{"id":"https://openalex.org/W2015639518","doi":"https://doi.org/10.1142/s0218127410025466","title":"REGULAR AND CHAOTIC DYNAMICS OF THE LORENZ\u2013STENFLO SYSTEM","display_name":"REGULAR AND CHAOTIC DYNAMICS OF THE LORENZ\u2013STENFLO SYSTEM","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2015639518","doi":"https://doi.org/10.1142/s0218127410025466","mag":"2015639518"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127410025466","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127410025466","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":true,"oa_status":"green","oa_url":"https://repositorio.udesc.br/handle/UDESC/9861","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014477596","display_name":"J. C. Xavier","orcid":null},"institutions":[{"id":"https://openalex.org/I164790352","display_name":"Universidade do Estado de Santa Catarina","ror":"https://ror.org/03ztsbk67","country_code":"BR","type":"education","lineage":["https://openalex.org/I164790352"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"JO\u00c3O C. XAVIER","raw_affiliation_strings":["Departamento de F\u00edsica, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil","institution_ids":["https://openalex.org/I164790352"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077221436","display_name":"Paulo C. Rech","orcid":"https://orcid.org/0000-0003-2235-0469"},"institutions":[{"id":"https://openalex.org/I164790352","display_name":"Universidade do Estado de Santa Catarina","ror":"https://ror.org/03ztsbk67","country_code":"BR","type":"education","lineage":["https://openalex.org/I164790352"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"PAULO C. RECH","raw_affiliation_strings":["Departamento de F\u00edsica, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil","institution_ids":["https://openalex.org/I164790352"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014477596"],"corresponding_institution_ids":["https://openalex.org/I164790352"],"apc_list":null,"apc_paid":null,"fwci":1.4908,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.82818813,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"20","issue":"01","first_page":"145","last_page":"152"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9994999766349792,"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":0.9991999864578247,"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":0.9922000169754028,"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/mathematics","display_name":"Mathematics","score":0.7572720050811768},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.688640832901001},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.6150381565093994},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.5663729310035706},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5183964371681213},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.48385465145111084},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.4827979803085327},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.47119900584220886},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44645392894744873},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4287324845790863},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4134431481361389},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17327645421028137},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0710446834564209}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7572720050811768},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.688640832901001},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.6150381565093994},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.5663729310035706},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5183964371681213},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.48385465145111084},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.4827979803085327},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.47119900584220886},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44645392894744873},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4287324845790863},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4134431481361389},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17327645421028137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0710446834564209},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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":2,"locations":[{"id":"doi:10.1142/s0218127410025466","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127410025466","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"},{"id":"pmh:oai:repositorio.udesc.br:UDESC/9861","is_oa":true,"landing_page_url":"https://repositorio.udesc.br/handle/UDESC/9861","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"instacron:UDESC","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:repositorio.udesc.br:UDESC/9861","is_oa":true,"landing_page_url":"https://repositorio.udesc.br/handle/UDESC/9861","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"instacron:UDESC","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4000000059604645,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1569655867","https://openalex.org/W1970824991","https://openalex.org/W1985153874","https://openalex.org/W1988855581","https://openalex.org/W1995945562","https://openalex.org/W1996792779","https://openalex.org/W2039425457","https://openalex.org/W2039511624","https://openalex.org/W2055597397","https://openalex.org/W2070655649","https://openalex.org/W2082407103","https://openalex.org/W2089997475","https://openalex.org/W2141394518","https://openalex.org/W4294967943"],"related_works":["https://openalex.org/W2780885364","https://openalex.org/W2350504028","https://openalex.org/W3145166927","https://openalex.org/W3089139759","https://openalex.org/W2369595445","https://openalex.org/W3123966093","https://openalex.org/W2013497206","https://openalex.org/W2040690496","https://openalex.org/W2090146676","https://openalex.org/W1490768992"],"abstract_inverted_index":{"We":[0,47],"analytically":[1],"investigate":[2],"the":[3,6,29,32,36,44,49,65,68],"dynamics":[4],"of":[5,21,31,35,43,57,64,67],"generalized":[7],"Lorenz":[8],"equations":[9],"obtained":[10],"by":[11],"Stenflo":[12],"for":[13],"acoustic":[14],"gravity":[15],"waves.":[16],"By":[17],"using":[18],"Descartes'":[19],"Rule":[20],"Signs":[22],"and":[23,54,74,83],"Routh\u2013Hurwitz":[24],"Test,":[25],"we":[26],"decide":[27],"on":[28],"stability":[30],"fixed":[33,58],"points":[34,59],"Lorenz\u2013Stenflo":[37],"system,":[38],"although":[39],"without":[40],"explicit":[41],"solution":[42],"eigenvalue":[45],"equation.":[46],"determine":[48],"precise":[50],"location":[51],"where":[52],"pitchfork":[53],"Hopf":[55],"bifurcation":[56,75],"occur,":[60],"as":[61],"a":[62],"function":[63],"parameters":[66],"system.":[69],"Parameter-space":[70],"plots,":[71],"Lyapunov":[72],"exponents,":[73],"diagrams":[76],"are":[77],"used":[78],"to":[79],"numerically":[80],"characterize":[81],"periodic":[82],"chaotic":[84],"attractors.":[85]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
