{"id":"https://openalex.org/W2044774252","doi":"https://doi.org/10.1007/s11075-013-9776-x","title":"A novel approach to obtain analytical-numerical solutions of nonlinear Lorenz system","display_name":"A novel approach to obtain analytical-numerical solutions of nonlinear Lorenz system","publication_year":2013,"publication_date":"2013-10-13","ids":{"openalex":"https://openalex.org/W2044774252","doi":"https://doi.org/10.1007/s11075-013-9776-x","mag":"2044774252"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-013-9776-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-013-9776-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","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/A5065061160","display_name":"Gilberto Gonz\u00e1lez\u2010Parra","orcid":"https://orcid.org/0000-0001-5847-678X"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]},{"id":"https://openalex.org/I203303854","display_name":"University of the Andes","ror":"https://ror.org/02h1b1x27","country_code":"VE","type":"education","lineage":["https://openalex.org/I203303854"]}],"countries":["US","VE"],"is_corresponding":true,"raw_author_name":"Gilberto Gonz\u00e1lez-Parra","raw_affiliation_strings":["Centro de Investigaciones en Matem\u00e1tica Aplicada (CIMA), Universidad de Los Andes, M\u00e9rida, Venezuela","Department of Mathematics, University of Texas at Arlington, Arlington, TX, 76019, USA","Grupo de Matem\u00e1tica Multidisciplinar (GMM), Fac. de Ingenier\u00eda, Universidad de Los Andes, M\u00e9rida, Venezuela"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Investigaciones en Matem\u00e1tica Aplicada (CIMA), Universidad de Los Andes, M\u00e9rida, Venezuela","institution_ids":["https://openalex.org/I203303854"]},{"raw_affiliation_string":"Department of Mathematics, University of Texas at Arlington, Arlington, TX, 76019, USA","institution_ids":["https://openalex.org/I189196454"]},{"raw_affiliation_string":"Grupo de Matem\u00e1tica Multidisciplinar (GMM), Fac. de Ingenier\u00eda, Universidad de Los Andes, M\u00e9rida, Venezuela","institution_ids":["https://openalex.org/I203303854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069776995","display_name":"L. Acedo","orcid":"https://orcid.org/0000-0002-9118-1200"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Luis Acedo","raw_affiliation_strings":["Instituto de Matem\u00e1tica Multidisciplinar, Universidad Polit\u00e9cnica de Valencia, Valencia, Espa\u00f1a"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica Multidisciplinar, Universidad Polit\u00e9cnica de Valencia, Valencia, Espa\u00f1a","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026680646","display_name":"Abraham J. Arenas","orcid":"https://orcid.org/0000-0003-3106-1271"},"institutions":[{"id":"https://openalex.org/I324290372","display_name":"University of C\u00f3rdoba","ror":"https://ror.org/04nmbd607","country_code":"CO","type":"education","lineage":["https://openalex.org/I324290372"]},{"id":"https://openalex.org/I4210101808","display_name":"Universidad del Sin\u00fa","ror":"https://ror.org/013ys5k90","country_code":"CO","type":"education","lineage":["https://openalex.org/I4210101808"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Abraham J. Arenas","raw_affiliation_strings":["Departamento de Matem\u00e1ticas y Estad\u00edstica, Universidad de C\u00f3rdoba, Monter\u00eda, Colombia","Grupo Teseeo, Universidad del Sin\u00fa, Monter\u00eda, Colombia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas y Estad\u00edstica, Universidad de C\u00f3rdoba, Monter\u00eda, Colombia","institution_ids":["https://openalex.org/I324290372"]},{"raw_affiliation_string":"Grupo Teseeo, Universidad del Sin\u00fa, Monter\u00eda, Colombia","institution_ids":["https://openalex.org/I4210101808"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5065061160"],"corresponding_institution_ids":["https://openalex.org/I189196454","https://openalex.org/I203303854"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.08353414,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"67","issue":"1","first_page":"93","last_page":"107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9955999851226807,"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":0.9901999831199646,"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/lorenz-system","display_name":"Lorenz system","score":0.7118880152702332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6492937803268433},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6454185247421265},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5730177164077759},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5681865215301514},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.5412999391555786},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.510158121585846},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.46991032361984253},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.4643818140029907},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.44827672839164734},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.444327175617218},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3652271628379822},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.21715086698532104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18260520696640015},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.15584462881088257},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15374374389648438},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10652938485145569}],"concepts":[{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.7118880152702332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6492937803268433},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6454185247421265},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5730177164077759},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5681865215301514},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.5412999391555786},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.510158121585846},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.46991032361984253},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.4643818140029907},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.44827672839164734},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.444327175617218},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3652271628379822},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.21715086698532104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18260520696640015},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.15584462881088257},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15374374389648438},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10652938485145569},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-013-9776-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-013-9776-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1480513563","https://openalex.org/W1627657632","https://openalex.org/W1651600377","https://openalex.org/W1967077368","https://openalex.org/W1969350106","https://openalex.org/W1976196891","https://openalex.org/W1981602534","https://openalex.org/W1989097268","https://openalex.org/W1989336225","https://openalex.org/W1992477682","https://openalex.org/W1999399200","https://openalex.org/W2019944347","https://openalex.org/W2025614917","https://openalex.org/W2032165289","https://openalex.org/W2032632404","https://openalex.org/W2043000954","https://openalex.org/W2062552543","https://openalex.org/W2080456722","https://openalex.org/W2082069670","https://openalex.org/W2086365044","https://openalex.org/W2141394518","https://openalex.org/W4231102510","https://openalex.org/W4246474879","https://openalex.org/W4254879547","https://openalex.org/W4300768927"],"related_works":["https://openalex.org/W2372129196","https://openalex.org/W2376048186","https://openalex.org/W1890102852","https://openalex.org/W4383955238","https://openalex.org/W4386858665","https://openalex.org/W2149205801","https://openalex.org/W2371307312","https://openalex.org/W2390700585","https://openalex.org/W3014044074","https://openalex.org/W1996785905"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}