{"id":"https://openalex.org/W1984578963","doi":"https://doi.org/10.1016/0005-1098(78)90036-5","title":"Bifurcation to divergence and flutter in flow-induced oscillations: an infinite dimensional analysis","display_name":"Bifurcation to divergence and flutter in flow-induced oscillations: an infinite dimensional analysis","publication_year":1978,"publication_date":"1978-07-01","ids":{"openalex":"https://openalex.org/W1984578963","doi":"https://doi.org/10.1016/0005-1098(78)90036-5","mag":"1984578963"},"language":"en","primary_location":{"id":"doi:10.1016/0005-1098(78)90036-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0005-1098(78)90036-5","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","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/A5053868357","display_name":"Philip Holmes","orcid":"https://orcid.org/0000-0002-1459-7157"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Philip Holmes","raw_affiliation_strings":["Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853, U.S.A","Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853, U.S.A.#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853, U.S.A","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853, U.S.A.#TAB#","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110208781","display_name":"Jerrold E. Marsden","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jerrold Marsden","raw_affiliation_strings":["Department of Mathematics, University of California, Berkeley, California 94720, U.S.A","Department of Mathematics, University of California, Berkeley California 94720 U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Berkeley, California 94720, U.S.A","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Mathematics, University of California, Berkeley California 94720 U.S.A","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":8.5547,"has_fulltext":false,"cited_by_count":127,"citation_normalized_percentile":{"value":0.97316187,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"14","issue":"4","first_page":"367","last_page":"384"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9933000206947327,"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":0.9933000206947327,"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"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9842000007629395,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9761000275611877,"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/center-manifold","display_name":"Center manifold","score":0.7400431632995605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6711578369140625},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6414921283721924},{"id":"https://openalex.org/keywords/flutter","display_name":"Flutter","score":0.6271246671676636},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.6050631999969482},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5841346979141235},{"id":"https://openalex.org/keywords/invariant-manifold","display_name":"Invariant manifold","score":0.5622645020484924},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5611344575881958},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.528538167476654},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5162701606750488},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5031360983848572},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4785533547401428},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.474896103143692},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.4567270874977112},{"id":"https://openalex.org/keywords/heteroclinic-bifurcation","display_name":"Heteroclinic bifurcation","score":0.4365324378013611},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.4302469491958618},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.4244387745857239},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.32375645637512207},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.22230255603790283},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2032700777053833},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16292139887809753},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1230006217956543},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08118495345115662},{"id":"https://openalex.org/keywords/aerodynamics","display_name":"Aerodynamics","score":0.07507699728012085}],"concepts":[{"id":"https://openalex.org/C74774103","wikidata":"https://www.wikidata.org/wiki/Q4504202","display_name":"Center manifold","level":5,"score":0.7400431632995605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6711578369140625},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6414921283721924},{"id":"https://openalex.org/C2777834885","wikidata":"https://www.wikidata.org/wiki/Q13417156","display_name":"Flutter","level":3,"score":0.6271246671676636},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.6050631999969482},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5841346979141235},{"id":"https://openalex.org/C20483540","wikidata":"https://www.wikidata.org/wiki/Q4200516","display_name":"Invariant manifold","level":2,"score":0.5622645020484924},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5611344575881958},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.528538167476654},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5162701606750488},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5031360983848572},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4785533547401428},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.474896103143692},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.4567270874977112},{"id":"https://openalex.org/C73888704","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Heteroclinic bifurcation","level":5,"score":0.4365324378013611},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.4302469491958618},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.4244387745857239},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.32375645637512207},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.22230255603790283},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2032700777053833},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16292139887809753},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1230006217956543},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08118495345115662},{"id":"https://openalex.org/C13393347","wikidata":"https://www.wikidata.org/wiki/Q8424","display_name":"Aerodynamics","level":2,"score":0.07507699728012085},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0005-1098(78)90036-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0005-1098(78)90036-5","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-article"},{"id":"pmh:oai:authors.library.caltech.edu:19383","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20100811-080842986","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W154669185","https://openalex.org/W656733692","https://openalex.org/W1482334167","https://openalex.org/W1539776296","https://openalex.org/W1575147392","https://openalex.org/W1591424923","https://openalex.org/W1979477922","https://openalex.org/W1989928507","https://openalex.org/W2012220364","https://openalex.org/W2023941568","https://openalex.org/W2030787748","https://openalex.org/W2035695789","https://openalex.org/W2041854671","https://openalex.org/W2043393946","https://openalex.org/W2043397430","https://openalex.org/W2062427814","https://openalex.org/W2065618801","https://openalex.org/W2078236954","https://openalex.org/W2078377537","https://openalex.org/W2083115202","https://openalex.org/W2155493829","https://openalex.org/W2332227013","https://openalex.org/W2921392328","https://openalex.org/W3007899845","https://openalex.org/W4212928962","https://openalex.org/W4240724721","https://openalex.org/W4299150230","https://openalex.org/W4299157971","https://openalex.org/W6606255116","https://openalex.org/W6659243304","https://openalex.org/W6702666204","https://openalex.org/W6813789583"],"related_works":["https://openalex.org/W110227726","https://openalex.org/W2780226079","https://openalex.org/W2329408527","https://openalex.org/W2159151868","https://openalex.org/W2347648614","https://openalex.org/W2784706587","https://openalex.org/W2394226414","https://openalex.org/W4220731476","https://openalex.org/W2382749822","https://openalex.org/W4365441268"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
