{"id":"https://openalex.org/W1991600404","doi":"https://doi.org/10.1007/s003320010002","title":"Euler Buckling in a Potential Field","display_name":"Euler Buckling in a Potential Field","publication_year":2000,"publication_date":"2000-08-01","ids":{"openalex":"https://openalex.org/W1991600404","doi":"https://doi.org/10.1007/s003320010002","mag":"1991600404"},"language":"en","primary_location":{"id":"doi:10.1007/s003320010002","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s003320010002","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","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/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"P. Holmes","raw_affiliation_strings":["Program in Applied and Computational Mathematics and  Department of Mechanical and Aerospace Engineering,  Princeton University, Princeton, NJ 08544, USA, US","Program in Applied and Computational Mathematics and  Department of Mechanical and Aerospace Engineering,  Princeton University, Princeton, NJ 08544, USA"],"affiliations":[{"raw_affiliation_string":"Program in Applied and Computational Mathematics and  Department of Mechanical and Aerospace Engineering,  Princeton University, Princeton, NJ 08544, USA, US","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Program in Applied and Computational Mathematics and  Department of Mechanical and Aerospace Engineering,  Princeton University, Princeton, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053966502","display_name":"G. Domokos","orcid":"https://orcid.org/0000-0002-8676-6829"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]},{"id":"https://openalex.org/I4210161853","display_name":"Budapest Institute","ror":"https://ror.org/050hvq478","country_code":"HU","type":"facility","lineage":["https://openalex.org/I4210161853"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"G. Domokos","raw_affiliation_strings":["Department of Strength of Materials,  Technical University of Budapest, H-1521 Budapest, Hungary, HU","Department of Strength of Materials,  Technical University of Budapest, H-1521 Budapest, Hungary"],"affiliations":[{"raw_affiliation_string":"Department of Strength of Materials,  Technical University of Budapest, H-1521 Budapest, Hungary, HU","institution_ids":["https://openalex.org/I4210161853","https://openalex.org/I106118109"]},{"raw_affiliation_string":"Department of Strength of Materials,  Technical University of Budapest, H-1521 Budapest, Hungary","institution_ids":["https://openalex.org/I4210161853","https://openalex.org/I106118109"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035780014","display_name":"Geertje Hek","orcid":null},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"G. Hek","raw_affiliation_strings":["Mathematisch Instituut, Universiteit Utrecht, P.O. Box 80.010,  3508 TA Utrecht,  The Netherlands, NL","Mathematisch Instituut Universiteit Utrecht P.O. Box 80.010 3508 TA Utrecht The Netherlands"],"affiliations":[{"raw_affiliation_string":"Mathematisch Instituut, Universiteit Utrecht, P.O. Box 80.010,  3508 TA Utrecht,  The Netherlands, NL","institution_ids":["https://openalex.org/I193662353"]},{"raw_affiliation_string":"Mathematisch Instituut Universiteit Utrecht P.O. Box 80.010 3508 TA Utrecht The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053868357"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.4893,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.80640694,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"10","issue":"4","first_page":"477","last_page":"505"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9943000078201294,"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"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9930999875068665,"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/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.8518717288970947},{"id":"https://openalex.org/keywords/heteroclinic-cycle","display_name":"Heteroclinic cycle","score":0.69933021068573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6782759428024292},{"id":"https://openalex.org/keywords/heteroclinic-orbit","display_name":"Heteroclinic orbit","score":0.5850569009780884},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5641362071037292},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.5349280834197998},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.5059112906455994},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4761764407157898},{"id":"https://openalex.org/keywords/heteroclinic-bifurcation","display_name":"Heteroclinic bifurcation","score":0.47446781396865845},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4715179204940796},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.39250147342681885},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.32155340909957886},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.28315049409866333},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19819357991218567},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.19061896204948425}],"concepts":[{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.8518717288970947},{"id":"https://openalex.org/C142115181","wikidata":"https://www.wikidata.org/wiki/Q16948232","display_name":"Heteroclinic cycle","level":5,"score":0.69933021068573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6782759428024292},{"id":"https://openalex.org/C184481792","wikidata":"https://www.wikidata.org/wiki/Q1992087","display_name":"Heteroclinic orbit","level":5,"score":0.5850569009780884},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5641362071037292},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.5349280834197998},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5059112906455994},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4761764407157898},{"id":"https://openalex.org/C73888704","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Heteroclinic bifurcation","level":5,"score":0.47446781396865845},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4715179204940796},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.39250147342681885},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.32155340909957886},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28315049409866333},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19819357991218567},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.19061896204948425},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s003320010002","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s003320010002","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/3b048cac-cfed-45cc-8323-634ef9c57315","is_oa":false,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/euler-buckling-in-a-potential-field(3b048cac-cfed-45cc-8323-634ef9c57315).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Holmes, P, Domokos, G & Hek, G M 2000, 'Euler buckling in a potential field', Journal of Nonlinear Science, vol. 10, pp. 477-505.","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:dare.uva.nl:publications/3b048cac-cfed-45cc-8323-634ef9c57315","is_oa":false,"landing_page_url":"http://dare.uva.nl/personal/pure/en/publications/euler-buckling-in-a-potential-field(3b048cac-cfed-45cc-8323-634ef9c57315).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Holmes, P, Domokos, G & Hek, G M 2000, 'Euler buckling in a potential field', Journal of Nonlinear Science, vol. 10, pp. 477-505.","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:uvapub:oai:dare.uva.nl:publications/3b048cac-cfed-45cc-8323-634ef9c57315","is_oa":false,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/euler-buckling-in-a-potential-field(3b048cac-cfed-45cc-8323-634ef9c57315).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Nonlinear Science, 10, 477 - 505. Springer New York","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.75,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W120589957","https://openalex.org/W1491891466","https://openalex.org/W1506437909","https://openalex.org/W1508861003","https://openalex.org/W1963966586","https://openalex.org/W1978087626","https://openalex.org/W1997147969","https://openalex.org/W2007433985","https://openalex.org/W2057604476","https://openalex.org/W2057908855","https://openalex.org/W2078925777","https://openalex.org/W2088986191","https://openalex.org/W2110676081","https://openalex.org/W2127411271","https://openalex.org/W2164761951","https://openalex.org/W2493923729"],"related_works":["https://openalex.org/W2151523878","https://openalex.org/W1979395696","https://openalex.org/W2049546479","https://openalex.org/W2233510040","https://openalex.org/W2052180011","https://openalex.org/W1497977526","https://openalex.org/W2008693397","https://openalex.org/W4300116311","https://openalex.org/W2382855647","https://openalex.org/W2953322339"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
