{"id":"https://openalex.org/W2168097545","doi":"https://doi.org/10.1142/s0218127409024323","title":"MODIFIED GENERALIZED LORENZ SYSTEM AND FOLDED CHAOTIC ATTRACTORS","display_name":"MODIFIED GENERALIZED LORENZ SYSTEM AND FOLDED CHAOTIC ATTRACTORS","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W2168097545","doi":"https://doi.org/10.1142/s0218127409024323","mag":"2168097545"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409024323","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409024323","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/A5017925448","display_name":"Bocheng Bao","orcid":"https://orcid.org/0000-0001-6413-3038"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]},{"id":"https://openalex.org/I4210144214","display_name":"Jiangsu University of Technology","ror":"https://ror.org/04jabhf80","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210144214"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"BOCHENG BAO","raw_affiliation_strings":["Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, P. R. China","School of Electrical and Information Engineering, Jiangsu Teachers University of Technology, Changzhou 213001, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, P. R. China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"School of Electrical and Information Engineering, Jiangsu Teachers University of Technology, Changzhou 213001, P. R. China","institution_ids":["https://openalex.org/I4210144214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103045505","display_name":"Zhong Liu","orcid":"https://orcid.org/0000-0003-4096-3170"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"ZHONG LIU","raw_affiliation_strings":["Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, P. R. China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100958777","display_name":"Juebang Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JUEBANG YU","raw_affiliation_strings":["School of Electronic Engineering, University of Electronics Science and Technology of China, Chengdu 610054, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Engineering, University of Electronics Science and Technology of China, Chengdu 610054, P. R. China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7101,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73074754,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","issue":"08","first_page":"2573","last_page":"2587"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9987999796867371,"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":0.9901999831199646,"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/phase-portrait","display_name":"Phase portrait","score":0.8425768613815308},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.7828280925750732},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.7799378633499146},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.7048347592353821},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.7005699872970581},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5898086428642273},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5189616084098816},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.5134661793708801},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.47679615020751953},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4402925372123718},{"id":"https://openalex.org/keywords/r\u00f6ssler-attractor","display_name":"R\u00f6ssler attractor","score":0.413361519575119},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3700432777404785},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3589337170124054},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.34891289472579956},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2483324408531189},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23917576670646667},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13798147439956665}],"concepts":[{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.8425768613815308},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.7828280925750732},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7799378633499146},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.7048347592353821},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.7005699872970581},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5898086428642273},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5189616084098816},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.5134661793708801},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.47679615020751953},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4402925372123718},{"id":"https://openalex.org/C192872217","wikidata":"https://www.wikidata.org/wiki/Q720574","display_name":"R\u00f6ssler attractor","level":3,"score":0.413361519575119},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3700432777404785},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3589337170124054},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34891289472579956},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2483324408531189},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23917576670646667},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13798147439956665},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409024323","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409024323","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1983746662","https://openalex.org/W1999534682","https://openalex.org/W2009364749","https://openalex.org/W2014509488","https://openalex.org/W2020609980","https://openalex.org/W2021696231","https://openalex.org/W2023019235","https://openalex.org/W2030496841","https://openalex.org/W2034215199","https://openalex.org/W2036870441","https://openalex.org/W2056672507","https://openalex.org/W2069436097","https://openalex.org/W2071673800","https://openalex.org/W2101773947","https://openalex.org/W2110024214","https://openalex.org/W2110603708","https://openalex.org/W2115986869","https://openalex.org/W2120458580","https://openalex.org/W2120749007","https://openalex.org/W2126098770","https://openalex.org/W2127160608","https://openalex.org/W2129949229","https://openalex.org/W2142587090","https://openalex.org/W2151223939","https://openalex.org/W2314906218","https://openalex.org/W2926309618","https://openalex.org/W4231102510","https://openalex.org/W4234436290"],"related_works":["https://openalex.org/W1628429654","https://openalex.org/W2978842908","https://openalex.org/W2023046846","https://openalex.org/W1969643210","https://openalex.org/W2093909018","https://openalex.org/W1083439616","https://openalex.org/W2388265512","https://openalex.org/W2788936494","https://openalex.org/W2361841878","https://openalex.org/W2386267972"],"abstract_inverted_index":{"A":[0],"modified":[1],"generalized":[2,12],"Lorenz":[3,13],"system":[4,14,22,52],"in":[5,17],"a":[6,24],"canonical":[7],"form":[8],"extended":[9],"from":[10],"the":[11,86,89],"is":[15,85],"proposed":[16],"this":[18],"paper.":[19],"This":[20],"novel":[21],"has":[23],"folded":[25,32,36,90],"factor":[26,91],"and":[27,34,49,62,78,94],"can":[28],"display":[29],"complex":[30],"2-scroll":[31],"attractors":[33,37],"1-scroll":[35],"at":[38],"different":[39],"parameter":[40],"values.":[41],"Three":[42],"typical":[43],"normal":[44],"forms,":[45],"called":[46],"Lorenz-like,":[47],"Chen-like":[48,93],"L\u00fc-like":[50,95],"chaotic":[51,58,96],"respectively,":[53],"of":[54],"three-dimensional":[55],"quadratic":[56],"autonomous":[57],"systems":[59,97],"are":[60,66],"derived,":[61],"their":[63],"dynamical":[64,101],"behaviors":[65],"further":[67],"investigated":[68],"by":[69],"employing":[70],"Lyapunov":[71],"exponent":[72],"spectrum,":[73],"bifurcation":[74],"diagram,":[75],"Poincar\u00e9":[76],"mapping":[77],"phase":[79],"portrait,":[80],"etc.":[81],"Of":[82],"particular":[83],"interest":[84],"fact":[87],"that":[88],"makes":[92],"exhibit":[98],"complicated":[99],"nonlinear":[100],"phenomena.":[102]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
