{"id":"https://openalex.org/W47809125","doi":"https://doi.org/10.1016/b978-0-12-550350-1.50030-8","title":"Bifurcations of Morse\u2013Smale Dynamical Systems\u2020\u2020AMS (MOS) 1970 SUBJECT CLASSIFICATION: 34C35, 34C40.","display_name":"Bifurcations of Morse\u2013Smale Dynamical Systems\u2020\u2020AMS (MOS) 1970 SUBJECT CLASSIFICATION: 34C35, 34C40.","publication_year":1973,"publication_date":"1973-01-01","ids":{"openalex":"https://openalex.org/W47809125","doi":"https://doi.org/10.1016/b978-0-12-550350-1.50030-8","mag":"47809125"},"language":"en","primary_location":{"id":"doi:10.1016/b978-0-12-550350-1.50030-8","doi":"https://doi.org/10.1016/b978-0-12-550350-1.50030-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/b978-0-12-550350-1.50030-8","pdf_url":null,"source":{"id":"https://openalex.org/S4306463230","display_name":"Elsevier eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamical Systems","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4240847237","display_name":"Dynamical Systems"},"type":"book-chapter","is_traditional":true,"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/A5032539152","display_name":"Sheldon E. Newhouse","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I141883831","display_name":"Instituto Nacional de Matem\u00e1tica Pura e Aplicada","ror":"https://ror.org/028caqe42","country_code":"BR","type":"facility","lineage":["https://openalex.org/I141883831","https://openalex.org/I4210151455"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"S. NEWHOUSE","raw_affiliation_strings":["Instituto de Matem\u00e1tica Pura e Aplicada, Rio de Janeiro, Brasil","Instituto de Matem\u00e1tica Pura e Aplicada, Rio de Janeiro, Brasil#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica Pura e Aplicada, Rio de Janeiro, Brasil","institution_ids":["https://openalex.org/I141883831"]},{"raw_affiliation_string":"Instituto de Matem\u00e1tica Pura e Aplicada, Rio de Janeiro, Brasil#TAB#","institution_ids":["https://openalex.org/I141883831"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022857496","display_name":"Jacob Palis","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I141883831","display_name":"Instituto Nacional de Matem\u00e1tica Pura e Aplicada","ror":"https://ror.org/028caqe42","country_code":"BR","type":"facility","lineage":["https://openalex.org/I141883831","https://openalex.org/I4210151455"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"J. PALIS","raw_affiliation_strings":["Instituto de Matem\u00e1tica Pura e Aplicada, Rio de Janeiro, Brasil","Instituto de Matem\u00e1tica Pura e Aplicada, Rio de Janeiro, Brasil#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica Pura e Aplicada, Rio de Janeiro, Brasil","institution_ids":["https://openalex.org/I141883831"]},{"raw_affiliation_string":"Instituto de Matem\u00e1tica Pura e Aplicada, Rio de Janeiro, Brasil#TAB#","institution_ids":["https://openalex.org/I141883831"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022857496"],"corresponding_institution_ids":["https://openalex.org/I141883831"],"apc_list":null,"apc_paid":null,"fwci":7.0769,"has_fulltext":false,"cited_by_count":64,"citation_normalized_percentile":{"value":0.97247706,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"303","last_page":"366"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9282000064849854,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9282000064849854,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.06949999928474426,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/morse-smale-diffeomorphisms","display_name":"Morse-Smale diffeomorphisms","score":0.9829999804496765},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"bifurcation theory","score":0.859000027179718},{"id":"https://openalex.org/keywords/non-wandering-set","display_name":"non-wandering set","score":0.8730000257492065},{"id":"https://openalex.org/keywords/cycles","display_name":"cycles","score":0.492000013589859},{"id":"https://openalex.org/keywords/genericity","display_name":"genericity","score":0.5609999895095825}],"concepts":[{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.9415435791015625},{"id":"https://openalex.org/C140031139","wikidata":"https://www.wikidata.org/wiki/Q79897","display_name":"Morse code","level":2,"score":0.721618115901947},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6386169195175171},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5129008293151855},{"id":"https://openalex.org/C165263651","wikidata":"https://www.wikidata.org/wiki/Q2443460","display_name":"Topological conjugacy","level":2,"score":0.5107285976409912},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5031494498252869},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43865251541137695},{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.4223443269729614},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.4208136796951294},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32907646894454956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12374845147132874},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05963027477264404},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/b978-0-12-550350-1.50030-8","doi":"https://doi.org/10.1016/b978-0-12-550350-1.50030-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/b978-0-12-550350-1.50030-8","pdf_url":null,"source":{"id":"https://openalex.org/S4306463230","display_name":"Elsevier eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dynamical Systems","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W132759382","https://openalex.org/W201746522","https://openalex.org/W628832714","https://openalex.org/W1550238593","https://openalex.org/W1965385865","https://openalex.org/W2029194127","https://openalex.org/W2050526412","https://openalex.org/W2051529475","https://openalex.org/W2065618801","https://openalex.org/W2071001533","https://openalex.org/W2089287967","https://openalex.org/W2093699033","https://openalex.org/W2111425084","https://openalex.org/W2913074768","https://openalex.org/W3128626748","https://openalex.org/W4206197329","https://openalex.org/W4230847851","https://openalex.org/W4237639463","https://openalex.org/W4240387662","https://openalex.org/W7013901926"],"related_works":["https://openalex.org/W2154420880","https://openalex.org/W758584950","https://openalex.org/W4243197624","https://openalex.org/W2554886106","https://openalex.org/W2590173739","https://openalex.org/W2080165376","https://openalex.org/W2091954319","https://openalex.org/W1976832919","https://openalex.org/W1565731179","https://openalex.org/W2133777788"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}