{"id":"https://openalex.org/W2065293167","doi":"https://doi.org/10.1023/b:ukma.0000027040.19459.a4","title":"Subharmonics of a Nonconvex Noncoercive Hamiltonian System","display_name":"Subharmonics of a Nonconvex Noncoercive Hamiltonian System","publication_year":2003,"publication_date":"2003-11-01","ids":{"openalex":"https://openalex.org/W2065293167","doi":"https://doi.org/10.1023/b:ukma.0000027040.19459.a4","mag":"2065293167"},"language":"en","primary_location":{"id":"doi:10.1023/b:ukma.0000027040.19459.a4","doi":"https://doi.org/10.1023/b:ukma.0000027040.19459.a4","is_oa":false,"landing_page_url":"https://doi.org/10.1023/b:ukma.0000027040.19459.a4","pdf_url":null,"source":{"id":"https://openalex.org/S145196850","display_name":"Ukrainian Mathematical Journal","issn_l":"0041-5995","issn":["0041-5995","0041-6053","1573-9376"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-3"],"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":"Ukrainian Mathematical Journal","raw_type":"journal-article"},"volume":null,"type":"article","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/A5075442703","display_name":"N. Kallel","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N. Kallel","raw_affiliation_strings":["Preparatory Institute of Engineering Studies, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Preparatory Institute of Engineering Studies, Tunisia","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008347104","display_name":"Mohsen Timoumi","orcid":"https://orcid.org/0000-0003-1350-7110","observed_orcids":["https://orcid.org/0000-0003-1350-7110"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Timoumi","raw_affiliation_strings":["Preparatory Institute of Engineering Studies, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Preparatory Institute of Engineering Studies, Tunisia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"55","issue":"11","first_page":"1754","last_page":"1764"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9506999850273132,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9506999850273132,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.016899999231100082,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.014100000262260437,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subharmonic-solutions","display_name":"subharmonic solutions","score":0.8100000023841858},{"id":"https://openalex.org/keywords/hamiltonian-systems","display_name":"Hamiltonian systems","score":0.8209999799728394},{"id":"https://openalex.org/keywords/non-convex-hamiltonians","display_name":"non-convex Hamiltonians","score":0.859000027179718},{"id":"https://openalex.org/keywords/multiple-periodic-solutions","display_name":"multiple periodic solutions","score":0.9399999976158142},{"id":"https://openalex.org/keywords/existence-of-solutions","display_name":"existence of solutions","score":0.5400000214576721},{"id":"https://openalex.org/keywords/linear-perturbations","display_name":"linear perturbations","score":0.40700000524520874}],"concepts":[{"id":"https://openalex.org/C54207081","wikidata":"https://www.wikidata.org/wiki/Q937750","display_name":"Nabla symbol","level":3,"score":0.8907960653305054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8266202807426453},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.7136744856834412},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5419889092445374},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45391586422920227},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40944424271583557},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.08863922953605652},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07752397656440735},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.046345680952072144},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1023/b:ukma.0000027040.19459.a4","doi":"https://doi.org/10.1023/b:ukma.0000027040.19459.a4","is_oa":false,"landing_page_url":"https://doi.org/10.1023/b:ukma.0000027040.19459.a4","pdf_url":null,"source":{"id":"https://openalex.org/S145196850","display_name":"Ukrainian Mathematical Journal","issn_l":"0041-5995","issn":["0041-5995","0041-6053","1573-9376"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-3"],"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":"Ukrainian Mathematical Journal","raw_type":"journal-article"},{"id":"pmh:oai:ojs2.umj-ojs.imath.kiev.ua:article/4016","doi":null,"is_oa":false,"landing_page_url":"https://umj.imath.kiev.ua/index.php/umj/article/view/4016","pdf_url":null,"source":{"id":"https://openalex.org/S4210234218","display_name":"Ukrains\u2019kyi Matematychnyi Zhurnal","issn_l":"1027-3190","issn":["1027-3190"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310322009","host_organization_name":"Institute of Mathematics of the National Academy of Sciences of Ukraine","host_organization_lineage":["https://openalex.org/P4310322009","https://openalex.org/P4310321802"],"host_organization_lineage_names":["Institute of Mathematics of the National Academy of Sciences of Ukraine","National Academy of Sciences of Ukraine"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1027-3190","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dspace.nbuv.gov.ua:123456789/164362","doi":null,"is_oa":false,"landing_page_url":"http://dspace.nbuv.gov.ua/handle/123456789/164362","pdf_url":null,"source":{"id":"https://openalex.org/S4306401959","display_name":"The scientific electronic library of periodicals of the National Academy of Sciences of Ukraine (National Academy of Sciences of Ukraine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I149851306","host_organization_name":"National Academy of Sciences of Ukraine","host_organization_lineage":["https://openalex.org/I149851306"],"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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1549184464","https://openalex.org/W1970357708","https://openalex.org/W2079340637","https://openalex.org/W2082067654","https://openalex.org/W2587582306"],"related_works":["https://openalex.org/W7220557246","https://openalex.org/W4241487965","https://openalex.org/W2086082038","https://openalex.org/W4249658750","https://openalex.org/W1992419637","https://openalex.org/W2031397039","https://openalex.org/W2053756109","https://openalex.org/W2075129989","https://openalex.org/W2093071793","https://openalex.org/W2164179852"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}