{"id":"https://openalex.org/W4393231984","doi":"https://doi.org/10.1142/s0218127424300064","title":"Bifurcations for Homoclinic Networks in Two-Dimensional Polynomial Systems","display_name":"Bifurcations for Homoclinic Networks in Two-Dimensional Polynomial Systems","publication_year":2024,"publication_date":"2024-03-15","ids":{"openalex":"https://openalex.org/W4393231984","doi":"https://doi.org/10.1142/s0218127424300064"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127424300064","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127424300064","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/A5076270155","display_name":"Albert C. J. Luo","orcid":"https://orcid.org/0000-0001-8208-6108"},"institutions":[{"id":"https://openalex.org/I87547150","display_name":"Southern Illinois University Edwardsville","ror":"https://ror.org/04cqs5j56","country_code":"US","type":"education","lineage":["https://openalex.org/I2801502357","https://openalex.org/I87547150"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Albert C. J. Luo","raw_affiliation_strings":["Department of Mechanical and Mechatronics Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA"],"raw_orcid":"https://orcid.org/0000-0001-8208-6108","affiliations":[{"raw_affiliation_string":"Department of Mechanical and Mechatronics Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA","institution_ids":["https://openalex.org/I87547150"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076270155"],"corresponding_institution_ids":["https://openalex.org/I87547150"],"apc_list":null,"apc_paid":null,"fwci":0.6416,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67341329,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"34","issue":"03","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9563000202178955,"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":0.9563000202178955,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.9227806329727173},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5738558769226074},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5546391010284424},{"id":"https://openalex.org/keywords/homoclinic-bifurcation","display_name":"Homoclinic bifurcation","score":0.417055606842041},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.38141578435897827},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37024229764938354},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30190083384513855},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19753316044807434},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1157149076461792}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.9227806329727173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5738558769226074},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5546391010284424},{"id":"https://openalex.org/C155405617","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Homoclinic bifurcation","level":5,"score":0.417055606842041},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.38141578435897827},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37024229764938354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30190083384513855},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19753316044807434},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1157149076461792},{"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:10.1142/s0218127424300064","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127424300064","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":14,"referenced_works":["https://openalex.org/W116565880","https://openalex.org/W1992299830","https://openalex.org/W2001229497","https://openalex.org/W2010995477","https://openalex.org/W2040736253","https://openalex.org/W2044413922","https://openalex.org/W2049815318","https://openalex.org/W2051847149","https://openalex.org/W2089005369","https://openalex.org/W2584645706","https://openalex.org/W2792049198","https://openalex.org/W2913687615","https://openalex.org/W4293079168","https://openalex.org/W4392204127"],"related_works":["https://openalex.org/W2890492950","https://openalex.org/W2010606039","https://openalex.org/W3115184012","https://openalex.org/W352136236","https://openalex.org/W1999123830","https://openalex.org/W944345475","https://openalex.org/W2045215015","https://openalex.org/W2356323067","https://openalex.org/W2363270381","https://openalex.org/W1056177206"],"abstract_inverted_index":{"The":[0,57,85,97,112,153],"bifurcation":[1,174,187],"theory":[2,175],"for":[3,45,64,89,119],"homoclinic":[4,46,66,120,146],"networks":[5,47,67,94,103,121,147,159],"with":[6,75,129],"singular":[7,71,76,92,100,123,130,156],"and":[8,33,42,59,70,79,91,108,114,124,127,132,139,163],"nonsingular":[9,69,90,105,125,161],"equilibriums":[10,49,101,157],"is":[11,181],"a":[12],"key":[13],"to":[14,102,158],"understand":[15,172],"the":[16,28,40,65,140,185],"global":[17],"dynamics":[18],"of":[19,31,68,99,104,122,144,155,160],"nonlinear":[20,35,177],"dynamical":[21,29,53,178],"systems,":[22,138,179],"which":[23,180],"will":[24],"help":[25,170],"one":[26,171],"determine":[27],"behaviors":[30],"physical":[32],"engineering":[34],"systems.":[36,84],"In":[37],"this":[38],"paper,":[39],"appearing":[41,58,113],"switching":[43,60,115],"bifurcations":[44,61,116],"through":[48,150],"in":[50,81,135,176],"planar":[51],"polynomial":[52,83,137,151],"systems":[54],"are":[55,62,95,110,117,148,165],"studied.":[56],"discussed":[63],"sources,":[72,106],"sinks,":[73],"saddles":[74,109,126,134,162],"saddle-sources,":[77],"saddle-sinks,":[78],"double-saddles":[80],"self-univariate":[82],"first":[86,141],"integral":[87,142],"manifolds":[88,143],"equilibrium":[93],"determined.":[96],"illustrations":[98,154],"sinks":[107],"given.":[111,166],"studied":[118],"centers":[128,164],"parabola-saddles":[131],"double-inflection":[133],"crossing-univariate":[136],"such":[145],"determined":[149],"functions.":[152],"This":[167],"paper":[168],"may":[169],"higher-order":[173],"completely":[182],"different":[183],"from":[184],"classic":[186],"theories.":[188]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
