{"id":"https://openalex.org/W1977985132","doi":"https://doi.org/10.1142/s0218127409023688","title":"DYNAMICS OF A SIMPLIFIED LORENZ SYSTEM","display_name":"DYNAMICS OF A SIMPLIFIED LORENZ SYSTEM","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W1977985132","doi":"https://doi.org/10.1142/s0218127409023688","mag":"1977985132"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409023688","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023688","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/A5018654135","display_name":"Kehui Sun","orcid":"https://orcid.org/0000-0002-9292-0263"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"KEHUI SUN","raw_affiliation_strings":["School of Physics Science and Technology, Central South University, Changsha 410083, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics Science and Technology, Central South University, Changsha 410083, P. R. China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081308615","display_name":"J. C. Sprott","orcid":"https://orcid.org/0000-0001-7014-3283"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. C. SPROTT","raw_affiliation_strings":["Department of Physics, University of Wisconsin, Madison, WI 53706, USA","Department of Physics, University of Wisconsin,#N#Madison, WI-53706, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Wisconsin, Madison, WI 53706, USA","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Department of Physics, University of Wisconsin,#N#Madison, WI-53706, USA","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1304,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.87524281,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"19","issue":"04","first_page":"1357","last_page":"1366"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9997000098228455,"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":0.9997000098228455,"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":0.988099992275238,"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":0.9865000247955322,"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/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.7869237661361694},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.7347670197486877},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5994507670402527},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5520131587982178},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5182390213012695},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5177682638168335},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.5145161151885986},{"id":"https://openalex.org/keywords/fractal-dimension","display_name":"Fractal dimension","score":0.5126006007194519},{"id":"https://openalex.org/keywords/chaos","display_name":"CHAOS (operating system)","score":0.488944411277771},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4860377907752991},{"id":"https://openalex.org/keywords/complex-dynamics","display_name":"Complex dynamics","score":0.4418150782585144},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.42255699634552},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34198909997940063},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.33146074414253235},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.2859378755092621},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28368082642555237},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28225937485694885},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.273439884185791},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26376277208328247},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07334849238395691}],"concepts":[{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.7869237661361694},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.7347670197486877},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5994507670402527},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5520131587982178},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5182390213012695},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5177682638168335},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.5145161151885986},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.5126006007194519},{"id":"https://openalex.org/C2779374083","wikidata":"https://www.wikidata.org/wiki/Q5011038","display_name":"CHAOS (operating system)","level":2,"score":0.488944411277771},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4860377907752991},{"id":"https://openalex.org/C126701199","wikidata":"https://www.wikidata.org/wiki/Q264224","display_name":"Complex dynamics","level":2,"score":0.4418150782585144},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.42255699634552},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34198909997940063},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.33146074414253235},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.2859378755092621},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28368082642555237},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28225937485694885},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.273439884185791},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26376277208328247},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07334849238395691},{"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},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409023688","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409023688","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":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5199999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W2941781","https://openalex.org/W604373124","https://openalex.org/W1555117255","https://openalex.org/W1863658077","https://openalex.org/W1967008192","https://openalex.org/W1983746662","https://openalex.org/W1995601782","https://openalex.org/W2021696231","https://openalex.org/W2036870441","https://openalex.org/W2056324472","https://openalex.org/W2069436097","https://openalex.org/W2085203399","https://openalex.org/W2101870102","https://openalex.org/W2141394518","https://openalex.org/W2142587090","https://openalex.org/W2151223939","https://openalex.org/W2152254020","https://openalex.org/W2926309618","https://openalex.org/W6651138785"],"related_works":["https://openalex.org/W1626153417","https://openalex.org/W2043562246","https://openalex.org/W2125497820","https://openalex.org/W2336337427","https://openalex.org/W3159282064","https://openalex.org/W2369595445","https://openalex.org/W2382239025","https://openalex.org/W1975154472","https://openalex.org/W4242549444","https://openalex.org/W2086131606"],"abstract_inverted_index":{"A":[0],"simplified":[1],"Lorenz":[2],"system":[3,40],"with":[4,44],"one":[5],"bifurcation":[6],"parameter":[7],"is":[8],"investigated":[9],"by":[10],"a":[11],"detailed":[12],"theoretical":[13],"analysis":[14],"as":[15,17],"well":[16],"dynamic":[18],"simulation,":[19],"including":[20],"some":[21],"basic":[22],"dynamical":[23],"properties,":[24],"Lyapunov":[25],"exponent":[26],"spectra,":[27],"fractal":[28],"dimension,":[29],"bifurcations":[30],"and":[31],"routes":[32],"to":[33],"chaos.":[34],"The":[35],"results":[36],"show":[37],"that":[38],"this":[39],"has":[41],"complex":[42],"dynamics":[43],"interesting":[45],"characteristics.":[46]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}