{"id":"https://openalex.org/W2963018423","doi":"https://doi.org/10.1142/s0218127412501167","title":"A SIMPLE YET COMPLEX ONE-PARAMETER FAMILY OF GENERALIZED LORENZ-LIKE SYSTEMS","display_name":"A SIMPLE YET COMPLEX ONE-PARAMETER FAMILY OF GENERALIZED LORENZ-LIKE SYSTEMS","publication_year":2012,"publication_date":"2012-03-29","ids":{"openalex":"https://openalex.org/W2963018423","doi":"https://doi.org/10.1142/s0218127412501167","mag":"2963018423"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412501167","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412501167","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/A5100359252","display_name":"Xiong Wang","orcid":"https://orcid.org/0000-0003-0211-1946"},"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":true,"raw_author_name":"XIONG WANG","raw_affiliation_strings":["Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100359225","display_name":"Juan Chen","orcid":"https://orcid.org/0000-0003-0722-9951"},"institutions":[{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JUAN CHEN","raw_affiliation_strings":["College of Sciences, Wuhan University of Science and Technology, Wuhan 430081, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Sciences, Wuhan University of Science and Technology, Wuhan 430081, P. R. China","institution_ids":["https://openalex.org/I43922553"]}]},{"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/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JUN-AN LU","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China","institution_ids":["https://openalex.org/I37461747"]}]},{"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, Kowloon, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100359252"],"corresponding_institution_ids":["https://openalex.org/I168719708"],"apc_list":null,"apc_paid":null,"fwci":2.9742,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.92020599,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"22","issue":"05","first_page":"1250116","last_page":"1250116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9951000213623047,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/lorenz-system","display_name":"Lorenz system","score":0.8866035342216492},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.7389143705368042},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6943089365959167},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6821818351745605},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6704034805297852},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6680310368537903},{"id":"https://openalex.org/keywords/chen","display_name":"Chen","score":0.5832459926605225},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5422834157943726},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.488825261592865},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48341548442840576},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34351056814193726},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24816158413887024},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21690890192985535},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09219172596931458},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.058821260929107666},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.051372021436691284}],"concepts":[{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.8866035342216492},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7389143705368042},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6943089365959167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6821818351745605},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6704034805297852},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6680310368537903},{"id":"https://openalex.org/C2776085556","wikidata":"https://www.wikidata.org/wiki/Q183361","display_name":"Chen","level":2,"score":0.5832459926605225},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5422834157943726},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.488825261592865},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48341548442840576},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34351056814193726},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24816158413887024},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21690890192985535},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09219172596931458},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.058821260929107666},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.051372021436691284},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127412501167","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412501167","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":[{"id":"https://openalex.org/F4320309893","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1555117255","https://openalex.org/W1978162531","https://openalex.org/W1994859578","https://openalex.org/W2001759490","https://openalex.org/W2014509488","https://openalex.org/W2027385731","https://openalex.org/W2028185555","https://openalex.org/W2036870441","https://openalex.org/W2069436097","https://openalex.org/W2078345648","https://openalex.org/W2083531786","https://openalex.org/W2085203399","https://openalex.org/W2092360752","https://openalex.org/W2106154524","https://openalex.org/W2126098770","https://openalex.org/W2141394518","https://openalex.org/W2142587090","https://openalex.org/W2148489408","https://openalex.org/W2151223939","https://openalex.org/W2408718584","https://openalex.org/W4231102510"],"related_works":["https://openalex.org/W2050364156","https://openalex.org/W4289542543","https://openalex.org/W2891065597","https://openalex.org/W2379488025","https://openalex.org/W2318462079","https://openalex.org/W2585728124","https://openalex.org/W1509796342","https://openalex.org/W1742246664","https://openalex.org/W2169362996","https://openalex.org/W2340294931"],"abstract_inverted_index":{"This":[0,139],"paper":[1],"reports":[2],"the":[3,18,38,44,47,81,84,92,103,115,120,123],"finding":[4],"of":[5,10,28,58,117,122],"a":[6,26,69],"simple":[7,71],"one-parameter":[8],"family":[9,57],"three-dimensional":[11,156],"quadratic":[12,77,157],"autonomous":[13,158],"chaotic":[14,40,59,159],"systems.":[15,160],"By":[16],"tuning":[17],"only":[19,75,132],"parameter,":[20],"this":[21,55,110],"system":[22,41,112],"can":[23,129],"continuously":[24],"generate":[25,130],"variety":[27],"cascading":[29],"Lorenz-like":[30,133],"attractors,":[31],"which":[32],"appears":[33],"to":[34,114],"be":[35],"richer":[36],"than":[37,102],"unified":[39],"that":[42,141],"contains":[43],"Lorenz":[45,82,104,125],"and":[46,64,83,87,105],"Chen":[48,85,106],"systems":[49,60,118],"as":[50,80],"its":[51],"two":[52,76],"extremes.":[53],"Although":[54],"new":[56,111],"has":[61,68],"very":[62,70],"rich":[63],"complex":[65],"dynamics,":[66],"it":[67,128],"algebraic":[72,151],"structure":[73],"with":[74],"terms":[78],"(same":[79],"systems)":[86],"all":[88],"nonzero":[89],"coefficients":[90],"in":[91,119],"linear":[93],"part":[94],"being":[95],"-1":[96],"except":[97],"one":[98],"-0.1":[99],"(thus,":[100],"simpler":[101],"systems).":[107],"Surprisingly,":[108],"although":[109],"belongs":[113],"Lorenz-type":[116],"classification":[121],"generalized":[124],"canonical":[126],"form,":[127],"not":[131],"attractors":[134],"but":[135],"also":[136],"Chen-like":[137],"attractors.":[138],"suggests":[140],"there":[142],"may":[143],"exist":[144],"some":[145],"other":[146],"unknown":[147],"yet":[148],"more":[149],"essential":[150],"characteristics":[152],"for":[153],"describing":[154],"general":[155]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-03T22:45:19.894376","created_date":"2025-10-10T00:00:00"}