{"id":"https://openalex.org/W3158352495","doi":"https://doi.org/10.1007/978-3-030-55874-1_110","title":"Equilibrium Path Analysis Including Bifurcations with an Arc-Length Method Avoiding A Priori Perturbations","display_name":"Equilibrium Path Analysis Including Bifurcations with an Arc-Length Method Avoiding A Priori Perturbations","publication_year":2020,"publication_date":"2020-08-22","ids":{"openalex":"https://openalex.org/W3158352495","doi":"https://doi.org/10.1007/978-3-030-55874-1_110","mag":"3158352495"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-55874-1_110","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-55874-1_110","pdf_url":null,"source":{"id":"https://openalex.org/S4210192791","display_name":"Lecture notes in computational science and engineering","issn_l":"1439-7358","issn":["1439-7358","2197-7100"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computational Science and Engineering","raw_type":"book-chapter"},"type":"book-chapter","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/A5053699940","display_name":"H. M. Verhelst","orcid":"https://orcid.org/0000-0001-8677-862X"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"H. M. Verhelst","raw_affiliation_strings":["Delft University of Technology, Department of Applied Mathematics, Delft, The Netherlands","Delft University of Technology, Department of Maritime and Transport Technology, Delft, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft University of Technology, Department of Applied Mathematics, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Delft University of Technology, Department of Maritime and Transport Technology, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010624209","display_name":"Matthias M\u00f6ller","orcid":"https://orcid.org/0000-0003-0802-945X"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"M. M\u00f6ller","raw_affiliation_strings":["Delft University of Technology, Department of Applied Mathematics, Delft, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft University of Technology, Department of Applied Mathematics, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109913878","display_name":"J.H. den Besten","orcid":null},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"J. \u00a0H. Den Besten","raw_affiliation_strings":["Delft University of Technology, Department of Maritime and Transport Technology, Delft, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft University of Technology, Department of Maritime and Transport Technology, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045275034","display_name":"F.J. Vermolen","orcid":"https://orcid.org/0000-0003-2212-1711"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"F. J. Vermolen","raw_affiliation_strings":["DIAM, Delft University of Technology, Delft, The Netherlands","Delft University of Technology, Department of Applied Mathematics, Delft, The Netherlands"],"affiliations":[{"raw_affiliation_string":"DIAM, Delft University of Technology, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Delft University of Technology, Department of Applied Mathematics, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045524004","display_name":"Miroslaw Lech Kaminski","orcid":"https://orcid.org/0000-0002-1849-2168"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"M. L. Kaminski","raw_affiliation_strings":["Delft University of Technology, Department of Maritime and Transport Technology, Delft, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft University of Technology, Department of Maritime and Transport Technology, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5053699940"],"corresponding_institution_ids":["https://openalex.org/I98358874"],"apc_list":null,"apc_paid":null,"fwci":1.5681,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.92083109,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1109","last_page":"1117"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11138","display_name":"Tribology and Lubrication Engineering","score":0.9847000241279602,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9775999784469604,"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/bifurcation","display_name":"Bifurcation","score":0.8066478967666626},{"id":"https://openalex.org/keywords/buckling","display_name":"Buckling","score":0.7529987096786499},{"id":"https://openalex.org/keywords/numerical-continuation","display_name":"Numerical continuation","score":0.7030947208404541},{"id":"https://openalex.org/keywords/traverse","display_name":"Traverse","score":0.6010891795158386},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5996683239936829},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5936851501464844},{"id":"https://openalex.org/keywords/bifurcation-theory","display_name":"Bifurcation theory","score":0.45426976680755615},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4331212341785431},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4281241297721863},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38518744707107544},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34827837347984314},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.317133367061615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16092374920845032},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15111574530601501},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.1436019241809845},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11652886867523193},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07371711730957031},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.07295042276382446}],"concepts":[{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.8066478967666626},{"id":"https://openalex.org/C85476182","wikidata":"https://www.wikidata.org/wiki/Q693104","display_name":"Buckling","level":2,"score":0.7529987096786499},{"id":"https://openalex.org/C2775978667","wikidata":"https://www.wikidata.org/wiki/Q7069654","display_name":"Numerical continuation","level":4,"score":0.7030947208404541},{"id":"https://openalex.org/C176809094","wikidata":"https://www.wikidata.org/wiki/Q15401496","display_name":"Traverse","level":2,"score":0.6010891795158386},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5996683239936829},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5936851501464844},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.45426976680755615},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4331212341785431},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4281241297721863},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38518744707107544},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34827837347984314},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.317133367061615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16092374920845032},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15111574530601501},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.1436019241809845},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11652886867523193},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07371711730957031},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.07295042276382446},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-55874-1_110","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-55874-1_110","pdf_url":null,"source":{"id":"https://openalex.org/S4210192791","display_name":"Lecture notes in computational science and engineering","issn_l":"1439-7358","issn":["1439-7358","2197-7100"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computational Science and Engineering","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W601713258","https://openalex.org/W1502834825","https://openalex.org/W1975576356","https://openalex.org/W1981349567","https://openalex.org/W2005412950","https://openalex.org/W2006137560","https://openalex.org/W2012989555","https://openalex.org/W2025180547","https://openalex.org/W2028183202","https://openalex.org/W2035114270","https://openalex.org/W2053113138","https://openalex.org/W2062894103","https://openalex.org/W2069770065","https://openalex.org/W2090768491","https://openalex.org/W2090951265","https://openalex.org/W2094586029","https://openalex.org/W2101431034","https://openalex.org/W2102163281","https://openalex.org/W2114843295","https://openalex.org/W2250473119","https://openalex.org/W2520685535","https://openalex.org/W2900311683","https://openalex.org/W2906124238","https://openalex.org/W2948688665","https://openalex.org/W4237082593"],"related_works":["https://openalex.org/W3097020820","https://openalex.org/W2137413016","https://openalex.org/W2094046875","https://openalex.org/W2069713792","https://openalex.org/W110415256","https://openalex.org/W370258010","https://openalex.org/W2334634358","https://openalex.org/W2084334224","https://openalex.org/W2005079237","https://openalex.org/W1877398956"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}