{"id":"https://openalex.org/W2114440249","doi":"https://doi.org/10.1109/iscas.2011.5937818","title":"Design of grid multi-wing butterfly chaotic attractors from piecewise Lü system based on switching control and heteroclinic orbit","display_name":"Design of grid multi-wing butterfly chaotic attractors from piecewise Lü system based on switching control and heteroclinic orbit","publication_year":2011,"publication_date":"2011-05-01","ids":{"openalex":"https://openalex.org/W2114440249","doi":"https://doi.org/10.1109/iscas.2011.5937818","mag":"2114440249"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2011.5937818","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2011.5937818","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Symposium of Circuits and Systems (ISCAS)","raw_type":"proceedings-article"},"type":"conference-paper","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, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Automation, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"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/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 Lu","raw_affiliation_strings":["Acad. Mathematics & System Science, Chinese Academy and Sciences, Beijing, China","School Electrical Computer Engineering, RMIT University, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Acad. Mathematics & System Science, Chinese Academy and Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485"]},{"raw_affiliation_string":"School Electrical Computer Engineering, RMIT University, Australia","institution_ids":["https://openalex.org/I82951845"]}]},{"author_position":"middle","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 Electrical Engineering, City University of Hong Kong, Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department Electrical Engineering, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070195520","display_name":"Xinghuo Yu","orcid":"https://orcid.org/0000-0001-8093-9787"},"institutions":[{"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"],"is_corresponding":false,"raw_author_name":"Xinghuo Yu","raw_affiliation_strings":["School Electrical Computer Engineering, RMIT University, Melbourne, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School Electrical Computer Engineering, RMIT University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I82951845"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5505,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.73133022,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1335","last_page":"1338"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9860000014305115,"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":0.9832000136375427,"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":0.7147163152694702},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.673536479473114},{"id":"https://openalex.org/keywords/heteroclinic-orbit","display_name":"Heteroclinic orbit","score":0.6204625964164734},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5622041821479797},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.534334659576416},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.4971928894519806},{"id":"https://openalex.org/keywords/butterfly-effect","display_name":"Butterfly effect","score":0.47341257333755493},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.47304433584213257},{"id":"https://openalex.org/keywords/heteroclinic-cycle","display_name":"Heteroclinic cycle","score":0.47256866097450256},{"id":"https://openalex.org/keywords/heteroclinic-bifurcation","display_name":"Heteroclinic bifurcation","score":0.4290751814842224},{"id":"https://openalex.org/keywords/wing","display_name":"Wing","score":0.4178534150123596},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.37121209502220154},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35968017578125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28020381927490234},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.260207861661911},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2588192820549011},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.20932409167289734},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.1947607398033142},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.1854364275932312},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1823647916316986},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18206945061683655},{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.17544615268707275},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14405980706214905},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0845136046409607}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7147163152694702},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.673536479473114},{"id":"https://openalex.org/C184481792","wikidata":"https://www.wikidata.org/wiki/Q1992087","display_name":"Heteroclinic orbit","level":5,"score":0.6204625964164734},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5622041821479797},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.534334659576416},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.4971928894519806},{"id":"https://openalex.org/C118979974","wikidata":"https://www.wikidata.org/wiki/Q187536","display_name":"Butterfly effect","level":3,"score":0.47341257333755493},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.47304433584213257},{"id":"https://openalex.org/C142115181","wikidata":"https://www.wikidata.org/wiki/Q16948232","display_name":"Heteroclinic cycle","level":5,"score":0.47256866097450256},{"id":"https://openalex.org/C73888704","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Heteroclinic bifurcation","level":5,"score":0.4290751814842224},{"id":"https://openalex.org/C97257150","wikidata":"https://www.wikidata.org/wiki/Q161358","display_name":"Wing","level":2,"score":0.4178534150123596},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37121209502220154},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35968017578125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28020381927490234},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.260207861661911},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2588192820549011},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.20932409167289734},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.1947607398033142},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.1854364275932312},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1823647916316986},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18206945061683655},{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.17544615268707275},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14405980706214905},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0845136046409607},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C194271172","wikidata":"https://www.wikidata.org/wiki/Q2181373","display_name":"Period-doubling bifurcation","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iscas.2011.5937818","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2011.5937818","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Symposium of Circuits and Systems (ISCAS)","raw_type":"proceedings-article"},{"id":"pmh:oai:alma.61RMIT_INST:11246603390001341","is_oa":false,"landing_page_url":"http://doi.org/10.1109/ISCAS.2011.5937818","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":[{"display_name":"Industry, innovation and infrastructure","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W29524554","https://openalex.org/W1555117255","https://openalex.org/W1969211640","https://openalex.org/W1970841109","https://openalex.org/W1983746662","https://openalex.org/W1999534682","https://openalex.org/W2036870441","https://openalex.org/W2050314181","https://openalex.org/W2069436097","https://openalex.org/W2093013943","https://openalex.org/W2117728350","https://openalex.org/W2122076389","https://openalex.org/W2124970715","https://openalex.org/W2136003046","https://openalex.org/W2138990845","https://openalex.org/W2141394518","https://openalex.org/W2171987742","https://openalex.org/W4297900861"],"related_works":["https://openalex.org/W2040151997","https://openalex.org/W2159719320","https://openalex.org/W2095803285","https://openalex.org/W4377008899","https://openalex.org/W2531108583","https://openalex.org/W2066526839","https://openalex.org/W2151523878","https://openalex.org/W2373813151","https://openalex.org/W2788862548","https://openalex.org/W2003626137"],"abstract_inverted_index":{"Over":[0],"the":[1,58,74,78,81],"last":[2],"two":[3],"decades,":[4],"multi-scroll":[5],"chaos":[6],"generation":[7],"has":[8],"seen":[9],"promising":[10],"advances":[11],"and":[12,40],"becomes":[13],"an":[14],"active":[15],"research":[16],"field.":[17],"This":[18],"paper":[19],"initiates":[20],"a":[21],"novel":[22],"approach":[23],"to":[24],"design":[25,83],"various":[26],"grid":[27],"multi-wing":[28,52],"butterfly":[29],"chaotic":[30,53,56],"attractors":[31,54],"from":[32,63],"piecewise":[33],"Lü":[34],"system":[35],"based":[36],"on":[37],"switching":[38],"control":[39],"heteroclinic":[41],"orbit.":[42],"It":[43],"should":[44],"be":[45],"especially":[46],"pointed":[47],"out":[48],"that":[49],"these":[50],"generating":[51],"are":[55,68],"in":[57,73],"sense":[59],"of":[60,77,80],"Smale":[61],"horseshoe":[62],"Shilnikov":[64],"theorem.":[65],"Moreover,":[66],"there":[67],"some":[69],"potential":[70],"engineering":[71],"applications":[72],"future":[75],"because":[76],"simplicity":[79],"proposed":[82],"approach.":[84]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2016-06-24T00:00:00"}