{"id":"https://openalex.org/W2014769138","doi":"https://doi.org/10.1142/s0218127412502628","title":"POLYNOMIAL FIRST INTEGRALS FOR THE CHEN AND L\u00dc SYSTEMS","display_name":"POLYNOMIAL FIRST INTEGRALS FOR THE CHEN AND L\u00dc SYSTEMS","publication_year":2012,"publication_date":"2012-11-01","ids":{"openalex":"https://openalex.org/W2014769138","doi":"https://doi.org/10.1142/s0218127412502628","mag":"2014769138"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412502628","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502628","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://ddd.uab.cat/record/150500","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046015548","display_name":"Jaume Llibre","orcid":"https://orcid.org/0000-0002-9511-5999"},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"JAUME LLIBRE","raw_affiliation_strings":["Departament de Matem\u00e0tiques, Universitat Aut\u00f2noma de Barcelona, 08193, Bellaterra, Barcelona, Catalonia, Spain"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques, Universitat Aut\u00f2noma de Barcelona, 08193, Bellaterra, Barcelona, Catalonia, Spain","institution_ids":["https://openalex.org/I123044942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070562969","display_name":"Cl\u00e0ud\u00eca Valls","orcid":"https://orcid.org/0000-0001-8279-1229"},"institutions":[{"id":"https://openalex.org/I4387152517","display_name":"Instituto Superior T\u00e9cnico","ror":"https://ror.org/03db2by73","country_code":null,"type":"education","lineage":["https://openalex.org/I141596103","https://openalex.org/I4387152517"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"CLAUDIA VALLS","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico (U.T.L.), Av. Rovisco Pais 1049-001 Lisboa, Portugal"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico (U.T.L.), Av. Rovisco Pais 1049-001 Lisboa, Portugal","institution_ids":["https://openalex.org/I4387152517"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046015548"],"corresponding_institution_ids":["https://openalex.org/I123044942"],"apc_list":null,"apc_paid":null,"fwci":2.0955,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.85483294,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"22","issue":"11","first_page":"1250262","last_page":"1250262"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.998199999332428,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9980000257492065,"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/chen","display_name":"Chen","score":0.9197608232498169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7816054821014404},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.624663233757019},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.6108511686325073},{"id":"https://openalex.org/keywords/homogeneous-polynomial","display_name":"Homogeneous polynomial","score":0.5004422664642334},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4966047406196594},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.47292596101760864},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4285678267478943},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37722718715667725},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.35939180850982666},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34582769870758057},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18941166996955872}],"concepts":[{"id":"https://openalex.org/C2776085556","wikidata":"https://www.wikidata.org/wiki/Q183361","display_name":"Chen","level":2,"score":0.9197608232498169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7816054821014404},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.624663233757019},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6108511686325073},{"id":"https://openalex.org/C17103678","wikidata":"https://www.wikidata.org/wiki/Q1474074","display_name":"Homogeneous polynomial","level":4,"score":0.5004422664642334},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4966047406196594},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.47292596101760864},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4285678267478943},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37722718715667725},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.35939180850982666},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34582769870758057},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18941166996955872},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218127412502628","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502628","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:ddd.uab.cat:150500","is_oa":true,"landing_page_url":"https://ddd.uab.cat/record/150500","pdf_url":"https://ddd.uab.cat/record/150500","source":{"id":"https://openalex.org/S4306400381","display_name":"Dip\u00f2sit Digital de Documents de la UAB (Universitat Aut\u00f2noma de Barcelona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123044942","host_organization_name":"Universitat Aut\u00f2noma de Barcelona","host_organization_lineage":["https://openalex.org/I123044942"],"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":null,"raw_type":"Article"},{"id":"pmh:oai:dnet:uabarcelona_::f00f4b61b905a589646a39cd38ec02dd","is_oa":false,"landing_page_url":"http://ddd.uab.cat/record/150500","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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ddd.uab.cat:150500","is_oa":true,"landing_page_url":"https://ddd.uab.cat/record/150500","pdf_url":"https://ddd.uab.cat/record/150500","source":{"id":"https://openalex.org/S4306400381","display_name":"Dip\u00f2sit Digital de Documents de la UAB (Universitat Aut\u00f2noma de Barcelona)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123044942","host_organization_name":"Universitat Aut\u00f2noma de Barcelona","host_organization_lineage":["https://openalex.org/I123044942"],"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":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G196208344","display_name":null,"funder_award_id":"2009SGR","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G4089352303","display_name":null,"funder_award_id":"MTM2008-03437","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G5301220158","display_name":null,"funder_award_id":"MTM2008-03437","funder_id":"https://openalex.org/F4320322121","funder_display_name":"Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats"}],"funders":[{"id":"https://openalex.org/F4320321505","display_name":"Generalitat de Catalunya","ror":"https://ror.org/01bg62x04"},{"id":"https://openalex.org/F4320322121","display_name":"Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats","ror":"https://ror.org/0371hy230"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2014769138.pdf","grobid_xml":"https://content.openalex.org/works/W2014769138.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1141288658","https://openalex.org/W1487317073","https://openalex.org/W1993301325","https://openalex.org/W2029280682","https://openalex.org/W2029750936","https://openalex.org/W2031934673","https://openalex.org/W2035706753","https://openalex.org/W2036870441","https://openalex.org/W2043266210","https://openalex.org/W2069436097","https://openalex.org/W2094864723","https://openalex.org/W2135687388","https://openalex.org/W2135879504","https://openalex.org/W2186556993","https://openalex.org/W2239205073"],"related_works":["https://openalex.org/W2056024401","https://openalex.org/W3216258873","https://openalex.org/W3049599074","https://openalex.org/W2149734642","https://openalex.org/W4311251537","https://openalex.org/W2964168342","https://openalex.org/W2185931218","https://openalex.org/W2027514662","https://openalex.org/W4308568595","https://openalex.org/W4320917455"],"abstract_inverted_index":{"We":[0,34],"characterize":[1],"all":[2],"the":[3,6,10,25],"values":[4],"of":[5,27],"parameters":[7],"for":[8,29],"which":[9,38],"Chen":[11],"and":[12,24],"L\u00fc":[13],"systems":[14],"have":[15],"polynomial":[16],"first":[17],"integrals":[18],"by":[19],"using":[20],"weight":[21],"homogeneous":[22],"polynomials":[23],"method":[26],"characteristics":[28],"solving":[30],"partial":[31],"differential":[32],"equations.":[33],"improve":[35],"previous":[36],"results":[37],"were":[39],"not":[40],"complete.":[41]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-23T09:07:50.710637","created_date":"2025-10-10T00:00:00"}