{"id":"https://openalex.org/W2155229842","doi":"https://doi.org/10.1155/2014/296279","title":"Dynamical Analysis of the Lorenz-84 Atmospheric Circulation Model","display_name":"Dynamical Analysis of the Lorenz-84 Atmospheric Circulation Model","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2155229842","doi":"https://doi.org/10.1155/2014/296279","mag":"2155229842"},"language":"en","primary_location":{"id":"doi:10.1155/2014/296279","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/296279","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/296279.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/296279.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101812926","display_name":"Wang Hu","orcid":"https://orcid.org/0000-0003-3785-5689"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hu Wang","raw_affiliation_strings":["Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China"],"raw_orcid":"https://orcid.org/0000-0003-3785-5689","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059925149","display_name":"Yongguang Yu","orcid":"https://orcid.org/0000-0002-9336-0376"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yongguang Yu","raw_affiliation_strings":["Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061458979","display_name":"Guoguang Wen","orcid":"https://orcid.org/0000-0001-9128-1802"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoguang Wen","raw_affiliation_strings":["Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China"],"raw_orcid":"https://orcid.org/0000-0001-9128-1802","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059925149"],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.47,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.67060632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9962999820709229,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9962999820709229,"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":0.9929999709129333,"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/T10244","display_name":"Chaos control and synchronization","score":0.992900013923645,"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/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.7347956299781799},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6507313251495361},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.5980256795883179},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.5937698483467102},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.586617648601532},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.534047544002533},{"id":"https://openalex.org/keywords/transcritical-bifurcation","display_name":"Transcritical bifurcation","score":0.5040818452835083},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.5040794610977173},{"id":"https://openalex.org/keywords/pitchfork-bifurcation","display_name":"Pitchfork bifurcation","score":0.49636369943618774},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.4798238277435303},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.46615585684776306},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.46563664078712463},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.4636130928993225},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4447411596775055},{"id":"https://openalex.org/keywords/infinite-period-bifurcation","display_name":"Infinite-period bifurcation","score":0.4359474778175354},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.4206530451774597},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4093787372112274},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.31737565994262695},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2699660658836365},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.19523033499717712},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07765030860900879},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05720484256744385}],"concepts":[{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.7347956299781799},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6507313251495361},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.5980256795883179},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.5937698483467102},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.586617648601532},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.534047544002533},{"id":"https://openalex.org/C55610538","wikidata":"https://www.wikidata.org/wiki/Q1502581","display_name":"Transcritical bifurcation","level":5,"score":0.5040818452835083},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.5040794610977173},{"id":"https://openalex.org/C155092403","wikidata":"https://www.wikidata.org/wiki/Q1785924","display_name":"Pitchfork bifurcation","level":5,"score":0.49636369943618774},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.4798238277435303},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.46615585684776306},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.46563664078712463},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.4636130928993225},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4447411596775055},{"id":"https://openalex.org/C165150564","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Infinite-period bifurcation","level":5,"score":0.4359474778175354},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.4206530451774597},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4093787372112274},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.31737565994262695},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2699660658836365},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.19523033499717712},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07765030860900879},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05720484256744385},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/296279","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/296279","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/296279.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425306078","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425306078","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},{"id":"pmh:oai:RePEc:hin:jnljam:296279","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/296279.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:3a93eb1ff35c42939074f014dbe91499","is_oa":true,"landing_page_url":"https://doaj.org/article/3a93eb1ff35c42939074f014dbe91499","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/296279","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/296279","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/296279.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3825625135","display_name":"\u5206\u6570\u9636\u968f\u673a\u7cfb\u7edf\u7684\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u884c\u4e3a\u4e0e\u63a7\u5236\u7814\u7a76","funder_award_id":"11371049","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6497634403","display_name":null,"funder_award_id":"2014YJS132","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2155229842.pdf","grobid_xml":"https://content.openalex.org/works/W2155229842.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W125406351","https://openalex.org/W1538137208","https://openalex.org/W1645715469","https://openalex.org/W1967204107","https://openalex.org/W1973516628","https://openalex.org/W1983053866","https://openalex.org/W1984380587","https://openalex.org/W1987168930","https://openalex.org/W1989937426","https://openalex.org/W1993425257","https://openalex.org/W1993676691","https://openalex.org/W1995667232","https://openalex.org/W1999052126","https://openalex.org/W2005725599","https://openalex.org/W2013290333","https://openalex.org/W2019708635","https://openalex.org/W2035270688","https://openalex.org/W2053706294","https://openalex.org/W2058301267","https://openalex.org/W2062561492","https://openalex.org/W2069777078","https://openalex.org/W2072769329","https://openalex.org/W2082291676","https://openalex.org/W2091754133","https://openalex.org/W2094593974","https://openalex.org/W2116967254","https://openalex.org/W2118617470","https://openalex.org/W2123454682","https://openalex.org/W2124896801","https://openalex.org/W2124963504","https://openalex.org/W2153915469","https://openalex.org/W2155635577","https://openalex.org/W2171416926","https://openalex.org/W2374409992","https://openalex.org/W2764433274","https://openalex.org/W3100694751","https://openalex.org/W3111492085","https://openalex.org/W4233305208","https://openalex.org/W4233794269","https://openalex.org/W4244477752"],"related_works":["https://openalex.org/W4281733204","https://openalex.org/W2369348556","https://openalex.org/W1880931252","https://openalex.org/W2030734556","https://openalex.org/W1983797254","https://openalex.org/W2340824690","https://openalex.org/W4206236000","https://openalex.org/W2792603748","https://openalex.org/W2491094435","https://openalex.org/W2151503487"],"abstract_inverted_index":{"The":[0,18],"dynamical":[1],"behaviors":[2],"of":[3,24,55,72,96,110,113],"the":[4,25,38,45,53,56,64,69,73,78,86,92,111,114],"Lorenz-84":[5,26],"atmospheric":[6,27],"circulation":[7,28],"model":[8,29,74,115],"are":[9,30,61,89,102],"investigated":[10],"based":[11],"on":[12],"qualitative":[13],"theory":[14],"and":[15,20,58,81,91,99],"numerical":[16],"simulations.":[17],"stability":[19],"local":[21],"bifurcation":[22,39,47,60,79],"conditions":[23,54],"obtained.":[31],"It":[32],"is":[33,75,116],"also":[34,76],"shown":[35],"that":[36],"when":[37],"parameter":[40,88,93],"exceeds":[41],"a":[42,107,119],"critical":[43],"value,":[44],"Hopf":[46],"occurs":[48],"in":[49,104],"this":[50],"model.":[51],"Then,":[52],"supercritical":[57],"subcritical":[59],"derived":[62],"through":[63],"normal":[65],"form":[66],"theory.":[67,122],"Finally,":[68],"chaotic":[70,100],"behavior":[71],"discussed,":[77],"diagrams":[80],"Lyapunov":[82],"exponents":[83],"spectrum":[84],"for":[85],"corresponding":[87],"obtained,":[90],"interval":[94],"ranges":[95],"limit":[97],"cycle":[98],"attractor":[101],"calculated":[103],"further.":[105],"Especially,":[106],"computer-assisted":[108],"proof":[109],"chaoticity":[112],"presented":[117],"by":[118],"topological":[120],"horseshoe":[121]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}
