"easier":[62],"to":[63,92],"be":[64,116],"designed":[65],"implemented":[67],"by":[68,139],"analog":[69,140],"circuits.":[70,141],"The":[71],"dynamical":[72],"behaviors":[73],"these":[75],"systems":[79],"further":[81],"studied.":[82],"Theoretical":[83],"analysis":[84],"shows":[85],"that":[86,120,129],"every":[87],"index-2":[88],"saddle-focus":[89],"equilibrium":[90],"corresponds":[91],"unique":[94],"wing":[95],"in":[96,126],"attractors.":[99,113],"Finally,":[100],"module-based":[102],"unified":[103],"circuit":[104],"diagram":[105],"is":[106,122,136],"constructed":[107],"realizing":[109],"various":[110],"It":[114],"should":[115],"especially":[117],"pointed":[118],"out":[119],"time":[125],"literature":[128],"maximal":[131],"10-wing":[132],"attractor":[135],"experimentally":[137],"verified":[138]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
