{"id":"https://openalex.org/W2092620540","doi":"https://doi.org/10.1142/s0218127410028045","title":"LIMIT CYCLE BIFURCATIONS OF SOME LI\u00c9NARD SYSTEMS WITH A NILPOTENT CUSP","display_name":"LIMIT CYCLE BIFURCATIONS OF SOME LI\u00c9NARD SYSTEMS WITH A NILPOTENT CUSP","publication_year":2010,"publication_date":"2010-11-01","ids":{"openalex":"https://openalex.org/W2092620540","doi":"https://doi.org/10.1142/s0218127410028045","mag":"2092620540"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127410028045","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127410028045","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/A5034144161","display_name":"Junmin Yang","orcid":"https://orcid.org/0000-0002-1627-0035"},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JUNMIN YANG","raw_affiliation_strings":["Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China","institution_ids":["https://openalex.org/I21945476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030649439","display_name":"Maoan Han","orcid":"https://orcid.org/0000-0001-8792-1256"},"institutions":[{"id":"https://openalex.org/I21945476","display_name":"Shanghai Normal University","ror":"https://ror.org/01cxqmw89","country_code":"CN","type":"education","lineage":["https://openalex.org/I21945476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"MAOAN HAN","raw_affiliation_strings":["Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China","institution_ids":["https://openalex.org/I21945476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4979,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.81697952,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"20","issue":"11","first_page":"3829","last_page":"3839"},"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":1.0,"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":1.0,"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":0.9463000297546387,"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/T11844","display_name":"Lipid metabolism and biosynthesis","score":0.9337999820709229,"subfield":{"id":"https://openalex.org/subfields/1303","display_name":"Biochemistry"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7913835048675537},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.7336328029632568},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.7303860187530518},{"id":"https://openalex.org/keywords/cusp","display_name":"Cusp (singularity)","score":0.7247682809829712},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.7065191864967346},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.510013222694397},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37144964933395386},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3685237765312195},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24097636342048645},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20062431693077087},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09204122424125671},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07018500566482544}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7913835048675537},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.7336328029632568},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7303860187530518},{"id":"https://openalex.org/C2778400075","wikidata":"https://www.wikidata.org/wiki/Q655275","display_name":"Cusp (singularity)","level":2,"score":0.7247682809829712},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.7065191864967346},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.510013222694397},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37144964933395386},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3685237765312195},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24097636342048645},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20062431693077087},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09204122424125671},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07018500566482544}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127410028045","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127410028045","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1969975546","https://openalex.org/W1987424788","https://openalex.org/W1995731991","https://openalex.org/W2026785981","https://openalex.org/W2027696719","https://openalex.org/W2075420560","https://openalex.org/W2083318543","https://openalex.org/W2087442477","https://openalex.org/W2092687100","https://openalex.org/W2097813893","https://openalex.org/W2106548233"],"related_works":["https://openalex.org/W4388297534","https://openalex.org/W2051439117","https://openalex.org/W1673883441","https://openalex.org/W4298109871","https://openalex.org/W2069557654","https://openalex.org/W2313188567","https://openalex.org/W4248124207","https://openalex.org/W2083477739","https://openalex.org/W2087320822","https://openalex.org/W2089966216"],"abstract_inverted_index":{"In":[0],"this":[1,38],"paper,":[2],"we":[3],"study":[4],"the":[5,27,31],"number":[6,33],"of":[7,10,13,30,34,40],"limit":[8,35],"cycles":[9,36],"a":[11,18],"kind":[12,39],"polynomial":[14],"Li\u00e9nard":[15],"system":[16],"with":[17],"nilpotent":[19],"cusp":[20],"and":[21],"obtain":[22],"some":[23],"new":[24],"results":[25],"on":[26],"lower":[28],"bound":[29],"maximal":[32],"for":[37],"systems.":[41]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}