{"id":"https://openalex.org/W2963427501","doi":"https://doi.org/10.1142/s0218127412502549","title":"FOUR LIMIT CYCLES FROM PERTURBING QUADRATIC INTEGRABLE SYSTEMS BY QUADRATIC POLYNOMIALS","display_name":"FOUR LIMIT CYCLES FROM PERTURBING QUADRATIC INTEGRABLE SYSTEMS BY QUADRATIC POLYNOMIALS","publication_year":2012,"publication_date":"2012-10-01","ids":{"openalex":"https://openalex.org/W2963427501","doi":"https://doi.org/10.1142/s0218127412502549","mag":"2963427501"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412502549","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502549","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/A5100652002","display_name":"Pei Yu","orcid":"https://orcid.org/0000-0002-8848-0584"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]},{"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":["CA","CN"],"is_corresponding":true,"raw_author_name":"PEI YU","raw_affiliation_strings":["Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7, Canada","Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7, Canada","institution_ids":["https://openalex.org/I125749732"]},{"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/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"MAOAN HAN","raw_affiliation_strings":["Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B7, Canada","institution_ids":["https://openalex.org/I125749732"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100652002"],"corresponding_institution_ids":["https://openalex.org/I125749732","https://openalex.org/I21945476"],"apc_list":null,"apc_paid":null,"fwci":3.7718,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.93377625,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"22","issue":"10","first_page":"1250254","last_page":"1250254"},"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9635000228881836,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9591000080108643,"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/integrable-system","display_name":"Integrable system","score":0.8982034921646118},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.8188943862915039},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.8017427921295166},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6388456225395203},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.6367464661598206},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5167102813720703},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.46769025921821594},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4044996500015259},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36339932680130005},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06645548343658447}],"concepts":[{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.8982034921646118},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.8188943862915039},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.8017427921295166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6388456225395203},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.6367464661598206},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5167102813720703},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.46769025921821594},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4044996500015259},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36339932680130005},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06645548343658447}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127412502549","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502549","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":30,"referenced_works":["https://openalex.org/W102382135","https://openalex.org/W625401248","https://openalex.org/W1593578268","https://openalex.org/W1966709319","https://openalex.org/W1969975546","https://openalex.org/W1982088565","https://openalex.org/W1982717554","https://openalex.org/W1990026252","https://openalex.org/W1998762702","https://openalex.org/W2009497399","https://openalex.org/W2009734469","https://openalex.org/W2011741759","https://openalex.org/W2022817035","https://openalex.org/W2029954120","https://openalex.org/W2040736253","https://openalex.org/W2044413922","https://openalex.org/W2049815318","https://openalex.org/W2058335669","https://openalex.org/W2064089235","https://openalex.org/W2065540527","https://openalex.org/W2065852737","https://openalex.org/W2075420560","https://openalex.org/W2082384997","https://openalex.org/W2085197107","https://openalex.org/W2140959905","https://openalex.org/W2160545686","https://openalex.org/W2314418952","https://openalex.org/W2372306478","https://openalex.org/W4237970627","https://openalex.org/W4248348571"],"related_works":["https://openalex.org/W2243882821","https://openalex.org/W269925151","https://openalex.org/W3096788047","https://openalex.org/W2379041201","https://openalex.org/W2101513891","https://openalex.org/W4386731488","https://openalex.org/W2024156986","https://openalex.org/W2995216836","https://openalex.org/W4385817362","https://openalex.org/W2765709060"],"abstract_inverted_index":{"In":[0],"this":[1,52],"paper,":[2],"we":[3],"present":[4],"four":[5,36],"limit":[6,37],"cycles":[7,38],"in":[8,51],"quadratic":[9,19,29],"near-integrable":[10],"polynomial":[11],"systems.":[12],"It":[13],"is":[14,26],"shown":[15],"that":[16],"when":[17],"a":[18,44],"integrable":[20],"system":[21],"has":[22],"two":[23],"centers":[24],"and":[25],"perturbed":[27],"by":[28],"polynomials,":[30],"it":[31],"can":[32],"generate":[33],"at":[34],"least":[35],"with":[39],"(3,1)-distribution.":[40],"This":[41],"result":[42],"provides":[43],"positive":[45],"answer":[46],"to":[47],"an":[48],"open":[49],"question":[50],"research":[53],"area.":[54]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
